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Valleytronics

Valleytronics is a subfield of electronics that utilizes the valley degree of freedom—distinct local maxima or minima in the electronic band structure of certain materials in momentum space—as an additional quantum resource for information encoding, manipulation, and storage, complementing traditional charge-based electronics and spin-based spintronics.^[1] This approach leverages the pseudospin-like properties of valleys, which can be selectively addressed and controlled, enabling potential advancements in energy-efficient devices and quantum technologies.^[2] The concept of valleytronics emerged from early studies on valley splitting in bulk semiconductors like silicon and gallium arsenide in the 1970s and 1980s, but gained significant traction in the 2010s with the isolation of two-dimensional (2D) materials such as graphene and transition metal dichalcogenides (TMDs).^[1] A pivotal development occurred in 2012 when valley polarization was experimentally demonstrated in monolayer MoS₂ using circularly polarized light, exploiting the material's broken inversion symmetry and strong spin-orbit coupling to couple valley index to optical helicity.^[1] Subsequent research extended this to other TMDs like WS₂, WSe₂, and MoSe₂, where valley-dependent optical selection rules allow for valley initialization, manipulation, and readout on picosecond timescales.^[2] Key materials for valleytronics include 2D TMDs, which exhibit direct bandgaps and valley-specific excitonic states, as well as graphene for its Dirac cone valleys and emerging candidates like bismuth and certain perovskites that offer tunable valley properties beyond traditional systems.^[1] Manipulation techniques encompass optical methods (e.g., resonant or off-resonant circularly polarized laser pulses to generate valley-imbalanced populations), electrical gating to tune valley splitting, strain engineering to modify band structures, and magnetic fields to induce valley Hall effects.^[2] In thermoelectric contexts, valley engineering—such as increasing valley degeneracy through doping—has been applied to enhance power factors in materials like PbTe and Bi₂Te₃, achieving figure-of-merit values up to zT ≈ 1.5.^[3] Potential applications of valleytronics span ultrafast optoelectronic devices, including valley-based transistors, light-emitting diodes (LEDs), and photodetectors, as well as quantum information processing via long-lived valley qubits.^[1] However, challenges persist, including short valley coherence times due to depolarization mechanisms like electron-electron scattering and phonon interactions, low operational temperatures, and difficulties in scalable integration.^[4] Recent progress, including the direct observation of dark excitons (2025) and Floquet-Bloch states (2025), in novel materials with enhanced spin-orbit coupling and heterostructures suggests pathways to overcome these hurdles, positioning valleytronics as a promising frontier for next-generation nanoelectronics.^[4]^[5]^[6]

Fundamentals

Valley degree of freedom

In the electronic band structure of certain materials, valleys refer to local minima or maxima in energy at specific points in the Brillouin zone, representing distinct momentum states for electrons or holes. These valleys serve as an additional quantum degree of freedom, analogous to spin, enabling the encoding and manipulation of information in valleytronics. The valley degree of freedom, often termed valley pseudospin, arises particularly in two-dimensional materials with hexagonal lattices, where the inequivalent K and K' points in the Brillouin zone host these degenerate energy extrema. In such systems, broken inversion symmetry—absent in pristine graphene but present in gapped monolayers—lifts degeneracies and allows valley-specific responses, treating the valley index as a pseudospin that can couple to external fields much like real electron spin. This pseudospin enables valley-polarized states, where electrons occupy one valley preferentially, providing a basis for information processing without relying on charge or spin alone.^[7] Mathematically, the valley index is denoted by \tau = \pm 1, corresponding to the K (\tau = +1) and K' (\tau = -1) points in momentum space. For Dirac-like systems near these points, the low-energy effective Hamiltonian captures the valley pseudospin through terms that distinguish the valleys:

H = \hbar v_F (\tau \sigma_x k_x + \sigma_y k_y)

where v_F is the Fermi velocity, \sigma_x and \sigma_y are Pauli matrices acting on the sublattice pseudospin, and \mathbf{k} is the wavevector relative to the valley center. This form highlights the time-reversal symmetry pairing of the valleys while allowing \tau to act as an internal degree of freedom.^[7] The concept of exploiting valleys for electronics was first proposed in graphene, where theoretical work demonstrated the feasibility of valley filters and valves to generate polarized currents.^[8] However, practical realization required gapped materials to open a bandgap and enhance valley selectivity, achieving observable valley-contrasting physics in experiments shortly thereafter.^[7]

Relation to other electronics paradigms

Conventional electronics primarily relies on the charge of electrons as the fundamental degree of freedom for information processing and storage, enabling the exponential scaling of transistor density as described by Moore's law. However, this paradigm faces significant limitations as devices approach atomic scales, with heat dissipation becoming a critical barrier due to increased power density following the end of Dennard scaling around 2004, where voltage reductions no longer proportionally decrease power consumption. Projections indicate that the industry is facing increasing challenges in further transistor miniaturization as of 2025, hindering continued scaling without alternative approaches. Spintronics emerged as a promising extension by exploiting the electron's spin degree of freedom alongside charge, aiming for lower-power devices through phenomena like spin-transfer torque and giant magnetoresistance. Despite these advances, spintronic systems struggle with short spin coherence times, typically on the order of picoseconds to nanoseconds in metals and semiconductors due to rapid spin relaxation from interactions with phonons, impurities, and magnetic fields, which limits efficient spin transport over macroscopic distances. This challenge has prevented spintronics from demonstrating substantial power or performance advantages over conventional complementary metal-oxide-semiconductor (CMOS) technology in practical applications.^[9] Valleytronics addresses these issues by utilizing the valley degree of freedom—distinct momentum space extrema in the band structure—as an additional information carrier, offering unique advantages such as longer valley coherence times at room temperature in two-dimensional materials, where degrees of valley coherence up to 20% have been observed in transition metal dichalcogenide-graphene heterostructures.^[10] Unlike spin, valleys in these materials exhibit robustness against certain decoherence mechanisms, enabling potential multi-valley encoding schemes that increase information density beyond binary spin states.^[11] Furthermore, valleytronics supports the generation of pure valley currents, which carry information via differential valley populations without net charge flow, thereby minimizing dissipative heating and power consumption compared to charge- or spin-based currents. Conceptually, the valley acts as a pseudospin degree of freedom analogous to orbital angular momentum, allowing for valley-dependent selection rules in light-matter interactions and enabling the valley Hall effect, which mirrors the quantum spin Hall effect by producing transverse valley currents under an electric field without net charge transport.^[7] This framework positions valleytronics as a complementary paradigm, potentially integrating with spintronics for hybrid devices that leverage multiple electron degrees of freedom for enhanced efficiency.^[9]

Materials

Transition metal dichalcogenides

Transition metal dichalcogenides (TMDs) with the general formula MX₂, where M is a transition metal such as molybdenum (Mo) or tungsten (W) and X is a chalcogen like sulfur (S), selenium (Se), or tellurium (Te), form layered van der Waals crystals consisting of X-M-X sandwich structures held together by weak interlayer forces.^[12] In their bulk form, these materials exhibit indirect bandgaps, but isolation into monolayers via techniques like mechanical exfoliation reveals a transition to direct bandgaps at the K and K' points of the Brillouin zone, enabling strong light-matter interactions essential for valleytronic applications.^[13] This structural anisotropy, combined with the absence of inversion symmetry in monolayers, underpins the valley degree of freedom by allowing distinct electronic states at the inequivalent K and K' valleys.^[14] The electronic band structure of monolayer TMDs features valley splitting primarily at the K and K' points, driven by strong spin-orbit coupling (SOC) from the d-orbitals of the metal atoms and the broken inversion symmetry.^[15] For instance, in Mo-based TMDs like MoS₂, the valence band experiences a large SOC-induced splitting of approximately 150 meV, while the conduction band splitting is smaller, around 3 meV; in W-based TMDs such as WS₂, the conduction band splitting is around 12 meV, due to heavier tungsten atoms enhancing SOC.^[15]^[16] This results in spin-valley locking, where opposite spins are preferentially associated with the K and K' valleys. Additionally, valley-dependent optical selection rules arise: circularly polarized light with σ⁺ helicity selectively excites the K valley, while σ⁻ light targets the K' valley, enabling optical readout and control of valley populations.^[17] Prominent examples include MoS₂, WS₂, and WSe₂, which have been extensively studied for their valleytronic potential. Monolayer MoS₂ possesses a direct bandgap of approximately 1.8 eV, allowing valley polarization efficiencies reaching up to 90% at low temperatures under circularly polarized optical pumping.^[18] Similarly, WS₂ exhibits a direct bandgap around 2.0 eV and demonstrates valley polarization up to ~89% in thicker samples at room temperature due to the dominance of indirect transitions, though direct exciton polarization is typically lower.^[19] WSe₂, with a direct bandgap of about 1.6 eV, shows valley polarization up to 70% for neutral excitons at low temperatures, though dark excitons can further enhance coherence times.^[20] These properties highlight TMDs' suitability for encoding information in valley states. Fabrication of high-quality monolayer TMDs is crucial for preserving valley properties, with mechanical exfoliation yielding pristine samples from bulk crystals that exhibit minimal defects and long valley lifetimes, often used in early demonstrations of valley polarization.^[21] Chemical vapor deposition (CVD) enables scalable growth on substrates, producing large-area monolayers, but introduces challenges like sulfur vacancies or grain boundaries that can scatter carriers and reduce valley coherence, though optimized CVD processes achieve polarization efficiencies comparable to exfoliated samples.^[22] Both methods confirm that monolayer isolation is key to maintaining the direct bandgap and valley contrast necessary for valleytronics.^[23]

Beyond TMDs

While transition metal dichalcogenides (TMDs) have established the foundation for valleytronics through their robust valley degrees of freedom at the K and K' points, alternative materials offer opportunities for tunability and integration in diverse systems.^[24] Graphene, a prototypical two-dimensional material, features Dirac cone band structures at the K and K' valleys, enabling massless Dirac fermions and valley-dependent phenomena such as the valley Hall effect. However, its zero bandgap limits direct optical addressing, necessitating bandgap opening via strain, electric fields, or heterostructures for practical valleytronic applications.^[1] Silicene and germanene, as buckled honeycomb lattices analogous to graphene but with low-buckled structures due to sp3 hybridization, exhibit Dirac-like band dispersions with valleys that can be tuned via proximity effects from substrates. These substrate interactions induce spin-valley polarization, enabling selective manipulation of valley carriers for potential spin-valleytronic applications.^[25] Furthermore, germanene supports valley-polarized anomalous Hall effects when functionalized with transition metal adatoms like Cr or Mn, highlighting its topological valley properties suitable for dissipationless valley transport.^[26] Such features arise from the buckled geometry, which breaks inversion symmetry more readily than in planar graphene, facilitating electric-field control of valley contrasts.^[27] Phosphorene, a puckered orthorhombic monolayer of black phosphorus from group V elements, displays anisotropic electronic properties stemming from its low-symmetry structure, leading to inequivalent valleys along the armchair and zigzag directions.^[28] This anisotropy enables valley-selective transport, as demonstrated in Floquet-engineered phosphorene junctions where circularly polarized light drives valley filtering with high on/off ratios.^[29] Similar puckered architectures in related group V materials, such as arsenene, further support valley-dependent responses, with potential for optical valley injection due to directionally dispersive bands.^[30] These properties position group V monolayers as candidates for anisotropic valleytronics, contrasting the isotropic valleys in TMDs. Recent advancements have extended valleytronics to three-dimensional materials like bismuth, where high magnetic fields induce complete valley polarization by emptying specific Dirac valleys, revealing magnetoresistance drops tied to inter-valley carrier transfer.^[31] In hybrid systems, such as van der Waals heterostructures incorporating TMD layers, valley contrasts are enhanced through interlayer coupling, though maintaining coherence remains key.^[32] Additionally, novel two-dimensional magnets, including altermagnets, exhibit giant valley splittings up to hundreds of meV coupled to spin, enabling tunable valley polarization via magnetic ordering.^[33] Developments in 2025 include weak valley-layer coupling in bilayer magnets, allowing electric-field reversal of valley contrasts without strong intervalley scattering.^[34] Despite these promises, materials beyond TMDs face challenges such as smaller intrinsic valley contrasts—often below 100 meV in silicene compared to over 150 meV in TMDs—limiting selective excitation efficiency.^[25] Synthesis hurdles, including substrate-induced buckling instability in silicene and phosphorene, hinder large-scale production, though their compatibility with silicon-based processes offers integration advantages over isolated TMD flakes.^[35] Efforts to mitigate these via epitaxial growth continue to improve scalability for practical valleytronic prototypes.^[36]

Manipulation methods

Optical control

Optical control in valleytronics leverages light to selectively excite and manipulate valley degrees of freedom in materials like transition metal dichalcogenides (TMDs), where the broken inversion symmetry enables valley-dependent optical transitions. Circularly polarized light, specifically σ⁺ and σ⁻ helicities, couples preferentially to the K and K′ valleys, respectively, through excitonic transitions at the direct band edges. This valley-selective excitation arises from the phase mismatch in the Bloch wavefunctions between conduction and valence bands at opposite valleys, governed by the dipole matrix element. The absorption coefficient for a given valley τ is proportional to the squared modulus of this element:

\alpha(\tau) \propto \left| \langle \psi_\tau | \mathbf{e} \cdot \mathbf{r} | \psi_c \rangle \right|^2,

where \psi_\tau and \psi_c are the valence and conduction band states at valley τ, \mathbf{e} is the light polarization vector, and \mathbf{r} is the position operator.^[37]^[38] Time-resolved optical techniques employ femtosecond laser pulses to initialize valley populations via resonant excitation and read them out through polarization-resolved photoluminescence or transient absorption. These methods reveal valley dynamics on ultrafast timescales, with initialization occurring in sub-picosecond durations due to direct exciton formation. Valley depolarization, primarily driven by intervalley scattering from electron-hole exchange or phonon interactions, typically spans picoseconds at elevated temperatures to nanoseconds at low temperatures or in engineered structures. Advanced optical approaches extend this control beyond static excitation. Floquet engineering uses periodic driving fields, such as intense circularly polarized infrared pulses, to induce valley-polarized Floquet-Bloch states in WSe₂ monolayers, achieving Floquet-Bloch population polarization >50% with valley asymmetry ~±15% through quantum path interference between Floquet and Volkov states.^[6] Cavity-enhanced methods couple TMD excitons to optical cavities, like microsphere arrays or dielectric Bragg reflectors, to boost radiative decay rates via the Purcell effect and suppress depolarization, enhancing valley coherence. In a WSe₂-λ/2 cavity system, this yields ~9% linear polarization degree at room temperature by hybridizing excitons with photons for decoherence-resistant channels.^[39]^[40] Experimental milestones trace the evolution of optical valley control. The first demonstration of valley polarization in MoS₂ monolayers used circularly polarized pumping to achieve up to 30% dynamic polarization persisting over 1 ns, confirming the optical helicity selection rule. Recent advances have realized room-temperature operation, with chiral perovskite integration in TMDs boosting polarization to up to ~8% by spin-selective charge transfer.^[37]^[41]

Electrical and strain engineering

Electrical gating in valleytronics enables the manipulation of valley degrees of freedom through electrostatic means, such as proximity effects or doping, without relying on optical excitation. In proximity-induced schemes, ferromagnetic substrates like EuS can generate a giant valley splitting in monolayer WS₂, reaching up to 16 meV/T due to exchange interactions that couple valley pseudospin to spin-orbit coupling.^[42] Electrostatic doping, achieved via gate voltages in field-effect transistors, modulates carrier density and induces valley polarization; for instance, in WSe₂ heterostructures, electric fields up to 0.6 V/Å can produce valley splitting up to 67 meV by magnetic proximity effects.^[43] These methods leverage the broken inversion symmetry in transition metal dichalcogenides (TMDs) to selectively populate one valley over the other. The valley Hall effect (VHE) underpins electrical valley transport, where an in-plane electric field drives transverse valley currents due to opposite Berry curvatures at the K and K' valleys. In TMDs like MoS₂, the VHE conductivity is approximated as \sigma_v = \frac{e^2}{h} \tau \Omega, where \tau is the relaxation time and \Omega represents the Berry curvature dipole, enabling valley separation with conductivities on the order of 10⁻⁶ S in experiments.^[44] This effect has been observed in bilayer TMDs, where interlayer coupling enhances the Berry curvature, yielding tunable Hall voltages up to 1 mV under low bias.^[45] Strain engineering provides a mechanical route to valley control by deforming the lattice, which shifts the positions of valleys in momentum space and modifies their energy. Uniaxial strain along the armchair direction in monolayer MoS₂, for example, displaces the K and K' points by up to 0.1 Å⁻¹ under 5% strain, generating valley currents via pseudomagnetic fields.^[46] The energy shift is modeled by \delta E = \beta \varepsilon, where \beta is the deformation potential (typically 2-5 eV for TMDs) and \varepsilon is the strain tensor component, allowing selective valley filtering with polarization ratios over 90% in strained graphene-TMD hybrids.^[47] Hybrid approaches combine electrical gating with strain via specialized substrates to achieve precise valley tuning. Piezoelectric substrates like LiNbO₃ integrated with MoS₂ enable acousto-electric modulation, where surface acoustic waves induce dynamic strain and electric fields.^[48] In ferroelectric-gated WS₂ devices, nonvolatile polarization from the substrate yields persistent valley tuning, tunable by gate voltage sweeps.^[49] These methods complement optical techniques by offering stable, low-power control suitable for device integration. Key experiments have demonstrated practical valley manipulation using these techniques. In 2014, electrical control of spin-valley currents was achieved in WSe₂ transistors, where gate-induced doping switched valley polarization, laying groundwork for WS₂ analogs.^[50] Subsequent WS₂ studies from 2019 onward reported electrostatic valley manipulation via proximity to EuS at room temperature.^[42]

Devices and applications

Valleytronic components

Valley filters are essential components in valleytronics that selectively transmit carriers from one valley (K or K') while suppressing those from the other, enabling valley separation for information processing. These devices often exploit symmetry-breaking mechanisms such as strain, interfaces, or proximity effects in two-dimensional materials. A notable example involves a WSe₂ monolayer placed on a ferromagnetic insulator, where proximity-induced spin-orbit coupling creates valley-dependent transmission barriers, achieving near-unity transmission T(\tau) \approx 1 for one valley and low transmission for the other under appropriate gate voltages.^[51] In such heterostructures, the valley filtering efficiency can reach up to 90% at room temperature, depending on the strength of the interfacial coupling and applied electric fields.^[52] Valley valves and polarizers extend this functionality by enabling unidirectional or highly polarized valley transport, crucial for directing valley currents in circuits. Valley valves typically rely on magnetic fields or engineered interfaces to break time-reversal symmetry, allowing selective propagation of one valley's carriers while blocking the opposite. For instance, in transition metal dichalcogenide (TMD) monolayers interfaced with two-dimensional ferromagnetic semiconductors, electrical gating induces valley-dependent effects, resulting in unidirectional transport with valley polarization P_v = \frac{I_K - I_K'}{I_K + I_K'} exceeding 80% at low temperatures.^[53] Polarizers, often implemented via spin-valley locking at edges or defects, achieve similar figures of merit through electrical gating, where P_v values approach 95% in strained MoS₂ channels interfaced with ferromagnetic insulators.^[54] These components leverage optical or electrical manipulation methods briefly, such as gate-tuned bandgaps, to enhance polarization without detailed control schemes. Detectors in valleytronics provide readout mechanisms to distinguish valley populations, often through valley-dependent electrical signals. Common schemes exploit photocurrents generated by circularly polarized light, which selectively excites one valley due to optical selection rules in TMDs, producing a valley-polarized current measurable as a voltage difference. In MoS₂-based detectors, this yields photocurrent contrasts up to 10 times higher for σ⁺ versus σ⁻ polarization, with response times on the order of picoseconds.^[55] Alternatively, resistance changes arise from the valley Hall effect, where transverse voltage shifts occur due to opposite Berry curvatures in K and K' valleys, enabling non-optical detection in gated devices. Early prototypes of valleytronic transistors, such as those based on monolayer MoS₂, demonstrated the feasibility of valley manipulation in 2014 by observing the valley Hall effect under circularly polarized illumination, with Hall voltages up to 10 μV indicating valley separation at low temperatures. Building on this, bilayer MoS₂ transistors reported in 2015 (preprint) achieved electrical gating of the valley Hall conductivity, modulating valley currents by over 50% via perpendicular electric fields that break inversion symmetry, marking a step toward gate-controllable valley switches with on/off ratios exceeding 10.^[56] These prototypes highlighted efficiency metrics like valley coherence times on the order of nanoseconds, paving the way for practical valleytronic logic elements.

Potential implementations

Valley-based logic gates leverage the valley degree of freedom to encode binary information, where the K and K′ valleys in materials like transition metal dichalcogenides (TMDs) represent logic states '0' and '1', providing a pathway to low-power alternatives to traditional charge-based CMOS electronics. All-electrical control of valley currents enables implementation of universal logic operations, such as NOT and AND gates, through electrostatic gating that selectively populates one valley while suppressing the other.^[57] These gates exploit topological protection in 2D-Xene materials, achieving near-unity valley polarization and robustness against disorder, which minimizes scattering losses.^[58] Projections indicate energy efficiencies far surpassing silicon CMOS, with switching energies in the fW range for valley transistors compared to nW–μW for CMOS equivalents, potentially yielding over 10× power savings through dissipationless edge states.^[59] In quantum valleytronics, valley qubits encoded in the spin-valley locked states of TMDs, such as MoS₂ and WS₂ monolayers, offer promising platforms for quantum computing due to their compatibility with optical initialization and readout. These qubits benefit from strong spin-orbit coupling, which preserves valley coherence, and enable scalable integration via van der Waals heterostructures.^[60] Entanglement between valley qubits can be generated via exchange interactions in double quantum dots, where valley pseudospins couple to form singlet-triplet states, though experimental demonstration remains pending due to momentum separation challenges.^[61] Such systems could support fault-tolerant quantum gates with coherence times enhanced by cavity integration.^[62] Sensing applications harness valley-selective responses for enhanced detection capabilities, particularly in photodetectors exhibiting circular dichroism, where left- and right-circularly polarized light excites distinct valleys to produce helicity-dependent photocurrents. In monolayer MoS₂ photodetectors, this yields up to 60% polarization in the photocurrent via the circular photogalvanic effect, enabling polarization-sensitive imaging with responsivities around 3.5 A/W at room temperature.^[63] Valley edge modes in topological photonic crystals have been proposed for high-sensitivity refractive index detection.^[64] Integration prospects for hybrid valley-silicon chips involve stacking 2D valleytronic layers on silicon substrates to combine the former's quantum degrees of freedom with the latter's mature fabrication infrastructure, facilitating co-integration of valley memory devices with CMOS circuitry. Roadmaps for 2D materials emphasize heterogeneous integration techniques, such as transfer printing and epitaxial growth, targeting scalable valley-based non-volatile memories by 2025 through improved interface quality and defect mitigation.^[65] These hybrids promise dense, low-power storage leveraging persistent valley polarization for bit retention.^[60] Recent advances as of 2025 include demonstrations of ultrafast room-temperature valley manipulation in silicon and diamond using terahertz pulses, opening pathways for high-speed valleytronic devices in compatible semiconductor platforms.^[66] Additionally, Floquet-Bloch engineering in WSe₂ has enabled valley-polarized states with circularly polarized light, advancing ultrafast optoelectronic applications.^[6] Confluence with spintronics and piezoelectricity in novel heterostructures further enhances device multifunctionality.^[67]

Challenges and outlook

Key limitations

One of the primary challenges in valleytronics is valley depolarization, which arises from intervalley scattering processes that mix the distinct valley states, such as those at the K and K' points in the Brillouin zone of transition metal dichalcogenides (TMDs). Key mechanisms include scattering mediated by acoustic or optical phonons, particularly zone-corner phonons that couple the valleys, and interactions with impurities or defects that break valley symmetry. These processes lead to a depolarization rate \Gamma that scales linearly with temperature, \Gamma \propto T, due to enhanced phonon populations at higher temperatures. At room temperature, valley coherence times \tau_v in monolayer TMDs are typically short, often less than 100 ps, limiting the time window for valley-based information processing.^[68] Scalability of valleytronic devices is hindered by the inherent sensitivity of two-dimensional (2D) materials to defects, which introduce scattering centers that accelerate valley mixing and reduce device uniformity. In TMDs grown via chemical vapor deposition (CVD), for instance, high defect densities from synthesis impurities or processing steps compromise valley preservation, leading to low fabrication yields and variability in performance across large-area samples.^[69] This defect sensitivity exacerbates challenges in integrating valleytronic elements into scalable architectures, as even minor imperfections can disrupt the delicate valley degree of freedom required for reliable operation. Environmental factors further complicate valleytronic implementation, with substrates and material edges inducing local perturbations that promote valley mixing. Substrate-induced strain or disorder in TMD monolayers can hybridize valley states through coherent coupling, enhancing depolarization rates.^[70] Similarly, edges in finite-sized flakes or nanoribbons introduce boundary scattering that mixes valleys, particularly in unpassivated structures exposed to ambient conditions.^[71] Compared to spintronics, valley degrees of freedom often exhibit shorter coherence times in TMDs—typically picoseconds versus nanoseconds to microseconds for spins in similar semiconductors—due to stronger coupling to lattice phonons and environmental noise. However, mitigations such as encapsulation in hexagonal boron nitride (hBN) can extend coherence by shielding against substrate effects and reducing defect-induced scattering, thereby improving valley lifetime in protected heterostructures.^[72]

Recent advances

Recent advances in valleytronics have focused on enhancing valley preservation, control, and device performance through novel material engineering and dynamic manipulation techniques. In van der Waals heterostructures, such as MoSe₂/WSe₂ bilayers, researchers have demonstrated valley preservation across layers by leveraging moiré patterns and interlayer excitons, enabling tunable valley excitons with high polarization degrees. For instance, lasing from moiré-trapped interlayer excitons in hBN-encapsulated MoSe₂/WSe₂ heterobilayers has been achieved at room temperature, showing valley-selective emission with quality factors exceeding 10⁴. Similarly, polarons have been identified as key to shaping narrow emission lines in these structures, preserving valley coherence under varying conditions.^[73]^[74] Floquet engineering has emerged as a powerful approach for light-driven valley control in transition metal dichalcogenides (TMDs). As of July 2025, experiments on 2H-WSe₂ demonstrated the formation of valley-polarized Floquet-Bloch states using below-bandgap circularly polarized light pulses, revealing quantum-path interference dependent on valley pseudospin and light polarization. This technique induces topological valleys with valley-polarized edge states, offering potential for ultrafast valleytronic switching without static fields.^[6] Doping strategies and extensions beyond TMDs have further boosted valley contrast and functionality. A 2025 first-principles study on Janus-type 2H-MoSeTe monolayers doped with 3d transition metals (Mn, Cr, Fe, Co, Ni) showed significant enhancements in valley splitting and polarization, with dopants inducing magnetic moments that couple spin and valley degrees of freedom for improved contrast ratios. In 2D magnetic materials, valleytronics has been realized through intrinsic spin-valley locking, as seen in zero-net-magnetization magnets exhibiting ultradense valley polarization at room temperature. These systems combine ferromagnetic ordering with valley selectivity, enabling spin-valley polarized transport.^[75]^[76]^[77] Key milestones include the development of room-temperature valley transistors and advances in quantum valley qubits. Valley transistors operating at ambient conditions were demonstrated in 2022 using free carrier valley polarization with lifetimes exceeding nanoseconds, paving the way for low-power neuromorphic computing; subsequent 2024 enhancements via electrochemical intercalation in multilayer MoS₂ achieved persistent valley polarization through trion dominance. For quantum applications, as of February 2025, spin-valley protected qubits in bilayer graphene have shown potential for long coherence via reduced valley mixing.^[59]^[78]^[79]

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May 19, 2017 · We trace the origin of the large drop in magnetoresistance across B empty to transfer of carriers between valleys with highly anisotropic mobilities.
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Oct 1, 2021 · We investigate sign change of valley-dependent Berry phase effects which drive the change-in-sign valley anomalous transport characteristics.
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Giant valley splitting and tunable anisotropic spin plasmons ... - Nature
Aug 26, 2025 · Recent studies have shown that 2D altermagnetic (AM) materials possess valley pairs with opposite spin polarization, exhibiting intrinsic spin- ...
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[PDF] Recent Advancements in the Development of Two-dimensional ...
Sep 16, 2025 · One of the main challenges in utilising TMDs for practical applications is the scalable production of defect-free ... beyond graphene extends ...
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[PDF] Mohammad Choucair - arXiv
Here, we review the experimental and theoretical state-of-art concerning the electron spin dynamics in graphene, silicene, phosphorene, transition metal ...
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Control of valley polarization in monolayer MoS2 by optical helicity - Nature Nanotechnology
### Key Findings on Optical Valley Polarization in MoS₂
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Inverted valley polarization in optically excited transition metal ...
Mar 6, 2018 · The equation includes a term describing the intrinsic Coulomb-induced intervalley coupling of excitonic states in different valleys (last line ...
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Floquet-Bloch valleytronics | Nature Communications
Jul 1, 2025 · We demonstrate the formation of valley-polarized Floquet-Bloch states in 2H-WSe 2 upon below-bandgap driving with circularly polarized light pulses.
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https://arxiv.org/pdf/2509.12940
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Room-temperature valley coherence in a polaritonic system - Nature
Apr 3, 2019 · The emerging field of valleytronics aims to coherently manipulate an electron and/or hole's valley pseudospin as an information bearing ...
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We report a giant valley exciton splitting of 16 meV/T for monolayer WS 2 , using the proximity effect from an EuS substrate, which is enhanced by nearly two ...
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Jan 8, 2021 · Valleytronics is receiving extensive research efforts. Thus, we investigated the electric field-induced valley polarization in the ...
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[PDF] Spin-orbit coupling induced valley Hall effects in transition-metal ...
Upon application of in-plane electric fields, the Berry curvature drives carriers from opposite valleys to flow in opposite transverse directions, leading to ...Missing: (e²/ | Show results with:(e²/
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Oct 23, 2015 · Here we fabricate and characterize a hybrid MoS 2 /LiNbO 3 acousto-electric device via a scalable route that uses millimetre-scale direct chemical vapour ...
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Nonvolatile Electrical Valley Manipulation in WS 2 by Ferroelectric ...
Here we report an experimental approach toward measuring the exciton binding energy of monolayer WS2 with linear differential transmission spectroscopy and ...
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[PDF] Generation and electric control of spin–valley - Stanford University
Sep 7, 2014 · A spin-coupled valley photocurrent in WSe2 is generated by circularly polarized light, and its direction and magnitude can be controlled by an ...
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Valleytronics Meets Straintronics: Valley Fine Structure Engineering ...
Mar 6, 2024 · This review provides perspectives and guidance on the future directions of valley-straintronics and flexible 2D optoelectronics using TMDs, ...
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Spin and Valley Filter Based on Two-Dimensional Heterostructures
Mar 24, 2021 · In this work, we investigate the spin and valley transport properties of a W ⁢ S e 2 monolayer placed on top of a ferromagnetic insulator.
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Oct 18, 2016 · We focus on the valley efficiency under disorder with two valley filter models based on monolayer and bilayer graphene.
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Electrically switchable valley polarization, spin/valley filter, and valve ...
We propose to manipulate the electron valleys in these systems for spin/valley filter and valve devices through band engineering.
[50]
[PDF] Two-dimensional spin-valley locking spin valve
Oct 25, 2019 · Here, we propose exploiting the spin-valley locking in 2D materials with a large spin-orbit coupling and electric-field reversible valley spin ...
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Valley polarization and photocurrent generation in transition metal ...
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Electrical control of the valley Hall effect in bilayer MoS2 transistors
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Valleytronics in merging Dirac cones: All-electric-controlled valley ...
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### Summary of Valleytronics Logic Gates, Energy Efficiency, and Projections Compared to CMOS
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Room-temperature valley transistors for low-power neuromorphic ...
Dec 15, 2022 · Charge-based electronics with conventional semiconductors are reaching their fundamental limits in power efficiency due to inevitable carrier ...
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May 12, 2021 · We explore a two-qubit system defined on valley isospins of two electrons confined in a gate-defined double quantum dot created within a M o ⁢ S 2 monolayer ...
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Persistent entanglement of valley exciton qubits in transition metal ...
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Dichroic spin–valley photocurrent in monolayer molybdenum ...
Jul 2, 2015 · The aim of valleytronics is to exploit confinement of charge carriers in local valleys of the energy bands of semiconductors as an ...
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Mar 26, 2020 · First, the valley depolarization mostly takes place before photoexcited excitons reach thermal equilibrium with the lattice. Second, the ...
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Observation of ~100% valley-coherent excitons in monolayer MoS2 ...
Jul 13, 2023 · This leads to a sub-picosecond valley coherence time, making coherent manipulation of exciton a highly challenging task.
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Enhanced Valley Polarization in MoS2 via Substrate-Induced Strain ...
Our measurements reveal that the degree of polarization (DOP) and valley lifetime are significantly enhanced in transferred MoS2, with pronounced dependence on ...
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Valleytronics in two-dimensional materials with line defect
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Momentum-forbidden dark excitons in hBN-encapsulated monolayer ...
Jul 19, 2019 · In this paper, we present measurements of temperature dependence of photoluminescence intensity from monolayer MoS 2 encapsulated by hBN flakes.
[67]
Lasing of moiré trapped MoSe2/WSe2 interlayer excitons coupled to ...
Jan 10, 2024 · We report lasing of moiré trapped interlayer excitons (IXs) by integrating a pristine hBN-encapsulated MoSe 2 /WSe 2 heterobilayer into a high-Q (>10 4 ) ...<|control11|><|separator|>
[68]
Polarons shape the interlayer exciton emission of MoSe2 ... - Nature
Oct 1, 2025 · In this letter, we provide compelling experimental evidence that spectrally narrow IX emission lines in MoSe2/WSe2 HBs, conventionally ascribed ...
[69]
A first-principles study on the effects of 3d transition metal dopants ...
A first-principles study on the effects of 3d transition metal dopants on the valleytronic properties of Janus-type 2H-MoSeTe monolayers. Check for updates.
[70]
Valleytronics in two-dimensional magnetic materials - IOPscience
Apr 25, 2024 · Valleytronics uses valleys, a novel quantum degree of freedom, to encode information. It combines other degrees of freedom, such as charge and spin.Missing: paper | Show results with:paper
[71]
Valley polarization in two-dimensional zero-net-magnetization ...
Feb 25, 2025 · In this perspective article, we provide some possible design strategies to achieve valley polarization and spin-splitting in 2D zero-net-magnetization magnets.Missing: polarizers | Show results with:polarizers
[72]
Indirect‐To‐Direct Bandgap Crossover and Room‐Temperature ...
Oct 6, 2024 · Indirect-to-direct bandgap crossover and room-temperature valley polarization of multilayer MoS 2 achieved by electrochemical intercalation.