Magnetic control of the valley degree of freedom of massive Dirac fermions with application to transition metal dichalcogenides

Abstract

We study the valley-dependent magnetic and transport properties of massive Dirac fermions in multivalley systems such as the transition metal dichalcogenides. The asymmetry of the zeroth Landau level between valleys and the enhanced magnetic susceptibility can be attributed to the different orbital magnetic moment tied with each valley. This allows the valley polarization to be controlled by tuning the external magnetic field and the doping level. As a result of this magnetic field induced valley polarization, there exists an extra contribution to the ordinary Hall effect. All these effects can be captured by a low energy effective theory with a valley-orbit coupling term.

9 pages, 6 figures

References in corpus (9)

• Electric Field Effect in Atomically Thin Carbon Films
• Two Dimensional Atomic Crystals
• Valley polarization in MoS2 monolayers by optical pumping
• Valley filter and valley valve in graphene
• Valley Dependent Optoelectronics from Inversion Symmetry Breaking
• Edge states in Graphene: from gapped flat band to gapless chiral modes
• Semiclassical theories of the anomalous Hall effect
• Controllable valley and spin transports in ferromagnetic silicene junctions
• Unconventional Quantum Hall Effect and Tunable Spin Hall Effect in MoS2 Trilayers

Cited by in corpus (64)

• Valley Zeeman Effect in Elementary Optical Excitations of a Monolayer WSe2
• Breaking of valley degeneracy by magnetic field in monolayer MoSe2
• Electronic structures and theoretical modelling of two-dimensional group-VIB transition metal dichalcogenides
• Valley Splitting and Polarization by the Zeeman Effect in Monolayer MoSe2
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• Giant and tunable valley degeneracy splitting in MoTe2
• Topological Polaritons
• Spin-orbit coupling, quantum dots, and qubits in monolayer transition metal dichalcogenides
• Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
• \textit{Ab-initio} Tight-Binding Hamiltonian for Transition Metal Dichalcogenides
• Valley-dependent properties of monolayer MoSi${}_2$N${}_4$, WSi${}_2$N${}_4$ and MoSi${}_2$As${}_4$
• Valley-spin polarized Landau levels in a monolayer semiconductor
• Observation of an intrinsic bandgap and Landau level renormalization in graphene/boron-nitride heterostructures
• Valleytronics in merging Dirac cones: All-electric-controlled valley filter, valve and universal reversible logic gate
• Valley-Layer Coupling: A New Design Principle for Valleytronics
• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
• Spin-valley filtering in strained graphene structures with artificially induced carrier mass and spin-orbit coupling
• Density-Dependent Quantum Hall States and Zeeman Splitting in Monolayer and Bilayer WSe${}_2$
• Correlation-driven topological and valley states in monolayer VSi${}_2$P${}_4$
• Magneto-excitons in large area CVD grown monolayer MoS${}_2$ and MoSe${}_2$ on sapphire
• Valley Contrasting Magnetoluminescence in Monolayer MoS${}_2$ Quantum Hall Systems
• Shubnikov-de Haas oscillations in optical conductivity of monolayer MoSe${}_2$
• Perfect Valley Filter in Topological Domain Wall
• Large and Controllable Spin-Valley Splitting in Two-Dimensional WS2/h-VN Heterostructure
• Valley Zeeman effect and Landau levels in Two-Dimensional Transition Metal Dichalcogenides
• Tunable spin polarization and electronic structure of bottom-up synthesized MoSi${}_2$N${}_4$ materials
• Nonlinear Valley Hall Effect
• Two-dimensional topological semimetals
• Field induced topological phase transition from a three-dimensional Weyl semimetal to a two-dimensional massive Dirac metal in ZrTe5
• Probing Landau levels of strongly interacting massive Dirac electrons in layer-polarized MoS${}_2$
• Landau-quantized excitonic absorption and luminescence in a monolayer valley semiconductor
• Dissipationless Layertronics in Axion Insulator $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Band nesting, massive Dirac Fermions and Valley Lande and Zeeman effects in transition metal dichalcogenides: a tight-binding model
• Electrically tunable valley polarization in Weyl semimetals with tilted energy dispersion
• Strain-induced valley polarization, topological states, and piezomagnetism in two-dimensional altermagnetic V${}_2$Te${}_2$O, V${}_2$STeO, V${}_2$SSeO, and V${}_2$S${}_2$O
• Landau levels and Shubnikov-de Haas oscillations in monolayer transition metal dichalcogenide semiconductors
• Spontaneous valley polarization of interacting carriers in a monolayer semiconductor
• Linear magnetotransport in monolayer MoS${}_2$
• Many-body exciton and inter-valley correlations in heavily electron-doped WSe${}_2$ monolayers
• Type-II topological metals
• Valley-Contrasting Orbital Magnetic Moment Induced Negative Magnetoresistance
• Triggering superconductivity, semiconducting states, and ternary valley structure in graphene via functionalization with Si-N layers
• Probing the uniaxial strain-dependent valley drift and Berry curvature in monolayer MoSi${}_2$N${}_4$
• Nanoscale Probing of Broken-Symmetry States in Graphene Induced by Individual Atomic Impurities
• Landau level spectrum and magneto-optical conductivity in tilted Weyl semimetal
• Controlling the orbital Hall effect in gapped bilayer graphene in the terahertz regime
• Buckled honeycomb lattice and unconventional magnetic response
• Realization of valley-spin polarized current via parametric pump in monolayer $\mathrm{Mo}{\mathrm{S}}_2$
• Lithium and Vanadium Intercalation into Bilayer V2Se2O: Ferrimagnetic-Ferroelastic Multiferroics and Anomalous and Spin Transport
• High-performance nanoscale topological energy transduction
• Orbital magnetic moments in insulating Dirac systems: Impact on magnetotransport in graphene van der Waals heterostructures
• Two-Dimensional Altermagnetic Iron Oxyhalides: Real Chern Topology and Valley-Spin-Lattice Coupling
• Three-dimensional valley-contrasting sound
• Magnetizations and de Haas-van Alphen oscillations in massive Dirac fermions
• Valley-dependent electronic properties in two-dimensional altermagnetic iron-based transition metal chalcogenides
• Recent advances of defect-induced spin and valley polarized states in graphene
• Theory of interaction-induced renormalization of Drude weight and plasmon frequency in chiral multilayer graphene
• Theory of Nonlocal Transport from Nonlinear Valley Responses
• Generation and control of non-local chiral currents in graphene superlattices by orbital Hall effect
• Geometrical spin manipulation in Dirac flakes
• Detecting degeneracy and subtle broken-symmetry states of graphene at nanoscale
• Intrinsic Valley-Related Multiple Hall Effect in 2D Organometallic Lattice
• Intrinsic nonlinear valley Nernst effect
• Quantum oscillations of valley current driven by microwave irradiation in transition-metal dichalcogenide/ferromagnet hybrids