Landau levels and Shubnikov-de Haas oscillations in monolayer transition metal dichalcogenide semiconductors

Abstract

We study the Landau level spectrum using a multi-band $\mathbf{k}\cdot \mathbf{p}$ theory in monolayer transition metal dichalcogenide semiconductors. We find that in a wide magnetic field range the Landau levels can be characterized by a harmonic oscillator spectrum and a linear-in-magnetic field term which describes the valley degeneracy breaking. The effect of the non-parabolicity of the band-dispersion on the Landau level spectrum is also discussed. Motivated by recent magnetotransport experiments, we use the self-consistent Born approximation and the Kubo formalism to calculate the Shubnikov de-Haas oscillations of the longitudinal conductivity. We investigate how the doping level, the spin-splitting of the bands and the broken valley degeneracy of the Landau levels affect the magnetoconductance oscillations. Motivated by recent experiments we consider monolayer MoS${}_2$ and WSe${}_2$ as concrete examples and compare the results of numerical calculations and an analytical formula which is valid in the semiclassical regime. Finally, we briefly analyze the recent experimental results (Reference [18]) using the theoretical approach we have developed.

References in corpus (13)

• Valley polarization in MoS2 monolayers by optical pumping
• k.p theory for two-dimensional transition metal dichalcogenide semiconductors
• Breaking of valley degeneracy by magnetic field in monolayer MoSe2
• Electronic structures and theoretical modelling of two-dimensional group-VIB transition metal dichalcogenides
• Non-linear Optical Spectroscopy of Excited Exciton States for Efficient Valley Coherence Generation in WSe2 Monolayers
• High Mobility WSe2 p- and n-Type Field Effect Transistors Contacted by Highly Doped Graphene for Low-Resistance Contacts
• Robust optical emission polarization in MoS2 monolayers through selective valley excitation
• Towards barrier free contact to MoS2 using graphene electrodes
• Intervalley Scattering and Localization Behaviors of Spin-Valley Coupled Dirac Fermions
• Unconventional Quantum Hall Effect and Tunable Spin Hall Effect in MoS2 Trilayers
• Valley Zeeman effect and spin-valley polarized conductance in monolayer MoS${}_2$ in a perpendicular magnetic field
• Local Spectroscopic Characterization of Spin and Layer Polarization in WSe${}_2$
• Spin-valley relaxation and quantum transport regimes in two-dimensional transition metal dichalcogenides

Cited by in corpus (20)

• Exciton g-factors of van der Waals heterostructures from first principles calculations
• Interactions and magnetotransport through spin-valley coupled Landau levels in monolayer MoS${}_2$
• Large effective mass and interaction-enhanced Zeeman splitting of $K$-valley electrons in MoSe${}_2$
• Ab-initio studies of exciton $g$ factors: Monolayer transition metal dichalcogenides in magnetic fields
• Exciton g-factors in monolayer and bilayer WSe${}_2$ from experiment and theory
• Valley Zeeman effect and Landau levels in Two-Dimensional Transition Metal Dichalcogenides
• Atomically inspired $k\cdot p$ approach and valley Zeeman effect in transition metal dichalcogenide monolayers
• $k\cdot p$ theory for phosphorene: Effective g-factors, Landau levels, and excitons
• Landau-quantized excitonic absorption and luminescence in a monolayer valley semiconductor
• Band nesting, massive Dirac Fermions and Valley Lande and Zeeman effects in transition metal dichalcogenides: a tight-binding model
• Symmetry-forbidden intervalley scattering by atomic defects in monolayer transition-metal dichalcogenides
• Atomistic $T$-matrix theory of disordered 2D materials: Bound states, spectral properties, quasiparticle scattering, and transport
• Quantum magnetotransport in a bilayer MoS2: influence of a perpendicular electric field
• Large g factor in bilayer WS${}_2$ flakes
• Magneto-optical properties of bilayer transition metal dichalcogenides
• Quantum oscillations in 2D electron gases with spin-orbit and Zeeman interactions
• Effective low energy Hamiltonians and unconventional Landau level spectrum of monolayer C${}_3$N
• Spin transport in n-type single-layer transition metal dichalcogenides
• High magnetic field spin-valley-split Shubnikov-de Haas oscillations in a WSe${}_2$ monolayer
• Quantum oscillations of valley current driven by microwave irradiation in transition-metal dichalcogenide/ferromagnet hybrids