Measure of Diracness in two-dimensional semiconductors

Abstract

We analyze the low-energy properties of two-dimensional direct-gap semiconductors, such as for example the transition-metal dichalcogenides MoS${}_2$, WS${}_2$, and their diselenide analogues MoSe${}_2$, WSe${}_2$, etc., which are currently intensively investigated. In general, their electrons have a mixed character -- they can be massive Dirac fermions as well as simple Schrödinger particles. We propose a measure (Diracness) for the degree of mixing between the two characters and discuss how this quantity can in principle be extracted experimentally, within magneto-transport measurements, and numerically via ab initio calculations.

6 pages, 2 figures ; new version (with minor modifications) accepted for publication in EPL

References in corpus (5)

• Two Dimensional Atomic Crystals
• Optical signature of symmetry variations and spin-valley coupling in atomically thin tungsten dichalcogenides
• Merging of Dirac points in a two-dimensional crystal
• Quantum oscillations and Berry's phase in topological insulator surface states with broken particle-hole symmetry
• Magnetic quantum oscillations of the topological insulator surface states

Cited by in corpus (25)

• Momentum dependence of spin-orbit interaction effects in single-layer and multi-layer transition metal dichalcogenides
• Collective Excitations in 2D Materials
• Floquet dynamics in two-dimensional semi-Dirac semimetals and three-dimensional Dirac semimetals
• Magneto-electronic properties of multilayer black phosphorus
• Optical Absorption by Dirac Excitons in Single-Layer Transition-Metal Dichalcogenides
• Optical orientation with linearly polarized light in transition metal dichalcogenides
• Model Prediction of Self-Rotating Excitons in Two-Dimensional Transition-Metal Dichalcogenides
• Landau levels and Shubnikov-de Haas oscillations in monolayer transition metal dichalcogenide semiconductors
• Landau levels, response functions and magnetic oscillations from a generalized Onsager relation
• Landau Levels in 2D materials using Wannier Hamiltonians obtained by first principles
• Charged exctions in two-dimensional transition-metal dichalcogenides - semiclassical calculation of Berry-curvature effects
• Landau level spectroscopy of Bi${}_2$Te${}_3$
• The energy scale of Dirac electrons in Cd3As2
• Particle-Hole Asymmetry in Gapped Topological Insulator Surface States
• Tightly bound excitons in two-dimensional semiconductors with a flat valence band
• Aperiodic quantum oscillations of particle-hole asymmetric Dirac cones
• Measurement of Topological Berry Phase in Highly Disordered Graphene
• Berry Phase in Cuprate Superconductors
• Role of the Berry curvature on BCS-type superconductivity in two-dimensional materials
• Coulomb effects in the absorbance spectra of two-dimensional Dirac materials
• Electron Scattering in 2D Semiconductors: Contrasting Dirac and Schrödinger Behavior
• Cyclotron Resonance in Topological Insulators: Non-Relativistic Effects
• Semiclassical Landau quantization of spin-orbit coupled systems
• Landau level spectroscopy in current solid state physics
• Quantized Berry winding from an emergent $\mathcal{P}\mathcal{T}$ symmetry