Hidden Anisotropy in the Drude Conductivity of Charge Carriers with Dirac-Schrödinger Dynamics

Abstract

We show that the conductivity of a two-dimensional electron gas can be intrinsically anisotropic despite isotropic Fermi surface, energy dispersion, and disorder configuration. In the model we study, the anisotropy stems from the interplay between Dirac and Schrödinger features combined in a special two-band Hamiltonian describing the quasiparticles similar to the low-energy excitations in phosphorene. As a result, even scalar isotropic disorder scattering alters the nature of the carriers and results in anisotropic transport. Solving the Boltzmann equation exactly for such carriers with point-like random impurities we find a hidden knob to control the anisotropy just by tuning either the Fermi energy or temperature. Our results are expected to be generally applicable beyond the model studied here, and should stimulate further search for the alternative ways to control electron transport in advanced materials.

References in corpus (30)

• The electronic properties of graphene
• Topological Insulators
• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• 2D materials and van der Waals heterostructures
• Boron nitride substrates for high-quality graphene electronics
• Phosphorene: A New 2D Material with High Carrier Mobility
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Electronic transport in two dimensional graphene
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• The Valley Hall Effect in MoS2 Transistors
• Strain-induced gap modification in black phosphorus
• A self-consistent theory for graphene transport
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Observation of tunable bandgap and anisotropic Dirac semimetal state in black phosphorus
• Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus
• Phosphorene analogues: isoelectronic two-dimensional group-IV monochalcogenides with orthorhombic structure
• Large Unidirectional Magnetoresistance in a Magnetic Topological Insulator
• Stability of boron nitride bilayers: Ground state energies, interlayer distances, and tight-binding description
• Bilinear magneto-electric resistance as a probe of three-dimensional spin texture in topological surface states
• Landau levels of single layer and bilayer phosphorene
• Negative Magnetoresistance without Chiral Anomaly in Topological Insulators
• Gigantic negative magnetoresistance in a disordered topological insulator
• Anisotropic current-induced spin accumulation in the two-dimensional electron gas with spin-orbit coupling
• Anisotropic magnetoresistance of spin-orbit coupled carriers scattered from polarized magnetic impurities
• Electronic Structure and the Properties of Phosphorene Systems
• Thermoelectric transport in monolayer phosphorene
• Pseudospin in optical and transport properties of graphene
• Finite Conductivity Minimum in Bilayer Graphene without Charge Inhomogeneities

Cited by in corpus (4)

• Anisotropic magnetoresistance: materials, models and applications
• Broadband terahertz probes of anisotropic magnetoresistance disentangle extrinsic and intrinsic contributions
• Thermoelectric response of nodal-line semimetals: probe of the Fermi surface topology
• Magneto-thermoelectricty of anisotropic two-dimensional materials