Magneto-thermoelectricty of anisotropic two-dimensional materials
arXiv:2407.15074 · doi:10.1103/PhysRevB.111.165423
Abstract
We use semiclassical Boltzmann transport theory to analytically study the electronic contribution to the linear thermoelectric response of anisotropic two-dimensional materials subjected to a perpendicular magnetic field. Conventional methods, such as the relaxation-time approximation within the Boltzmann formalism, often yield qualitatively incorrect results when applied to anisotropic mediums. On the other hand, the vector mean free path provides exact solutions for the linearized Boltzmann transport equation, and in principle, we can systematically evaluate it to any desired order in the external magnetic field. After laying out the general formalism of the magneto-thermoelectric responses of anisotropic systems based on the vector mean free path approach, we study the longitudinal and Hall charge conductivities, as well as the Seebeck and Nernst coefficients of two representative anisotropic two-dimensional electronic systems: a semi-Dirac semimetal and a two-dimensional system of tilted massless Dirac fermions.
arXiv comment10 pages, 3 figures, submitted
References in corpus (56)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Topological insulators and superconductors
- BoltzTraP. A code for calculating band-structure dependent quantities
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Weyl Semimetal in a Topological Insulator Multilayer
- Quantum Spin Hall Effect
- Dirac semimetal in three dimensions
- BoltzTraP2, a program for interpolating band structures and calculating semi-classical transport coefficients
- Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
- Electron-Electron Interactions in Graphene: Current Status and Perspectives
- Electronic properties and applications of MXenes: a theoretical review
- Dirac materials
- Classification of stable three-dimensional Dirac semimetals with nontrivial topology
- Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
- Colloquium: Spintronics in graphene and other two-dimensional materials
- Progress and prospects in magnetic topological materials
- Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
- BoltzWann: A code for the evaluation of thermoelectric and electronic transport properties with a maximally-localized Wannier functions basis
- Electronic Transport in Two-Dimensional Materials
- The thermopower and Nernst Effect in graphene in a magnetic field
- Topological Semimetals from first-principles
- A new magnetic field dependence of Landau levels on a graphene like structure
- Thermoelectric properties of Weyl and Dirac semimetals
- Tight-binding modeling and low-energy behavior of the semi-Dirac point
- Anomalous Nernst Effect in Dirac Semimetal Cd3As2
- Nernst effect in metals and superconductors: a review of concepts and experiments
- The Nernst effect and the boundaries of the Fermi liquid picture
- Theory of thermopower in 2D graphene
- Symmetry Demanded Topological Nodal-line Materials
- Chiral anomaly and optical absorption in Weyl semimetals
- Optical Signatures of Weyl Points in TaAs
- Large, nonsaturating thermopower in a quantizing magnetic field
- Anisotropic carrier mobility of distorted Dirac cones: theory and application
- Optical Conductivity of Weyl Semimetals and Signatures of the Gapped Semimetal Phase Transition
- Thermoelectric transport in double-Weyl semimetals
- Phenomenology of a semi-Dirac semi-Weyl semi-metal
- Semiclassical framework for the calculation of transport anisotropies
- Metal-insulator transition through a semi-Dirac point in oxide nanostructures: VO (001) layers confined within TiO
- Semi-Dirac Transport and Anisotropic Localization in Polariton Honeycomb Lattices
- Universal Thermoelectric Effect of Dirac Fermions in Graphene
- Diffusion of Dirac fermions across a topological merging transition in two dimensions
- Optical conductivity of three and two dimensional topological nodal line semimetals
- Thermopower in an anisotropic two-dimensional Weyl semimetal
- Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
- Thermoelectric response in nodal-point semimetals
- Electrically charged Andreev modes in two-dimensional tilted Dirac cone systems
- Vertex corrections to the dc conductivity in anisotropic multiband systems
- Nernst effect beyond the relaxation-time approximation
- Anisotropic conductivity in magnetic topological insulators
- Quantum electrodynamics in anisotropic and tilted Dirac photonic lattices
- Thermoelectric response of nodal-line semimetals: probe of the Fermi surface topology
- Semiclassical Boltzmann magnetotransport theory in anisotropic systems with a nonvanishing Berry curvature
- Hidden Anisotropy in the Drude Conductivity of Charge Carriers with Dirac-Schrödinger Dynamics
- Holographic Hydrodynamics of {\it Tilted} Dirac Materials