Thermoelectric response in nodal-point semimetals

Abstract

In this review, the thermoelectric properties in nodal-point semimetals with two bands are discussed. For the two-dimensional (2D) cases, it is shown that the expressions of the thermoelectric coefficients take different values depending on the nature of the scattering mechanism responsible for transport, by considering examples of short-ranged disorder potential and screened charged impurities. An anisotropy in the energy dispersion spectrum invariably affects the thermopower quite significantly, as illustrated by the results for a node of semi-Dirac semimetal and a single valley of graphene. The scenario when a magnetic field of magnitude $B$ is applied perpendicular to the plane of the 2D semimetal is also considered. The computations for three-dimensional (3D) cases necessarily involve the inclusion of nontrivial Berry phase effects. In addition to demonstrating the expressions for the response tensors, the exotic behaviour observed in planar Hall and planar thermal Hall set-ups is also discussed.

typos corrected; includes the results reported in arXiv:1811.04952 and arXiv:2310.02318

References in corpus (106)

• Berry Phase Effects on Electronic Properties
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Dielectric function, screening, and plasmons in 2D graphene
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Carrier transport in 2D graphene layers
• Observation of the chiral magnetic effect in ZrTe5
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Berry phase effect in anomalous thermoelectric transport
• Berry phase correction to electron density of states in solids
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Charge Transport in Weyl Semimetals
• Anomalous thermoelectric transport of Dirac particles in graphene
• Anomalous Hall Effect in Weyl Metals
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Merging of Dirac points in a two-dimensional crystal
• Chiral anomaly as origin of planar Hall effect in Weyl semimetals
• Generating quantizing pseudomagnetic fields by bending graphene ribbons
• Chiral gauge field and axial anomaly in a Weyl semi-metal
• Strain-induced pseudo-magnetic field for novel graphene electronics
• The thermopower and Nernst Effect in graphene in a magnetic field
• Half-metallic semiDirac point generated by quantum confinement in TiO${}_2$/VO${}_2$ nanostructures
• Non-Fermi liquid and topological states with strong spin-orbit coupling
• A new magnetic field dependence of Landau levels on a graphene like structure
• Quantum oscillations, thermoelectric coefficients and the Fermi surface of semi-metallic WTe2
• Giant Planar Hall Effect in Topological Metals
• Thermoelectric Response of an Interacting Two-Dimensional Electron Gas in Quantizing Magnetic Field
• Zero modes of tight binding electrons on the honeycomb lattice
• Thermoelectric properties of Weyl and Dirac semimetals
• Tight-binding modeling and low-energy behavior of the semi-Dirac point
• Energy Magnetization and Thermal Hall Effect
• A universal Hamiltonian for the motion and the merging of Dirac cones in a two-dimensional crystal
• Anomaly related transport of Weyl fermions for Weyl semi-metals
• Anomalous Nernst Effect in Dirac Semimetal Cd3As2
• Theory of thermopower in 2D graphene
• Quantum transport of disordered Weyl semimetals at the nodal point
• Nernst and magneto-thermal conductivity in a lattice model of Weyl fermions
• Quantum transport in Dirac materials: signatures of tilted and anisotropic Dirac and Weyl cones
• Room-temperature chiral charge pumping in Dirac semimetals
• Berry phase correction to electron density in solids and "exotic" dynamics
• Interacting Weyl fermions: Phases, phase transitions and global phase diagram
• Large, nonsaturating thermopower in a quantizing magnetic field
• Quantum transport in three-dimensional Weyl electron system
• Linear magneto-chiral transport in tilted type-I and type-II Weyl Semimetals
• Giant Planar Hall Effect in the Dirac Semimetal ZrTe5
• Chiral anomaly and longitudinal magnetotransport in type-II Weyl semimetals
• Negative Magnetoresistance in Weyl semimetals NbAs and NbP: Intrinsic Chiral Anomaly and Extrinsic Effects
• Anomalous Nernst and Thermal Hall Effects in Tilted Weyl Semimetals
• Linear magnetoconductivity in an intrinsic topological Weyl semimetal
• Interactions remove the quantization of the chiral photocurrent at Weyl points
• Thermoelectric Transport of Massive Dirac Fermions in Bilayer Graphene
• Thermoelectric transport in double-Weyl semimetals
• Theory of dissipationless Nernst effects
• Berry phase theory of planar Hall effect in Topological Insulators
• Disorder-driven destruction of a non-Fermi liquid semimetal via renormalization group
• Magnetic textures and dynamics in magnetic Weyl semimetals
• Rotational strain in Weyl semimetals: A continuum approach
• Metal-insulator transition through a semi-Dirac point in oxide nanostructures: VO${}_2$ (001) layers confined within TiO${}_2$
• Nernst effect in Dirac and inversion-asymmetric Weyl semimetals
• Magnus Hall Effect
• A Nernst current from the conformal anomaly in Dirac and Weyl semimetals
• Emergence of Dirac Electron Pair in Charge Ordered State of Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Interplay of Coulomb interactions and disorder in three dimensional quadratic band crossings without time-reversal symmetry and with unequal masses for conduction and valence bands
• Semiclassical Boltzmann transport theory for multi-Weyl semimetals
• Magnetothermoelectric properties of Bi2Se3
• Universal Thermoelectric Effect of Dirac Fermions in Graphene
• Diffusion of Dirac fermions across a topological merging transition in two dimensions
• Thermopower in an anisotropic two-dimensional Weyl semimetal
• Magnus Nernst and thermal Hall effect
• Chirality-dependent planar Hall effect in inhomogeneous Weyl semimetals
• Fate of superconductivity in three-dimensional disordered Luttinger semimetals
• Berry-phase effects in dipole density and Mott relation
• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• Magneto-optical conductivity in generic Weyl semimetals
• Magneto-transport phenomena of type-I multi-Weyl semimetals in co-planar setups
• Tilted disordered Weyl semimetals
• The semiclassical theory of anomalous transport in type-II topological Weyl semimetals
• Nonlinear magnetoconductivity in Weyl and multi-Weyl semimetal in quantizing magnetic field
• Effect of interactions on the quantization of the chiral photocurrent for double-Weyl semimetals
• Thermal and gravitational chiral anomaly induced magneto-transport in Weyl semimetals
• Planar Thermal Hall Effect in Weyl Semimetals
• Magneto-optical conductivity in the type-I and type-II phases of Weyl/multi-Weyl semimetals
• Magnus Hall effect in three-dimensional topological semimetals
• Robust Marginal Fermi Liquid In Birefringent Semimetals
• Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals
• Unified bulk semiclassical theory for intrinsic thermal transport and magnetization currents
• Thermoelectric and thermal properties of the weakly disordered non-Fermi liquid phase of Luttinger semimetals
• Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals
• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Microscopic theory of magnetoconductivity at low magnetic fields in terms of Berry curvature and orbital magnetic moment
• Signatures of two- and three-dimensional semimetals from circular dichroism
• Impurity scattering in Weyl Semimetals and their stability classification
• Longitudinal magnetoconductance and the planar Hall conductance in inhomogeneous Weyl semimetals
• Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals
• Robust quantum transport at particle-hole symmetry
• Search for plasmons in isotropic Luttinger semimetals
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Thermal plasmon resonantly enhances electron scattering in Dirac/Weyl semimetals
• Gravitational anomaly in the ferrimagnetic topological Weyl semimetal NdAlSi
• Berry curvature induced anisotropic magnetotransport in a quadratic triple-component fermionic system
• Anatomy of plasmons in generic Luttinger semimetals
• Semiclassical Boltzmann magnetotransport theory in anisotropic systems with a nonvanishing Berry curvature

Cited by in corpus (13)

• Anisotropic effects in two-dimensional materials
• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Chiral anomaly and internode scatterings in multifold semimetals
• Linear response of tilted anisotropic two-dimensional Dirac cones
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
• Magneto-thermoelectricty of anisotropic two-dimensional materials
• Distinguishing features of longitudinal magnetoconductivity for a Rarita-Schwinger-Weyl node