Thermoelectric properties of Weyl and Dirac semimetals

Abstract

We study the electronic contribution to the thermal conductivity and the thermopower of Weyl and Dirac semimetals using a semiclassical Boltzmann approach. We investigate the effect of various relaxation processes including disorder and interactions on the thermoelectric properties, and also consider doping away from the Weyl or Dirac point. We find that the thermal conductivity and thermopower have an interesting dependence on the chemical potential that is characteristic of the linear electronic dispersion, and that the electron-electron interactions modify the Lorenz number. For the interacting system, we also use the Kubo formalism to obtain the transport coefficients. We find exact agreement between the Kubo and Boltzmann approaches at high temperatures. We also consider the effect of electric and magnetic fields on the thermal conductivity in various orientations with respect to the temperature gradient. Notably, when the temperature gradient and magnetic field are parallel, we find a large contribution to the longitudinal thermal conductivity that is quadratic in the magnetic field strength, similar to the magnetic field dependence of the longitudinal electrical conductivity due to the presence of the chiral anomaly when no thermal gradient is present.

17 pages, 2 Figures

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• 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
• Longitudinal magnetoconductance and the planar Hall effect in a lattice model of tilted Weyl fermions
• Floquet transmission in Weyl/multi-Weyl and nodal-line semimetals through a time-periodic potential well
• Second order chiral kinetic theory under gravity and antiparallel charge-energy flow
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• Revisiting magnetotransport in Weyl semimetals
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• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
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• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
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• Tunneling phase diagrams in anisotropic Multi-Weyl semimetals
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• Emergence of Spinon Fermi Arcs in the Weyl-Mott Metal-Insulator Transition
• Distinct quasiparticle interference patterns for surface impurity scattering on various Weyl semimetals
• Topological linear magnetoresistivity and thermoconductivity induced by noncentrosymmetric Berry curvature
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• Low Temperature Thermoelectric Properties of Co- and Cr- doped CuAgSe
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• Anomalous transport in Kane fermions
• Thermo-magneto-electric transport through a torsion dislocation in a type I Weyl Semimetal
• Design Principles for Topological Thermoelectrics
• Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals
• Thermal response of the Nieh-Yan term