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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• Breakdown of the Chiral Anomaly in Weyl Semimetals in a Strong Magnetic Field
• Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations
• Kondo effect and non-Fermi liquid behavior in Dirac and Weyl semimetals
• Hear the Sound of Weyl Fermions
• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• Thermopower and thermal conductivity in the Weyl semimetal NbP
• The semiclassical theory of anomalous transport in type-II topological Weyl semimetals
• Thermal and gravitational chiral anomaly induced magneto-transport in Weyl semimetals
• Anomalous Nernst effect in type-II Weyl semimetals
• Fingerprints of the conformal anomaly on the thermoelectric transport in Dirac and Weyl semimetals: Result from a Kubo formula
• Thermal conductance by Dirac fermions in a normal-insulator-superconductor junction of silicene
• Elastic and transport properties of topological semimetal ZrTe
• Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field
• Thermoelectric transport coefficients of a Dirac electron gas in high magnetic fields
• Magnetovortical and thermoelectric transport in tilted Weyl metals
• Optical response in Weyl semimetal in model with gapped Dirac phase
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