Thermoelectric properties of Weyl and Dirac semimetals

By Rex Lundgren, P. Laurell, G. Fiete. 2014

178 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/558162ecd57fc40fa254c84cd06747680b70fb74

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

  1. Ashvin Vishwanath
  2. N. P. Armitage
  3. E. Mele
  4. Yupeng Li
  5. Xiaojun Yang
  6. Zhen Wang
  7. Yi Zhou
  8. Yi Zheng

In Materials Chemistry

  1. Ashvin Vishwanath
  2. N. P. Armitage
  3. Zhi-xun Shen
  4. E. Mele
  5. Xiao-Liang Qi
  6. Masatoshi Sato
  7. J. Moore
  8. Bogdan Andrei Bernevig

Citations in the corpus