Fingerprints of the conformal anomaly on the thermoelectric transport in Dirac and Weyl semimetals: Result from a Kubo formula - Archive ouverte HAL
Journal Articles Physical Review B Year : 2019

Fingerprints of the conformal anomaly on the thermoelectric transport in Dirac and Weyl semimetals: Result from a Kubo formula

Vicente Arjona
  • Function : Author
Maxim N. Chernodub
María A.H. Vozmediano
  • Function : Author

Abstract

In a recent work, a contribution to the Nernst current of a Dirac or Weyl semimetal coming from the conformal anomaly was reported. Being originated from an anomaly - a vacuum contribution -, a non-zero transport coefficient was predicted at zero temperature and chemical potential. In this work we perform a Kubo formula calculation of the thermoelectrical coefficient and confirm that the result agrees with the quantum field theory estimation in the limit of zero temperature and chemical potential. For finite chemical potential {\mu} around {\mu} = 0 the transverse Seebeck coefficient shows a plateau indicating that only the zero conformal Landau levels contributes to this intrinsic effect. This result opens the way to the experimental observation of a geometric anomaly which is much harder to explore than the standard chiral anomaly.
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Dates and versions

hal-02051266 , version 1 (09-11-2020)

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Vicente Arjona, Maxim N. Chernodub, María A.H. Vozmediano. Fingerprints of the conformal anomaly on the thermoelectric transport in Dirac and Weyl semimetals: Result from a Kubo formula. Physical Review B, 2019, 99, pp.235123. ⟨10.1103/PhysRevB.99.235123⟩. ⟨hal-02051266⟩
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