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

## TL;DR

This paper confirms through a Kubo formula calculation that the conformal anomaly influences thermoelectric transport in Dirac and Weyl semimetals, revealing a plateau in the Seebeck coefficient at zero chemical potential, which aids experimental detection.

## Contribution

It provides a direct Kubo formula validation of the conformal anomaly's effect on thermoelectric coefficients in Dirac and Weyl semimetals, aligning with quantum field theory predictions.

## Key findings

- Confirmation of the conformal anomaly's contribution to thermoelectric transport.
- Identification of a plateau in the Seebeck coefficient near zero chemical potential.
- Potential for experimental observation of geometric anomaly effects.

## 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.