# Thermoelectric relations in the conformal limit in Dirac and Weyl semimetals

## TL;DR

This paper explores the unique thermoelectric relations in Dirac and Weyl semimetals at the conformal limit, revealing singular behaviors caused by quantum anomalies and establishing a Mott relation away from this limit.

## Contribution

It demonstrates the singular thermoelectric behavior of Dirac and Weyl semimetals at the conformal limit and derives a Mott relation for conditions away from this point.

## Key findings

- Singular thermoelectric behavior at the conformal limit due to quantum anomaly.
- Establishment of a Mott relation away from the conformal limit.
- Insights into transport properties of Dirac and Weyl semimetals.

## Abstract

In the Fermi liquid description of metals, electrical and thermoelectric transport coefficients are linked by robust relations which can be challenged by strong interactions or when the electron liquid enters a different regime. These relations have been very powerful in the characterisation of novel materials. We show that Dirac and Weyl semimetals at zero doping and zero temperature (the conformal limit) have a very singular behavior due to a quantum anomaly. Away from this point, a Mott relation can be established.