Holographic calcualtion of the magneto-transport coefficients in Dirac semimetals

TL;DR

This paper uses holographic duality to compute thermoelectric and transport properties of strongly interacting Dirac semimetals under perpendicular magnetic fields, revealing how momentum relaxation affects conductivity.

Contribution

It introduces a holographic model with two interacting vector fields and axion-induced momentum relaxation to analyze magneto-transport in Dirac semimetals.

Findings

Calculated conductivity tensor with perpendicular electric and magnetic fields.

Demonstrated finite DC transport coefficients due to axion-induced momentum relaxation.

Provided new insights into thermoelectric behavior near particle-hole symmetry.

Abstract

Based on the gauge/gravity correspondence we have calculated the thermoelectric kinetic and transport characteristics of the strongly interacting materials in the presence of perpendicular magnetic field. The 3+1 dimensional system with Dirac-like spectrum is considered as a strongly interacting one if it is close to the particle-hole symmetry point. Transport in such system has been modeled by the two interacting vector fields. In the holographic theory the momentum relaxation is caused by axion field and leads to finite values of the direct current transport coefficients. We have calculated conductivity tensor in the presence of mutually perpendicular electric and magnetic fields and temperature gradient. The geometry differs from that in which magnetic field lies in the same plane as an electric one and temperature gradient.