DC conductivity with external magnetic field in hyperscaling violating geometry

TL;DR

This paper studies the dc electrical conductivity and Hall response of a (2+1)-dimensional holographic system with hyperscaling violation, magnetic field, and momentum relaxation, providing analytic formulas for these transport properties.

Contribution

It introduces a holographic model with hyperscaling violation, magnetic field, and axionic momentum relaxation, deriving explicit analytic expressions for conductivity and Hall angle.

Findings

Derived analytic formulas for dc conductivity and Hall angle.

Analyzed the effects of magnetic field and hyperscaling violation on transport.

Provided insights into thermoelectric responses in the model.

Abstract

We investigate the holographic dc conductivity of (2+1) dimensional systems while considering hyperscaling violating geometry in the bulk. We consider Einstein-Maxwell-Dilaton system with two gauge fields and Liouville type potential for dilaton. We also consider axionic fields in the bulk in order to introduce momentum relaxation in the system. We apply an external magnetic field to study the response of the system and obtain analytic expressions for dc conductivity, Hall angle and (thermo)electric conductivity.