Transport properties of DBI action

TL;DR

This paper calculates the temperature dependence of key transport coefficients in a strange metal-like system using a holographic model with dynamical exponent z=4, both with and without magnetic fields.

Contribution

It provides a precise holographic computation of transport properties in strange metals, highlighting the role of the dynamical exponent z=4 in reproducing observed behaviors.

Findings

Transport coefficients follow specific temperature dependencies matching strange metal behavior

Model reproduces experimental transport properties in the presence of magnetic fields

Highlights the importance of dynamical exponent z=4 in holographic models

Abstract

We obtain precise temperature dependence of three transport coefficients that resembles strange metal: (a) longitudinal electrical conductivity (b) longitudinal thermoelectric conductivity (c) longitudinal thermal conductivity in the absence of magnetic field. This is achieved through one parameter, namely, when the dynamical exponent, $z=4$. Moreover, in the presence of magnetic field, we have cooked up a model where it exhibits the desired temperature dependence of the four transport quantities that resembles strange metal.