Magnetothermoelectric DC conductivities from holography models with hyperscaling factor in Lifshitz spacetime

TL;DR

This paper models magnetothermoelectric conductivities using holography in Lifshitz spacetime with hyperscaling, revealing temperature-dependent behaviors relevant to strange metals.

Contribution

It introduces a holographic Einstein-Maxwell-Dilaton-Axion model with hyperscaling and magnetic field, deriving novel black hole solutions and conductivity behaviors.

Findings

Achieves linear temperature resistivity.

Obtains quadratic inverse Hall angle temperature dependence.

Discusses anomalous Nernst and Seebeck scaling.

Abstract

We investigate an Einstein-Maxwell-Dilaton-Axion holographic model and obtain two branches of a charged black hole solution with a dynamic exponent and a hyperscaling violation factor when a magnetic field presents. The magnetothermoelectric DC conductivities are then calculated in terms of horizon data by means of holographic principle. We find that linear temperature dependence resistivity and quadratic temperature dependence inverse Hall angle can be achieved in our model. The well-known anomalous temperature scaling of the Nernst signal and the Seebeck coefficient of cuprate strange metals are also discussed.