Conductivities for Hyperscaling Violating Geometries

TL;DR

This paper demonstrates that holographic conductivities in hyperscaling violating geometries can be understood through simple dual field theory scaling laws, revealing additional scaling parameters affecting electromagnetic responses.

Contribution

It introduces an extra scaling parameter Phi in the analysis of holographic conductivities, enhancing the understanding of temperature-dependent transport in strange metals.

Findings

Scaling laws reproduce holographic conductivity results

Additional parameter Phi influences electromagnetic response

Temperature dependence of conductivity matches strange metal behavior

Abstract

We show that many results about holographic conductivities in geometries with hyperscaling violating scaling can be reproduced from simple scaling laws in the dual field theory. We show that the electro-magnetic response of probe branes in these systems require at least one additional scaling parameter Phi beyond the usual dynamical exponent z and hyperscaling violating exponent theta, as also pointed out in earlier work. We show that the scaling exponents can be chosen in such a way that the temperature dependence of DC conductivity and Hall angle in strange metals can be reproduced.