Linear Resistivity from Non-Abelian Black Holes

TL;DR

This paper demonstrates how non-abelian black holes in holography can produce finite, linearly temperature-dependent resistivity without breaking translational symmetry, resembling high-temperature superconductor behavior.

Contribution

It introduces a method to achieve finite DC conductivity in holographic models via non-abelian gauge transformations, avoiding the need for lattice or impurities.

Findings

Finite DC resistivity with linear temperature dependence achieved

Translational symmetry remains unbroken in the model

Results suggest strong interactions are key to this behavior

Abstract

Starting with the holographic p-wave superconductor, we show how to obtain a finite DC conductivity through a non-abelian gauge transformation. The translational symmetry is preserved. We obtain phenomenological similarities with high temperature cuprate superconductors. Our results suggest that a lattice or impurities are not essential to produce a finite DC resistivity with a linear temperature dependence. An analogous field theory calculation for free fermions, presented in the appendix, indicates our results may be a special feature of strong interactions.