Gauss-Bonnet Black Holes and Heavy Fermion Metals

TL;DR

This paper explores charged Gauss-Bonnet black holes with Lifshitz boundary conditions, demonstrating their potential to model non-Fermi-liquid behavior in condensed matter systems through holographic duality.

Contribution

It introduces a novel holographic model using Einstein-Gauss-Bonnet gravity to replicate non-Fermi-liquid properties observed in condensed matter physics.

Findings

Reproduces anomalous specific heat in non-Fermi-liquid systems

Shows sensitivity of Sommerfeld ratio to Gauss-Bonnet coupling

Proposes duality with models by Castro-Neto et al.

Abstract

We consider charged black holes in Einstein-Gauss-Bonnet Gravity with Lifshitz boundary conditions. We find that this class of models can reproduce the anomalous specific heat of condensed matter systems exhibiting non-Fermi-liquid behaviour at low temperatures. We find that the temperature dependence of the Sommerfeld ratio is sensitive to the choice of Gauss-Bonnet coupling parameter for a given value of the Lifshitz scaling parameter. We propose that this class of models is dual to a class of models of non-Fermi-liquid systems proposed by Castro-Neto et.al.