Black Hole Thermodynamics and Heavy Fermion Metals

TL;DR

This paper explores the connection between black hole thermodynamics and the anomalous specific heat behavior observed in heavy fermion metals, using gravitational dual models with anisotropic scaling.

Contribution

It introduces a gravitational dual model with anisotropic scaling to explain the non-Fermi-liquid behavior in heavy fermion alloys.

Findings

Heavy fermion alloys show non-Fermi-liquid behavior at low temperatures.

Gravitational dual models with z > 1 reproduce anomalous specific heat.

The model provides insights into quantum criticality in condensed matter systems.

Abstract

Heavy fermion alloys at critical doping typically exhibit non-Fermi-liquid behavior at low temperatures, including a logarithmic or power law rise in the ratio of specific heat to temperature as the temperature is lowered. Anomalous specific heat of this type is also observed in a simple class of gravitational dual models that exhibit anisotropic scaling with dynamical critical exponent z > 1.