Gauss-Bonnet Black Holes and Heavy Fermion Metals

Understand

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.