Strange Metallic Behaviour and the Thermodynamics of Charged Dilatonic Black Holes

TL;DR

This paper reviews holographic charged black holes with scalar hair, highlighting their phase structure, thermodynamic properties, and relevance to high-temperature superconductors, including their scaling relations and insulating behavior.

Contribution

It provides a comprehensive analysis of charged dilatonic black holes' thermodynamics and phase structure, connecting holographic models to experimental features of high-temperature superconductors.

Findings

Black holes exhibit critical behavior at zero temperature or charge.

They describe both conducting and insulating phases, including Mott-like insulators.

Black holes have no residual entropy and match observed scaling relations.

Abstract

We review a recent holographic analysis arXiv:1005.4690 of charged black holes with scalar hair in view of their applications to the cuprate high temperature superconductors. We show in particular that these black holes show an interesting phase structure including critical behaviour at zero temperature or charge, describe both conductors and insulators (including holographic Mott-like insulators), generically have no residual entropy and exhibit experimentally observed scaling relations between electronic entropy, specific heat and (linear) DC resistivity. Transport properties are discussed in the companion contribution to these proceedings.