Entropy balance in holographic superconductors

Abstract

In systems undergoing second order phase transitions, the temperature integral of the specific heat over temperature from zero to the critical temperature is the same in both the normal and ordered phases. This entropy balance relates the critical temperature to the distribution of degrees of freedom in the normal and ordered states. Quantum criticality and fractionalization can imply an increased number of low energy degrees of freedom in both the normal and ordered states. We explore the role of entropy balance in holographic models of superconductivity, focussing on the interplay between quantum criticality and superconductivity. We consider models with and without a ground state entropy density in the normal phase; the latter models are a new class of holographic superconductors. We explain how a normal phase entropy density manifests itself in the stable superconducting phase.

1+24 pages. 5 figures

References in corpus (8)

• Building an AdS/CFT superconductor
• Effective Holographic Theories for low-temperature condensed matter systems
• Quantum Criticality
• Holographic superconductivity in M-Theory
• Colorful horizons with charge in anti-de Sitter space
• Complete Phase Diagrams for a Holographic Superconductor/Insulator System
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• Destruction of Neel order in the cuprates by electron-doping

Cited by in corpus (9)

• Planckian Dissipation in Metals
• Quantum critical lines in holographic phases with (un)broken symmetry
• Striped phases from holography
• Lifshitz Scaling Effects on Holographic Superconductors
• Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor Model
• Universal linear in temperature resistivity from black hole superradiance
• A Holographic Model of Two-Band Superconductor
• Holographic superconductors with hyperscaling violation
• Lifshitz scaling effects on holographic paramagnetism/ferromagneism phase transition