Superconductivity, Superfluidity and Holography

Abstract

This is a concise review of holographic superconductors and superfluids. We highlight some predictions of the holographic models and the emphasis is given to physical aspects rather than to the technical details, although some references to understand the latter are systematically provided. We include gapped systems in the discussion, motivated by the physics of high-temperature superconductivity. In order to do so we consider a compactified extra dimension (with radius R), or, alternatively, a dilatonic field. The first setup can also be used to model cylindrical superconductors; when these are probed by an axial magnetic field a universal property of holography emerges: while for large R (compared to the other scales in the problem) non-local operators are suppressed, leading to the so called Little-Parks periodicity, the opposite limit shows non-local effects, e.g. the uplifting of the Little-Parks periodicity. This difference corresponds in the gravity side to a Hawking-Page phase transition.

10 pages, partly based on a talk given at DICE2012 (Spacetime - Matter - Quantum Mechanics from the Planck scale to emergent phenomena) and on a seminar given at the Gran Sasso National Laboratory; v2 references added

References in corpus (9)

• Building an AdS/CFT superconductor
• Lectures on Holographic Superfluidity and Superconductivity
• Holographic model of superfluidity
• Complete Phase Diagrams for a Holographic Superconductor/Insulator System
• Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections
• AdS/CFT superconductors with Power Maxwell electrodynamics: reminiscent of the Meissner effect
• Inhomogeneous Structures in Holographic Superfluids: II. Vortices
• Surprising Connections Between General Relativity and Condensed Matter
• Fermi-like Liquid From Einstein-DBI-Dilaton System

Cited by in corpus (8)

• Black holes in $\omega$-defomed gauged $N=8$ supergravity
• Holography and magnetohydrodynamics with dynamical gauge fields
• Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor
• Statical Structures of the BCS-like Holographic Superfluid in AdS4 Spacetime
• Collective modes of polarizable holographic media in magnetic fields
• Holographic Superconducting Quantum Interference Device
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• Black and gray solitons in holographic superfluids at zero temperature