Magnetic Response in the Holographic Insulator/Superconductor Transition
Abstract
We study the magnetic response of holographic superconductors exhibiting an insulating "normal" phase. These materials can be realized as a CFT compactified on a circle, which is dual to the AdS Soliton geometry. We study the response under i) magnetic fields and ii) a Wilson line on the circle. Magnetic fields lead to formation of vortices and allows one to infer that the superconductor is of type II. The response to a Wilson line is in the form of Aharonov-Bohm-like effects. These are suppressed in the holographic conductor/superconductor transition but, instead, they are unsuppressed for the insulator case. Holography, thus, predicts that generically insulators display stronger Aharonov-Bohm effects than conductors. In the fluid-mechanical limit the AdS Soliton is interpreted as a supersolid. Our results imply that supersolids display unsuppressed Aharonov-Bohm (or "Sagnac") effects - stronger than in superfluids.
Keywords
Cite
@article{arxiv.1202.0006,
title = {Magnetic Response in the Holographic Insulator/Superconductor Transition},
author = {Marc Montull and Oriol Pujolàs and Alberto Salvio and Pedro J. Silva},
journal= {arXiv preprint arXiv:1202.0006},
year = {2015}
}
Comments
31 pages, 24 figures; discussion on vortex lattice, few comments and references added; article published in JHEP