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arxiv: 1202.0006 · v2 · pith:HLS4PAP6new · submitted 2012-01-31 · ✦ hep-th · cond-mat.mes-hall· cond-mat.quant-gas· cond-mat.supr-con· gr-qc

Magnetic Response in the Holographic Insulator/Superconductor Transition

Marc Montull , Oriol Pujol\`as , Alberto Salvio , Pedro J. Silva This is my paper
classification ✦ hep-th cond-mat.mes-hallcond-mat.quant-gascond-mat.supr-congr-qc
keywords magneticresponseeffectsholographicsuperconductoraharonov-bohmcircledisplay
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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.

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