2010
DOI: 10.1103/physrevd.81.106008
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Towards a holographic model ofD-wave superconductors

Abstract: The holographic model for S-wave high T c superconductors developed by Hartnoll, Herzog, and Horowitz is generalized to describe D-wave superconductors. The 3 þ 1 dimensional gravitational theory consists of a symmetric, traceless second-rank tensor field and a Uð1Þ gauge field in the background of the anti-de Sitter black hole. Below T c the tensor field, which carries the Uð1Þ charge, undergoes the Higgs mechanism and breaks the Uð1Þ symmetry of the boundary theory spontaneously. The phase transition charact… Show more

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Cited by 121 publications
(146 citation statements)
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References 70 publications
(71 reference statements)
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“…When the temperature is below a critical one, the scalar obtains a nontrivial bulk configuration, which means that the dual operator acquires a non-vanishing vacuum expectation value (VEV) breaking the U(1) symmetry spontaneously. This s-wave model was soon generalised to p-wave models [38][39][40][41] as well as d-wave models [42,43]. Reviews can be found in [29,[44][45][46].…”
Section: Gravity Dual Of Broken Phasesmentioning
confidence: 99%
“…When the temperature is below a critical one, the scalar obtains a nontrivial bulk configuration, which means that the dual operator acquires a non-vanishing vacuum expectation value (VEV) breaking the U(1) symmetry spontaneously. This s-wave model was soon generalised to p-wave models [38][39][40][41] as well as d-wave models [42,43]. Reviews can be found in [29,[44][45][46].…”
Section: Gravity Dual Of Broken Phasesmentioning
confidence: 99%
“…Due to the potential applications to the condensed matter physics, the condensation in the AdS black hole background has been investigated extensively, see for example [4]- [24].…”
Section: Introductionmentioning
confidence: 99%
“…The order parameter for a nematic phase is a traceless symmetric second-rank tensor. Indeed, one way for holographically constructing such a phase would be similar to the holographic setups studied in [40][41][42] for d-wave superconductivity, except that the order parameter here is neutral. Thus, one introduces a massive neutral traceless symmetric rank-two tensor field in the bulk.…”
Section: Discussionmentioning
confidence: 99%