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arXiv · 1003.2991

Towards A Holographic Model of D-Wave Superconductors

Jiunn-Wei Chen·Ying-Jer Kao·Debaprasad Maity·Wen-Yu Wen·Chen-Pin Yeh
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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+1 dimensional gravitational theory consists a symmetric, traceless second-rank tensor field and a U(1) gauge field in the background of the AdS black hole. Below T_c the tensor field which carries the U(1) charge undergoes the Higgs mechanism and breaks the U(1) symmetry of the boundary theory spontaneously. The phase transition characterized by the D-wave condensate is second order with the mean field critical exponent beta = 1/2. As expected, the AC conductivity is isotropic below T_c and the system becomes superconducting in the DC limit but has no hard gap.

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Jiunn-Wei Chen, Ying-Jer Kao, Debaprasad Maity, Wen-Yu Wen, Chen-Pin Yeh. 2010-05-19. Towards A Holographic Model of D-Wave Superconductors. https://doi.org/10.1103/physrevd.81.106008

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