English

Towards A Holographic Model of D-Wave Superconductors

High Energy Physics - Theory 2015-03-13 v5 Superconductivity General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.1003.2991,
  title  = {Towards A Holographic Model of D-Wave Superconductors},
  author = {Jiunn-Wei Chen and Ying-Jer Kao and Debaprasad Maity and Wen-Yu Wen and Chen-Pin Yeh},
  journal= {arXiv preprint arXiv:1003.2991},
  year   = {2015}
}

Comments

14 pages, 2 figures, Some typos corrected, Matched with the published version