Towards A Holographic Model of D-Wave Superconductors

Mar, 2010
14 pages
Published in:
  • Phys.Rev.D 81 (2010) 106008
e-Print:

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Abstract: (arXiv)
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.
Note:
  • 14 pages, 2 figures, Some typos corrected, Matched with the published version
  • 74.25.Dw
  • 11.25.Tq
  • 74.25.Gz
  • 11.10.Wx
  • field theory: tensor
  • gauge field theory: U(1)
  • symmetry breaking: U(1)
  • charge: U(1)
  • black hole: anti-de Sitter
  • superconductivity