Towards A Holographic Model of D-Wave Superconductors

By Jiunn-Wei Chen, Y. Kao, D. Maity, W. Wen, Chen-Pin Yeh. 2010

151 citations recorded by the source corpus.

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 of a symmetric, traceless second-rank tensor field and a $U(1)$ gauge field in the background of the anti-de Sitter 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 $\ensuremath{\beta}=1/2$. As expected, the AC conductivity is isotropic below ${T}_{c}$, and the system becomes superconducting in the DC limit but has no hard gap.

View Paper: https://www.semanticscholar.org/paper/d5a9926662f898acc1c8e9a42c7e0f4a1ffff0aa

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Citations in the corpus

Holographic Quantum Matter (2016, background): “A d-wave condensate is described by a charged, spin two field in the bulk [131].”
Analytic holographic superconductor (2010, background): “[31] appeared with a discussion of d-wave holographic superconductors for a different choice of action.”
Introduction to holographic superconductor models (2015, methodology): “Holographic d-wave model was constructed by introducing a charged massive spin two field propagating in the bulk [14, 15].”
Gauge gravity duality for d-wave superconductors: prospects and challenges (2010, background): “To date, most of the holographic examples have had either s-wave or p-wave order parameters (three exceptions are [7, 8, 9]).”