Analytic calculation of properties of holographic superconductors

By George Siopsis, Jason Therrien. 2010

175 citations recorded by the source corpus.

We calculate analytically properties of holographic superconductors in the probe limit. We analyze the range 1/2 < Δ < 3, where Δ is the dimension of the operator that condenses. We obtain the critical temperature in terms of a solution to a certain eigenvalue problem. Near the critical temperature, we apply perturbation theory to determine the temperature dependence of the condensate. In the low temperature limit we show that the condensate diverges as T−Δ/3 for Δ < 3/2 whereas it asymptotes to a constant value for which we provide analytic estimates for Δ > 3/2. We also obtain the frequency dependence of the conductivity by solving analytically the wave equation of electromagnetic perturbations. We show that the real part of the DC conductivity behaves as e−Δg/T and estimate the gap Δg analytically. Our results are in good agreement with numerical results.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cc8acd96149a7f215ef95c94d74bb7f63424c5bb

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In Atomic and Molecular Physics, and Optics

  1. Xian-Hui Ge
  2. Guo-Hong Yang
  3. Shao-Feng Wu
  4. Bin Wang

In Geometry and Topology

  1. Xian-Hui Ge
  2. Guo-Hong Yang
  3. Shao-Feng Wu
  4. Bin Wang

In Nuclear and High Energy Physics

  1. Xian-Hui Ge
  2. Guo-Hong Yang
  3. Shao-Feng Wu
  4. Bin Wang
  5. M. Setare
  6. Xin Zhang
  7. Ahmad Sheykhi

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