Order parameter fluctuations in the holographic superconductor

Abstract

We investigate the effect of order parameter fluctuations in the holographic superconductor. In particular, using a fully backreacted bulk geometry, the intrinsic spectral functions of the order parameter in both the normal and the superconducting phase are computed. We also present a vector-like large-$N$ version of the Ginzburg-Landau model that accurately describes our long-wavelength results in both phases. The large-$N$ limit of the latter model explains why the Higgs mode and the second-sound mode are not present in the spectral functions. Our results indicate that the holographic superconductor describes a relativistic multi-component superfluid in the universal regime of the BEC-BCS crossover.

21 pages, 15 figures; version accepted for publication

References in corpus (11)

• Building an AdS/CFT superconductor
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Holographic model of superfluidity
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
• An Analytic Holographic Superconductor
• Hydrodynamics of Holographic Superconductors
• Renormalization Group Theory for the Imbalanced Fermi Gas
• Characteristic length of an AdS/CFT superconductor
• A Note on Holographic Non-Relativistic Goldstone Bosons

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• Dynamical stability from quasi normal modes in 2nd, 1st and 0th order holographic superfluid phase transitions
• Thermodynamic Properties of Holographic superfluids
• Massive Dirac fermions from holography