paper

Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor

arXiv:2302.02364 · doi:10.1007/JHEP03(2023)206

Abstract

The holographic superconductor is one of the most popular models in the context of applied holography. Despite what its name suggests, it does not describe a superconductor. On the contrary, the low temperature phase of its dual field theory is a superfluid with a spontaneously broken U(1) global symmetry. As already observed in the previous literature, a bona fide holographic superconductor can be constructed using mixed boundary conditions for the bulk gauge field. By exploiting this prescription, we study the near-equilibrium collective dynamics in the Higgs phase and reveal the characteristic features of the Anderson-Higgs mechanism. We show that second sound disappears from the spectrum and the gauge field acquires a finite energy gap of the order of the plasma frequency. We observe an overdamped to underdamped crossover for the Higgs mode which acquires a finite energy gap below , with the superconducting critical temperature. Interestingly, the energy gap of the Higgs mode at low temperature is significantly smaller than , with the superconducting energy gap. Finally, we interpret our results using Ginzburg-Landau theory and we confirm the validity of previously derived perturbative analytic expressions.

v1: 43 pages, 18 figures; v2: minor revision (a reference added, a figure added, comments added); v3: minor revision, matching the published version

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