Abstract
We investigate the spectral function of fermions in a p-wave superconducting state, at finite both temperature and gravitational coupling, using the AdS/CF T correspondence and extending previous research. We found that, for any coupling below a critical value, the system behaves as its zero temperature limit. By increasing the coupling, the “peak-dip-hump” structure that characterizes the spectral function at fixed momenta disappears. In the region where the normal/superconductor phase transition is first order, the presence of a non-zero order parameter is reflected in the absence of rotational symmetry in the fermionic spectral function at the critical temperature.
Highlights
We investigate the spectral function of fermions in a p-wave superconducting state, at finite both temperature and gravitational coupling, using the Antide Sitter (AdS)/CF T correspondence and extending previous research
The fermionic spectral function is studied by making use of ARPES spectroscopy [2], uncovering a rich structure with the Fermi surface evolving into Fermi arcs as temperature and/or doping are varied and a gap opens in some directions of momentum space
The main difference with the laboratory systems is that, since holographic superconductors are described by means of the AdS/CFT correspondence, they require a large number of degrees of freedom at any spatial point, a condition referred as the “large N limit”
Summary
We establish our conventions and revisit the construction of solutions dual to holographic p-wave superconductors [6], to be extensively used in rest of the paper. We first concentrate in the bulk solution, and give the boundary interpretation
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