Abstract
We study the p-wave holographic superconductor for AdS black holes with planar event horizon topology for a particular Lovelock gravity, in which the action is characterized by a self-interacting scalar field nonminimally coupled to the gravity theory which is labeled by an integer k. As the Lovelock theory of gravity is the most general metric theory of gravity based on the fundamental assumptions of general relativity, it is a desirable theory to describe the higher dimensional spacetime geometry. The present work is devoted to studying the properties of the p-wave holographic superconductor by including a Maxwell field which nonminimally couples to a complex vector field in a higher dimensional background metric. In the probe limit, we find that the critical temperature decreases with the increase of the index k of the background black hole metric, which shows that a larger k makes it harder for the condensation to form. We also observe that the index k affects the conductivity and the gap frequency of the holographic superconductors.
Highlights
The mechanism behind high-temperature superconductor is one of the unsolved mysteries, which inspires long-standing interest in theoretical physics
As an s-wave superconductor is related to the instability and subsequent condensation of a charged scalar field, the p-wave and d-wave superconductors might be achieved by the condensations of a charged vector field and a spin-two field in bulk, respectively
What merits our primary concern is that the black hole metric is derived from a self-interacting scalar field nonminimally coupled to a particular Lovelock gravity [62]
Summary
The mechanism behind high-temperature superconductor is one of the unsolved mysteries, which inspires long-standing interest in theoretical physics. As superconductor transition is a second order phase transition, critical exponents are interesting especially because they are observables closely connected with measurements, while for the most part, independent of specific details of the physical system Such approach might improve our understanding of the underlying physics, in particular, provide explicit examples of theories without the picture of Fermi liquid. According to the results of the renormalization group, the critical exponents of a realistic physical system are usually beyond those of the mean-field theory and belong to one of the universality classes In this context, since the inclusion of the higher curvature contributions corresponds to high order corrections on the field theory, it might provide more meaningful physical content in terms of critical components.
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