Holographic phase transitions from higgsed, non abelian charged black holes

Abstract

We find solutions of a gravity-Yang-Mills-Higgs theory in four dimensions that represent asymptotic anti-de Sitter charged black holes with partial/full gauge symmetry breaking. We then apply the AdS/CFT correspondence to study the strong coupling regime of a 2 + 1 quantum field theory at temperature T and finite chemical potential, which undergoes transitions to phases exhibiting the condensation of a composite charged vector operator below a critical temperature T c , presumably describing p + ip/p-wave superconductors. In the case of p + ip-wave superconductors the transitions are always of second order. But for p-wave superconductors we determine the existence of a critical value α c of the gravitational coupling (for fixed Higgs v.e.v. parameterm W ) beyond which the transitions become of first order. As a by-product, we show that the p-wave phase is energetically favored over the p + ip one, for any values of the parameters. We also find the ground state solutions corresponding to zero temperature. Such states are described by domain wall geometries that interpolate between AdS 4 spaces with different light velocities, and for a givenm W , they exist below a critical value of the coupling. The behavior of the order parameter as function of the gravitational coupling near the critical coupling suggests the presence of second order quantum phase transitions. We finally study the dependence of the solution on the Higgs coupling, and find the existence of a critical value beyond which no condensed solution is present.

Holographic entanglement entropy and complexity in Stückelberg superconductor

“…First order phase transition in holographic s-wave superconductor has also been observed in superfluidity model [16], N = 8 gauged supergravity model [17] and so on. Besides, in p-wave holographic superconductor models, some works for instance [18][19][20][21] showed the zero-order, first-order and second-order phase transition in their models, and discovered the retrograde condensation in certain parameter space.…”

Fermionic spectral functions in backreacting p-wave superconductors at finite temperature

“…According to (7), other than zero entropy they also have zero temperature. Such solutions were first studied in [15][31] and revisited more recently in [32]. We fix µ = 1 by using the last scaling symmetry in (5).…”

P-T phase diagram of a holographic s+p model from Gauss-Bonnet gravity

“…More work concerning the competition of multi order parameters can be found in refs. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35], and see ref. [36] for a recent review on holographic superconductor models.…”