Competing s-wave orders from Einstein–Gauss–Bonnet gravity

Abstract

In this paper, the holographic superconductor model with two s-wave orders from 4+1 dimensional Einstein-Gauss-Bonnet gravity is explored in the probe limit. At different values of the Gauss-Bonnet coefficient α, we study the influence of tuning the mass and charge parameters of the bulk scalar field on the free energy curve of condensed solution with signal s-wave order, and compare the difference of tuning the two different parameters while the changes of the critical temperature are the same. Based on the above results, it is indicated that the two free energy curves of different s-wave orders can have one or two intersection points, where two typical phase transition behaviors of the s+s coexistent phase, including the reentrant phase transition near the Chern-Simons limit α = 0.25, can be found. We also give an explanation to the nontrivial behavior of the T c − α curves near the Chern-Simons limit, which might be heuristic to understand the origin of the reentrant behavior near the Chern-Simons limit.

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

“…All the studies mentioned above concerning the holographic dual models with the curvature correction are based on the Einstein-Gauss-Bonnet gravity in dimensions D ≥ 5, where we find that the higher curvature corrections make it harder for the scalar [14,[16][17][18][19][20][21][22][23][24][25][26][27][28][29] or vector [30][31][32][33][34][35][36] hair to form. As pointed out by Gregory et al in [14], one can expect this tendency to be the same even in (2 + 1)-dimensions, however, it remains obscure to what extent this suppression affects the physics of holographic superconductors in (2 + 1)dimensions.…”

“…Other generalized investigations based on the effects of the curvature correction on the holographic dual models can be found, for example, in refs. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

Uniform quenching processes in a holographic s + p model with reentrance

“…While in Ref. [25], the reentrant phase transition is realized in a region with the value of Gauss-Bonnet parameter beyond the causality constraint. To study the dynamical processes of the reentrant phase transition in a more convenient setup, in this paper, we first realize the reentrant phase transition in the s + p model in probe limit.…”

“…As shown in Ref. [25], when we tune one of two parameters m 2 s and q s with other one fixed, the free energy curve of the single condensate s-wave solution will be changed "parallel". The similar law holds for the p-wave solution when we tuning the parameter m 2 p or q p .…”

“…In holographic models with multiple orders, interesting phenomenon such as reentrance can be realized [17,25]. In such a system, one of the order parameter show nonmonotonic behavior and only be non-zero in a middle region.…”