Phase transitions in a holographic s+d model from the 4D Einstein-Gauss-Bonnet gravity

Ting-Rui Liao; Xin Zhao; Hui Zeng; Zhang-Yu Nie

doi:10.1088/1572-9494/adbff3

paper

Phase transitions in a holographic s+d model from the 4D Einstein-Gauss-Bonnet gravity

arXiv:2503.10223 · doi:10.1088/1572-9494/adbff3

Abstract

In this work, the phase structure of a holographic s+d model with quartic potential terms from the 4D Einstein-Gauss-Bonnet gravity is studied in the probe limit. We first show the $q_{d} - μ$ phase diagram with a very small value of the Gauss-Bonnet coefficient $α = 1 \times 1 0^{- 7}$ and in absence of the quartic terms to locate the suitable choice of the value of $q_{d}$ , where the system admits coexistent s+d solutions. Then we consider various values of the Gauss-Bonnet coefficient $α$ and present the $α - μ$ phase diagram to show the influence of the Gauss-Bonnet term on the phase structure. We also give an example of the reentrant phase transition which is also realized in the holographic s+s and s+p models. After that we confirm the universality of the influence of the quartic term with coefficient $λ_{d}$ on the d-wave solutions, which is similar to the case of s-wave and p-wave solutions previously studied in the s+p model. Finally we give the dependence of the special values of the quartic term coefficient $λ_{d}$ on the Gauss-Bonnet coefficient $α$ , below which the d-wave condensate grows to an opposite direction at the (quasi-)critical point, which is useful in realizing 1st order phase transitions in further studies of the holographic d-wave superfluids.

7 pages, 9 figures

Phase transitions in a holographic s+d model from the 4D Einstein-Gauss-Bonnet gravity

Abstract

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