Phase transitions in a holographic s+d model from the 4D Einstein-Gauss-Bonnet gravity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915211056775168 |
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| author | Liao, Ting-Rui Zhao, Xin Zeng, Hui Nie, Zhang-Yu |
| author_facet | Liao, Ting-Rui Zhao, Xin Zeng, Hui Nie, Zhang-Yu |
| contents | 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 $α=1\times10^{-7}$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_10223 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase transitions in a holographic s+d model from the 4D Einstein-Gauss-Bonnet gravity Liao, Ting-Rui Zhao, Xin Zeng, Hui Nie, Zhang-Yu High Energy Physics - Theory 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 $α=1\times10^{-7}$ 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. |
| title | Phase transitions in a holographic s+d model from the 4D Einstein-Gauss-Bonnet gravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.10223 |