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Based on the Sturm-Liouville eigenvalue problem, we develop a general analytic technique to investigate the excited states of the holographic superconductors. By including more higher order terms in the expansion of the trial function, we…

High Energy Physics - Theory · Physics 2020-10-22 Xiongying Qiao , Dong Wang , Liang OuYang , Mengjie Wang , Qiyuan Pan , Jiliang Jing

In this work, we have analytically investigated the insulator/superconductor phase transition in the presence of $d$-dimensional Gauss-Bonnet AdS soliton background. Using the Sturm-Liouville eigenvalue method, we have calculated the value…

High Energy Physics - Theory · Physics 2019-02-26 Diganto Parai , Sunandan Gangopadhyay , Debabrata Ghorai

We analytically study the phase transitions between s-wave holographic insulator/superconductor and metal/superconductor. The problem is solved by the variational method for the Sturm-Liouville eigenvalue problem in the theory with dark…

High Energy Physics - Theory · Physics 2016-01-26 Lukasz Nakonieczny , Marek Rogatko , Karol. I. Wysokinski

We investigate the holographic description of a superconductor constructed in the (2+1)-dimensional AdS soliton background in the probe limit. We study the holographic properties through both analytical and numerical methods. With…

High Energy Physics - Theory · Physics 2016-06-01 Yan Peng

We studied holographic insulator/superconductor phase transition in the framework of Born-Infeld electrodynamics both numerically and analytically. First we numerically study the effects of the Born-Infeld electrodynamics on the phase…

High Energy Physics - Theory · Physics 2012-12-24 Nan Bai , Yi-Hong Gao , Guan-Bu Qi , Xiao-Bao Xu

In this work, we have analytically analyzed the insulator/superconductor phase transition in the presence of a 5-dimensional $AdS$ soliton background using matching method and thermodynamic geometry approach. We have first employed the…

High Energy Physics - Theory · Physics 2022-02-02 Diganta Parai , Debabrata Ghorai , Sunandan Gangopadhyay

We analytically study the holographic superfluid phase transition in the AdS soliton background by using the variational method for the Sturm-Liouville eigenvalue problem. By investigating the holographic s-wave and p-wave superfluid models…

High Energy Physics - Theory · Physics 2016-04-08 Chuyu Lai , Qiyuan Pan , Jiliang Jing , Yongjiu Wang

We employ the variational method for the Sturm-Liouville eigenvalue problem to analytically study the phase transition between the holographic insulator and superconductor in the Gauss-Bonnet gravity. By investigating the s-wave and p-wave…

General Relativity and Quantum Cosmology · Physics 2011-11-22 Qiyuan Pan , Jiliang Jing , Bin Wang

The behaviors of the holographic superconductors/insulator transition are studied by introducing a charged scalar field coupled with a logarithmic electromagnetic field in both the Einstein-Gauss-Bonnet AdS black hole and soliton. For the…

High Energy Physics - Theory · Physics 2015-06-11 Jiliang Jing , Qiyuan Pan , Songbai Chen

We investigate holographic s-wave superconductors with nonlinear arcsin-electrodynamics in the background of Schwarzschild anti-de Sitter black holes. The analytical Sturm-Liouville eigenvalue problem is explored and we assume that the…

High Energy Physics - Theory · Physics 2018-08-21 S. I. Kruglov

We investigate the analytical properties of the s-wave and p-wave holographic insulator/superconductor phase transitions at zero temperature. In the probe limit, we analytically calculate the critical chemical potentials at which the…

High Energy Physics - Theory · Physics 2011-06-30 Rong-Gen Cai , Huai-Fan Li , Hai-Qing Zhang

We analytically investigate the phase transition between the holographic insulator and superconductor with Weyl corrections by using the variational method for the Sturm-Liouville eigenvalue problem. We find that similar to the curvature…

High Energy Physics - Theory · Physics 2013-03-19 Zixu Zhao , Qiyuan Pan , Jiliang Jing

Holographic model of a three-dimensional current carrying superconductor or superfluid with {\it dark matter} sector described by the additional $U(1)$-gauge field coupled to the ordinary Maxwell one, has been studied in the probe limit. We…

High Energy Physics - Theory · Physics 2016-11-08 Marek Rogatko , Karol I. Wysokinski

In this paper, we analytically study the holographic superconductor models with the high derivative (HD) coupling terms. Using the Sturm-Liouville (SL) eigenvalue method, we perturbatively calculate the critical temperature. The analytical…

High Energy Physics - Theory · Physics 2020-07-29 Chunyan Wang , Dan Zhang , Guoyang Fu , Jian-Pin Wu

We study the dynamics of the holographic $s$-wave superconductors described by the Einstein-Maxwell-complex scalar field theory with a negative cosmological constant. If the eigenfunction of the linearized equation of motion of the scalar…

High Energy Physics - Theory · Physics 2020-11-13 Ran Li , Jin Wang , Yong-Qiang Wang , Hongbao Zhang

We study striped phases in holographic insulator/superconductor transition by considering a spatially modulated chemical potential in AdS soliton background. Generally striped phases can develop above a critical chemical potential. When the…

High Energy Physics - Theory · Physics 2013-12-02 Johanna Erdmenger , Xian-Hui Ge , Da-Wei Pang

We study holographic superconductor model with two scalar fields coupled to one single Maxwell field in the AdS soliton background away from the probe limit. We disclose properties of phase transitions mostly from the holographic…

High Energy Physics - Theory · Physics 2017-03-14 Yan Peng , Guohua Liu

We construct a novel family of solutions of the holographic superfluid model with the excited states in the probe limit. We observe that the higher excited state or larger superfluid velocity will make the scalar hair more difficult to be…

High Energy Physics - Theory · Physics 2023-09-07 Dong Wang , Qiyuan Pan , Chuyu Lai , Jiliang Jing

We start from an Einstein $-$ Maxwell system coupled with a charged scalar field in Anti$-$de Sitter space$-$time. In the setup where the pressure $P$ is identified with the cosmological constant, the AdS black hole (BH) undergoes the phase…

High Energy Physics - Theory · Physics 2021-10-19 Tran Huu Phat , Toan T. Nguyen

Within the framework of AdS/CFT duality, excited states of the conformal field living at the global AdS boundary of a four-dimensional spacetime Einstein gravity are investigated analytically in the probe limit where the field equations are…

High Energy Physics - Theory · Physics 2022-06-03 Toan T. Nguyen , Tran Huu Phat
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