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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

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

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 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

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 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 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

We construct a family of solutions of the holographic insulator/superconductor phase transitions with the excited states in the AdS soliton background by using both the numerical and analytical methods. The interesting point is that the…

High Energy Physics - Theory · Physics 2021-02-16 Liang OuYang , Dong Wang , Xiongying Qiao , Mengjie Wang , Qiyuan Pan , Jiliang Jing

Holographic s-wave superconductors in the framework of nonlinear Born - Infeld-type electrodynamics is investigated in the background of Schwarzschild anti-de Sitter black holes. As particular cases, at some model parameters, we obtain…

High Energy Physics - Theory · Physics 2019-05-22 S. I. Kruglov

We employ the variational method for the Sturm-Liouville eigenvalue problem to analytically investigate the properties of the holographic superconductors. We find that the analytic method is still powerful when the backreaction is turned…

High Energy Physics - Theory · Physics 2012-06-25 Qiyuan Pan , Jiliang Jing , Bin Wang , Songbai Chen

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

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

In this paper, based on the Sturm-Liouville eigenvalue approach, we analytically investigate the properties of holographic superconductors in the background of pure Einstein and Gauss-Bonnet gravity taking into account the backreaction of…

High Energy Physics - Theory · Physics 2013-07-19 Sunandan Gangopadhyay

We use the variational method for the Sturm-Liouville eigenvalue problem to analytically calculate some properties of holographic superconductors with Gauss-Bonnet gravity in probe limit. By studying the holographic p-wave and s-wave…

High Energy Physics - Theory · Physics 2011-04-14 Huai-Fan Li , Rong-Gen Cai , Hai-Qing Zhang

Based on the Sturm-Liouville eigenvalue problem, Banerjee \emph{et al.} proposed a perturbative approach to analytically investigate the properties of the ($2+1$)-dimensional superconductor with Born-Infeld electrodynamics [Phys. Rev. D…

High Energy Physics - Theory · Physics 2015-08-25 Chuyu Lai , Qiyuan Pan , Jiliang Jing , Yongjiu Wang

We generalize the analytical investigation on the properties of $s$-wave holographic superconductors in the presence of Born-Infeld nonlinear electrodynamics by taking the backreaction into account. We find that in the presence of nonlinear…

High Energy Physics - Theory · Physics 2016-02-03 A. Sheykhi , F. Shaker

This paper presents a new approach to the two-interval Sturm-Liouville eigenfunction expansions, based essentially on the method of integral equations. We consider the Sturm-Liouville problem together with two supplementary transmission…

Classical Analysis and ODEs · Mathematics 2013-12-12 K. Aydemir , O. Sh. Mukhtarov

We have developed the recent investigations on the second-order phase transition in the holographic superconductor using the probe limit for a nonlinear Maxwell field strength coupled to a massless scalar field. By analytic methods, based…

General Physics · Physics 2013-06-17 Davood Momeni , Muhammad Raza , Ratbay Myrzakulov

The holographic model for a two-dimensional superconductor has been investigated by considering the three-dimensional gravity in the bulk. To find the critical temperature, we used the Sturm-Liouville variational method. Where as the same…

General Physics · Physics 2013-07-09 Davood Momeni , Muhammad Raza , Mohammad Reza Setare , Ratbay Myrzakulov

We investigate the properties of the backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor in the background of a d-dimensional AdS black hole. Imposing the Dirichlet boundary condition of the…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Dong Wang , Manman Sun , Qiyuan Pan , Jiliang Jing
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