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The variational method for Sturm-Liouville eigenvalue problem was employed to study analytically properties of the holographic superconductor with dark matter sector, in which a coupling between Maxwell field and another U(1)-gauge field…

High Energy Physics - Theory · Physics 2015-06-23 Lukasz Nakonieczny , Marek Rogatko

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

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

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 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

In this paper, we analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born-Infeld electrodynamics taking into account the backreaction of the spacetime using the Sturm-Liouville…

High Energy Physics - Theory · Physics 2016-04-20 Debabrata Ghorai , Sunandan Gangopadhyay

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

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 analytically as well as numerically study the properties of one-dimensional holographic p- wave superconductors in the presence of backreaction. We employ the Sturm-Liouville eigenvalue problem for the analytical calculation and the…

High Energy Physics - Theory · Physics 2019-11-01 Mahya Mohammadi , Ahmad Sheykhi , Mahdi Kord Zangeneh

We analytically as well as numerically study the effects of Born-Infeld nonlinear electrodynamics on the properties of $(1+1)$-dimensional s-wave holographic superconductors. We relax the probe limit and further assume the scalar and gauge…

High Energy Physics - Theory · Physics 2018-09-26 Mahya Mohammadi , Ahmad Sheykhi , Mahdi Kord Zangeneh

We take advantage of the Sturm-Liouville eigenvalue problem to analytically study the holographic insulator/superconductor phase transition in the probe limit. The interesting point is that this analytical method can not only estimate the…

High Energy Physics - Theory · Physics 2013-08-26 Huai-Fan Li

In this paper, we investigate the effects of nonlinear exponential electrodynamics as well as backreaction on the properties of one-dimensional $s$-wave holographic superconductors. We continue our study both analytically and numerically.…

High Energy Physics - Theory · Physics 2018-05-25 B. Binaei Ghotbabadi , M. Kord Zangeneh , A. Sheykhi

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 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 a non-minimal holographic superconductors model in both non-backreaction and fullbackreaction cases using an analytic method. We calculate the condensate of the dilaton and the critical temperature of the phase transition. We also…

High Energy Physics - Theory · Physics 2025-09-11 En-Jui Chang , Chia-Jui Chou , Yi Yang

We analytically study the properties of a $(2+1)$-dimensional $s$-wave holographic superconductor in the presence of exponential nonlinear electrodynamics. We consider the case in which the scalar and gauge fields back react on the…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Ahmad Sheykhi , Fatemeh Shaker

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

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 and numerically investigate the properties of s-wave holographic superconductors by considering the effects of scalar and gauge fields on the background geometry in five dimensional Einstein-Gauss-Bonnet gravity. We assume…

General Relativity and Quantum Cosmology · Physics 2017-03-21 Hamid Reza Salahi , Ahmad Sheykhi , Afshin Montakhab

In this work we study the analytical properties of a 2+1 dimensional magnetically charged holographic superconductor in $AdS_4$. We obtain the critical chemical potential $\mu_c$ analytically, using the Sturm-Liouville variational approach.…

General Physics · Physics 2012-11-20 M. R. Setare , D. Momeni , R. Myrzakulov , Muhammad Raza
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