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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

Using Sturm-Liouville (SL) eigenvalue problem, we investigate several properties of holographic s-wave superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics in the probe limit. Our analytic scheme has been found to be in…

High Energy Physics - Theory · Physics 2015-06-04 Sunandan Gangopadhyay , Dibakar Roychowdhury

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 analytically sutdy the effect of external magnetic field in a Holographic superconductor by using Sturm-Liouville method. We estimate the coefficient of proportionality at critical temperature and find its denpendence on external…

High Energy Physics - Theory · Physics 2013-03-29 D. Momeni , Eiji Nakano , M. R. Setare , Wen-Yu Wen

We provide an analytical as well as a numerical study of the holographic $s$-wave superconductors in Gauss-Bonnet gravity with Power-Maxwell electrodynamics. We limit our study to the case where scalar and gauge fields do not have an effect…

General Relativity and Quantum Cosmology · Physics 2016-04-26 Ahmad Sheykhi , Hamid Reza Salahi , Afshin Montakhab

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

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

Using a noncommutative inspired anti-de Sitter-Einstein-Born-Infeld black hole with both non-commutative mass and charge distributions, we analyse a holographic superconductor in the context of the AdS/CFT correspondence. We show that the…

High Energy Physics - Theory · Physics 2020-03-11 Marco Maceda , Sergio Patiño-López

In this paper, we analytically investigate the properties of p-wave holographic superconductors in $AdS_{4}$-Schwarzschild background by two approaches, one based on the Sturm-Liouville eigenvalue problem and the other based on the matching…

High Energy Physics - Theory · Physics 2015-06-05 Sunandan Gangopadhyay , Dibakar Roychowdhury

We obtain (2+1) dimensional p-wave holographic superconductors from charged Born-Infeld black holes in the presence of massive charged vector fields in a bulk $AdS_4$ Einstein-Born-Infeld theory through the $AdS_4$-$CFT_3$ correspondence.…

High Energy Physics - Theory · Physics 2015-09-25 Pankaj Chaturvedi , Gautam Sengupta

In this paper we have investigated, in the probe limit, $s$-wave holographic superconductors in rotating $AdS_{3+1}$ spacetime using the matching method as well as the St{\"u}rm-Liouville eigenvalue approach. We have calculated the critical…

High Energy Physics - Theory · Physics 2019-04-19 Ankur Srivastav , Sunandan Gangopadhyay

In this paper, we investigate holographic superconductors dual to asymptotically anti-de Sitter black holes in an Einstein-Maxwell-scalar model with a non-minimal coupling between the scalar and Maxwell fields. In the probe limit, it shows…

High Energy Physics - Theory · Physics 2021-11-24 Yiqian Chen , Xiaobo Guo , Peng Wang

In this paper, we analytically investigate the effect of adding an external magnetic field in presence of Born-Infeld corrections to a holographic superconductor in the probe limit. The technique employed is based on the matching of the…

High Energy Physics - Theory · Physics 2014-05-28 Sunandan Gangopadhyay

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 low-energy limits of the string theory lead to the higher-order curvature corrections for Einstein gravity. Also, they give the higher-order derivative corrections for the Maxwell or linear electrodynamics, which suggests the nonlinear…

High Energy Physics - Theory · Physics 2019-09-09 Cao H. Nam

We analytically as well as numerically disclose the effects of the higher order correction terms in the gravity and in the gauge field on the properties of $s$-wave holographic superconductors. On the gravity side, we consider the higher…

High Energy Physics - Theory · Physics 2018-02-27 Ahmad Sheykhi , Afsoon Ghazanfari , Amin Dehyadegari

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 study generalized holographic s-wave superconductors in four dimensional R-charged black hole and Lifshitz black hole backgrounds, in the probe limit. We first establish the superconducting nature of the boundary theories, and then study…

High Energy Physics - Theory · Physics 2015-06-16 Subhash Mahapatra , Prabwal Phukon , Tapobrata Sarkar

A holographic model of a quantum critical theory at a finite but low temperature, and finite density is studied. The model exhibits non-relativistic z=2 Schr\"odinger symmetry and is realized by the Anti-de-Sitter-Schwarzschild black hole…

Strongly Correlated Electrons · Physics 2012-05-08 Bom Soo Kim , Elias Kiritsis , Christos Panagopoulos

In this paper, we have analytically computed the conductivity of holographic superconductors in the framework of Born-Infeld electrodynamics taking into account the backreaction of the matter fields on the bulk spacetime metric. The effect…

High Energy Physics - Theory · Physics 2018-06-12 Debabrata Ghorai , Sunandan Gangopadhyay