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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

We study holographic superconductors in 3+1 dimensions away from the probe limit, i.e. taking back-reaction of the space-time into account. We consider the case of pure Einstein- and Gauss-Bonnet gravity, respectively. Similar to the probe…

High Energy Physics - Theory · Physics 2014-11-20 Yves Brihaye , Betti Hartmann

Analytical investigation of the properties of $s$-wave holographic superconductors in the background of a massive gravity theory in the probe limit has been carried out employing the Sturm-Liouville eigenvalue method . We obtain the…

High Energy Physics - Theory · Physics 2023-05-03 Diganta Parai , Suchetana Pal , Sunandan Gangopadhyay

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

Based on the Sturm-Liouville (SL) eigenvalue problem, we analytically study several properties of holographic $s$-wave superconductors with exponential nonlinear electrodynamics in the background of Schwarzschild anti-de Sitter (AdS) black…

High Energy Physics - Theory · Physics 2017-04-05 A. Sheykhi , F. Shaker

We investigate analytically as well as numerically the properties of s-wave holographic superconductors in $d$-dimensional spacetime and in the presence of Logarithmic nonlinear electrodynamics. We study three aspects of these kind of…

High Energy Physics - Theory · Physics 2018-04-17 Ahmad Sheykhi , Doa Hashemi Asl , Amin Dehyadegari

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 study holographic superconductors in five dimensional Einstein-Gauss-Bonnet gravity both numerically and analytically. We find the critical temperature of the superconductor decreases as backreaction is increased, although the effect of…

High Energy Physics - Theory · Physics 2010-12-14 Luke Barclay , Ruth Gregory , Sugumi Kanno , Paul Sutcliffe

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 construct the holographic superconductors away from the probe limit in the consistent $D\rightarrow4$ Einstein-Gauss-Bonnet gravity. We observe that, both for the ground state and excited states, the critical temperature first decreases…

High Energy Physics - Theory · Physics 2021-11-08 Jie Pan , Xiongying Qiao , Dong Wang , Qiyuan Pan , Zhang-Yu Nie , Jiliang Jing

In this article we employ the matching method to analytically investigate the properties of holographic superconductors in the framework of Maxwell electrodynamics taking into account the effects of back reaction on spacetime. The…

High Energy Physics - Theory · Physics 2020-02-04 Suchetana Pal , Saumya Ghosh , Sunandan Gangopadhyay

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

We investigate analytically as well as numerically effects of nonlinear Born-Infeld (BI) electrodynamics on the properties of (1+1)-dimensional holographic $p$-wave superconductor in the context of gauge/gravity duality. We consider the…

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

We calculate analytically properties of holographic superconductors in the probe limit. We analyze the range $1/2 < \Delta < 3$, where $\Delta$ is the dimension of the operator that condenses. We obtain the critical temperature in terms of…

High Energy Physics - Theory · Physics 2015-05-18 George Siopsis , Jason Therrien

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

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 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

The Sturm-Liouville eigenvalue method is employed to analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born-Infeld electrodynamics incorporating the effects of noncommutative…

High Energy Physics - Theory · Physics 2016-05-12 Debabrata Ghorai , Sunandan Gangopadhyay

We investigate the effect of spacetime backreaction on the upper critical magnetic field for s-wave holographic superconductors by using the matching method. The backreaction of the constant external magnetic field and the electric field to…

High Energy Physics - Theory · Physics 2015-03-19 Xian-Hui Ge , Hong-Qiang Leng

We build a holographic description of non-relativistic system for superconductivity in strongly interacting condensed matter via gauge/gravity duality. We focus on the phase transition and give an example to show that a simple gravitational…

High Energy Physics - Theory · Physics 2009-11-03 Shi Pu , Sang-Jin Sin , Yang Zhou