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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

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 construct a class of quantum critical points with non-mean-field critical exponents via holography. Our approach is phenomenological. Beginning with the D3/D5 system at nonzero density and magnetic field which has a chiral phase…

High Energy Physics - Theory · Physics 2010-12-09 Nick Evans , Kristan Jensen , Keun-Young Kim

We study general models of holographic superconductivity parametrized by four arbitrary functions of a neutral scalar field of the bulk theory. The models can accommodate several features of real superconductors, like arbitrary critical…

High Energy Physics - Theory · Physics 2015-03-13 Francesco Aprile , Sebastian Franco , Diego Rodriguez-Gomez , Jorge G. Russo

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 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

Using a simple analytic approach, we study the universal properties of second-order phase transition in holographic superconductor models. We explore a general model in arbitrary dimensions in which the condensation occurs via the…

High Energy Physics - Theory · Physics 2011-11-03 Chiang-Mei Chen , Ming-Fan Wu

We review black holes with second-order phase transition in string theory (R-charged black holes and holographic superconductors) and review their static and dynamic critical phenomena. Holographic superconductors have conventional…

High Energy Physics - Theory · Physics 2011-03-10 Makoto Natsuume

We study "holographic superconductors" in various spacetime dimensions. We compute most of the static critical exponents in the linear perturbations and show that they take the standard mean-field values. We also consider the dynamic…

High Energy Physics - Theory · Physics 2015-03-13 Kengo Maeda , Makoto Natsuume , Takashi Okamura

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 study the critical exponents in the universal scaling laws of a holographic non-equilibrium steady state nearby its critical point of phase transition, which is driven by an AC electric field sitting in the boundary of the bulk. The…

High Energy Physics - Theory · Physics 2018-12-05 Hua-Bi Zeng , Hai-Qing Zhang

Holographic superfluids/superconductors are one of the most studied systems in the AdS/CFT duality. In the low-energy, in the long-wavelength limit, they should be described by a Ginzburg-Landau theory. For critical dynamics, one expects…

High Energy Physics - Theory · Physics 2026-05-21 Makoto Natsuume

We study the critical exponents of the superconducting phase transition in the context of renormalization group theory starting from a dual formulation of the Ginzburg-Landau theory. The dual formulation describes a loop gas of Abrikosov…

Condensed Matter · Physics 2016-08-31 Michael Kiometzis , Hagen Kleinert , Adriaan M. J. Schakel

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

The mean-field theory tells that the classical critical exponent of susceptibility is the twice of that of magnetization. However, the linear response theory based on the Vlasov equation, which is naturally introduced by the mean-field…

Statistical Mechanics · Physics 2014-04-02 Shun Ogawa , Aurelio Patelli , Yoshiyuki Y. Yamaguchi

We study various physical quantities associated with holographic s-wave superconductors as functions of the scaling dimensions of the dual condensates. A bulk scalar field with negative mass squared $m^2$, satisfying the…

High Energy Physics - Theory · Physics 2009-09-25 Obinna C. Umeh

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 perform calculations to obtain the $H_{c2}$ curve of high temperature superconductors (HTSC). We consider explicitly the fact that the HTSC possess intrinsic inhomogeneities by taking into account a non uniform charge density $\rho(r)$.…

Superconductivity · Physics 2009-11-10 E. S. Caixeiro , J. L. González , E. V. L. de Mello

We construct an analytic solution for a one-parameter family of holographic superconductors in asymptotically Lifshitz spacetimes. We utilize this solution to explore various properties of the systems such as (1) the superfluid phase…

High Energy Physics - Theory · Physics 2018-03-28 Makoto Natsuume , Takashi Okamura

We study the d-wave holographic superconductors (the d-wave model proposed in [arXiv:1003.2991[hep-th]]) immersed in constant external magnetic fields by using the analytic matching method and numerical computation. In the probe limit, we…

High Energy Physics - Theory · Physics 2012-11-07 Xian-Hui Ge , Shao Fei Tu , Bin Wang
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