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We study holographic superconductivity by expanding the equations in the inverse of the number of spacetime dimensions D. We obtain an analytic expression for the critical temperature as a function of the conformal dimension of the…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Kentaro Tanabe

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 present the new method to calculate the critical temperature as a function of $\Delta$, conformal dimension of the cooper operator. We find that, in the regime $1/2\leq \Delta <1$ where the AC conductivity does not show a gap, the…

High Energy Physics - Theory · Physics 2022-05-18 Yoon-Seok Choun , Wenhe Cai , Sang-Jin Sin

We investigate the analytical properties of the s-wave and p-wave holographic insulator/superconductor phase transitions at zero temperature. In the probe limit, we analytically calculate the critical chemical potentials at which the…

High Energy Physics - Theory · Physics 2011-06-30 Rong-Gen Cai , Huai-Fan Li , Hai-Qing Zhang

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 study the complexity of holographic superconductors (Einstein-Maxwell-complex scalar actions in $d+1$ dimension) by the `complexity = volume' (CV) conjecture. First, it seems that there is a universal property: the superconducting phase…

High Energy Physics - Theory · Physics 2024-07-01 Run-Qiu Yang , Hyun-Sik Jeong , Chao Niu , Keun-Young Kim

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 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

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

We extend earlier treatments of holographic superconductors by studying cases where operators of different dimension condense in both 2+1 and 3+1 superconductors. We also compute a correlation length. We find surprising regularities in…

High Energy Physics - Theory · Physics 2009-01-01 Gary T. Horowitz , Matthew M. Roberts

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 construct a $6$ derivative holographic superconductor model in the $4$-dimensional bulk spacetimes, in which the normal state describes a quantum critical (QC) phase. The phase diagram $(\gamma_1,\hat{T}_c)$ and the condensation as the…

High Energy Physics - Theory · Physics 2017-10-24 Jian-Pin Wu , Peng Liu

We show that a simple gravitational theory can provide a holographically dual description of a superconductor. There is a critical temperature, below which a charged condensate forms via a second order phase transition and the (DC)…

High Energy Physics - Theory · Physics 2008-11-26 Sean A. Hartnoll , Christopher P. Herzog , Gary T. Horowitz

We study (3+1)-dimensional holographic superconductors in Einstein-Gauss-Bonnet gravity both numerically and analytically. It is found that higher curvature corrections make condensation harder. We give an analytic proof of this result, and…

High Energy Physics - Theory · Physics 2014-11-20 Ruth Gregory , Sugumi Kanno , Jiro Soda

We study inhomogeneous solutions of a 3+1-dimensional Einstein-Maxwell-scalar theory. Our results provide a holographic model of superconductivity in the presence of a charge density wave sourced by a modulated chemical potential. We find…

High Energy Physics - Theory · Physics 2011-03-22 Raphael Flauger , Enrico Pajer , Stefanos Papanikolaou

We study the (3+1) dimensional p-wave holographic superconductors with Weyl corrections both numerically and analytically. We describe numerically the behavior of critical temperature $T_{c}$ with respect to charge density $\rho$ in a…

High Energy Physics - Theory · Physics 2012-06-12 D. Momeni , N. Majd , R. Myrzakulov

The DC thermoelectric conductivities of holographic systems in which translational symmetry is broken can be efficiently computed in terms of the near-horizon data of the dual black hole. By calculating the frequency dependent…

High Energy Physics - Theory · Physics 2015-09-24 Richard A. Davison , Blaise Goutéraux

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

The full description of a superconductor requires that it has an infinite DC conductivity (or zero electrical resistivity) as well as expels the external magnetic fields. Thus, for any holographic superconductor which is dual to a real…

High Energy Physics - Theory · Physics 2020-01-22 Doa Hashemi Asl , Ahmad Sheykhi

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
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