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It has been shown that a gravitational dual to a superconductor can be obtained by coupling anti-de Sitter gravity to a Maxwell field and charged scalar. We review our earlier analysis of this theory and extend it in two directions. First,…

High Energy Physics - Theory · Physics 2011-03-02 Sean A. Hartnoll , Christopher P. Herzog , Gary T. Horowitz

In this paper, based on the usual techniques of Gauge/gravity duality, we derive the Ginzburg-Landau current for $ s $- wave superconductors in the presence of higher derivative corrections to the abelian gauge sector in the bulk. It has…

High Energy Physics - Theory · Physics 2015-06-25 Dibakar Roychowdhury

In this paper we propose a generalised holographic framework to describe superconductors. We first unify the description of s-, p- and d-wave superconductors in a way that can be easily promoted to higher spin. Using a semi-analytical…

High Energy Physics - Theory · Physics 2022-07-12 Andrea Donini , Victor Enguita-Vileta , Fabian Esser , Veronica Sanz

The holographic superconductor is the holographic dual of superconductors. We recently identified the dual Ginzburg-Landau (GL) theory for a class of bulk 5-dimensional holographic superconductors (arXiv:2207.07182 [hep-th]). However, the…

High Energy Physics - Theory · Physics 2026-03-09 Makoto Natsuume

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

The holographic superconductor is the holographic dual of superconductivity, but there is no Meissner effect in the standard holographic superconductor. This is because the boundary Maxwell field is added as an external source and is not…

High Energy Physics - Theory · Physics 2022-09-26 Makoto Natsuume , Takashi Okamura

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

We investigate the emergence of a time-crystalline phase in a single-band holographic superconductor, extending the AdS/CFT framework. By incorporating a nonlinear gauge-scalar coupling and external driving, we derive coupled equations of…

High Energy Physics - Theory · Physics 2026-04-07 Chi-Hsien Tai , Wen-Yu Wen

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 investigate the single normal impurity effect in a superconductor by the holographic method. When the size of impurity is much smaller than the host superconductor, we can reproduce the Anderson theorem, which states that a conventional…

High Energy Physics - Theory · Physics 2015-12-09 Hua Bi Zeng , Hai-Qing Zhang

We introduce and study generalized holographic superconductors with higher derivative couplings between the field strength tensor and a complex scalar field, in four dimensional AdS black hole backgrounds. We study this theory in the probe…

High Energy Physics - Theory · Physics 2015-06-19 Anshuman Dey , Subhash Mahapatra , Tapobrata Sarkar

We explore the behaviors of the holographic superconductors at zero temperature for a charged scalar field coupled to a Maxwell field in higher-dimensional AdS soliton spacetime via analytical way. In the probe limit, we obtain the critical…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Chong Oh Lee

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 construct a holographic model with Weyl corrections in five dimensional spacetime. In particular, we introduce a coupling term between the axion fields and the Maxwell field such that the momentum is relaxed even in the probe limit in…

High Energy Physics - Theory · Physics 2017-02-16 Yi Ling , Xiangrong Zheng

We examine the behavior of a one-dimensional superconducting wire exposed to an applied electric current. We use the time-dependent Ginzburg-Landau model to describe the system and retain temperature and applied current as parameters.…

Superconductivity · Physics 2009-11-13 J. rubinstein , P. Sternberg , Q. Ma

A deconstructed holographic model for an $s$-wave superconductor in $2+1$ dimensions has been proposed in the literature. Here, we consider solutions in the presence of perpendicular magnetic fields, where vortex formed. We calculate the…

High Energy Physics - Theory · Physics 2018-06-07 Zainul Abidin , Herry J. Kwee , Jong Anly Tan

We analytically study the holographic superfluid phase transition in the AdS soliton background by using the variational method for the Sturm-Liouville eigenvalue problem. By investigating the holographic s-wave and p-wave superfluid models…

High Energy Physics - Theory · Physics 2016-04-08 Chuyu Lai , Qiyuan Pan , Jiliang Jing , Yongjiu Wang

We study the properties of the p-wave holographic superconductor for the scalar hairy black holes in the probe limit. The black hole solutions in question possess planar topology, which are derived from the Einstein gravity theory minimally…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Dan Wen , Hongwei Yu , Qiyuan Pan , Kai Lin , Wei-Liang Qian

We investigate the holographic description of a superconductor constructed in the (2+1)-dimensional AdS soliton background in the probe limit. We study the holographic properties through both analytical and numerical methods. With…

High Energy Physics - Theory · Physics 2016-06-01 Yan Peng

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