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We consider a four-dimensional N=2 gauged supergravity coupled to matter fields. The model is obtained by a U(1) gauging of a charged hypermultiplet and therefore it is suitable for the study of holographic superconductivity. The potential…

High Energy Physics - Theory · Physics 2015-06-05 Francesco Aprile

The problem of nonlinear transport in a two dimensional superconductor with an applied oscillating electric field is solved by the holographic method. The complex conductivity can be computed from the dynamics of the current for both near-…

High Energy Physics - Theory · Physics 2016-06-22 Hua Bi Zeng , Yu Tian , Zhe Yong Fan , Chiang-Mei Chen

Thus far, the literature regarding holographic complexity almost entirely focuses on the context of $(d+1)$-dimensional anti-de Sitter spacetime rather than the full higher-dimensional gauge/gravity duality in string or M theory. We provide…

High Energy Physics - Theory · Physics 2025-02-12 Andrew R. Frey

In this paper we study (3+1) dimensional holographic superconductors in quasi-topological gravity which is recently proposed by R. Myers {\it et.al.}. Through both analytical and numerical analysis, we find in general the condensation…

High Energy Physics - Theory · Physics 2011-01-05 Xiao-Mei Kuang , Wei-Jia Li , Yi Ling

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

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 discuss the gravitational dual of a holographic superconductor consisting of a U(1) gauge field, a complex scalar field coupled to a charged AdS black hole and a higher-derivative coupling between the U(1) gauge field and the scalar with…

High Energy Physics - Theory · Physics 2013-11-13 Xiao-Mei Kuang , Eleftherios Papantonopoulos , George Siopsis , Bin Wang

We investigate the holographic $p$-wave superconductors in the presence of the higher order corrections on the gravity as well as on the gauge field side. On the gravity side, we add the Gauss-Bonnet curvature correction terms, while on the…

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

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 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

The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory with a boundary by employing different proposals for the dual…

High Energy Physics - Theory · Physics 2021-04-15 Paolo Braccia , Aldo L. Cotrone , Erik Tonni

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

We investigate a holographic superconductor that admits an analytic treatment near the phase transition. In the dual 3+1 dimensional field theory, the phase transition occurs when a scalar operator of scaling dimension two gets a vacuum…

High Energy Physics - Theory · Physics 2011-01-18 Christopher P. Herzog

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

The holographic complexity has been studied in a background which includes a critical point in the dual field theory. We have examined how the complexity rate and the saturation time of dynamical variables in the theory behave as one moves…

High Energy Physics - Theory · Physics 2019-10-02 H. Ebrahim , M. Asadi , M. Ali-Akbari

We present the results of our studies of the entanglement entropy of a superconducting system described holographically as a fully back-reacted gravity system, with a stable ground state. We use the holographic prescription for the…

High Energy Physics - Theory · Physics 2012-06-04 Tameem Albash , Clifford V. Johnson

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 use gauge gravity duality to describe the strange metal phase of High $T_c$ superconductors.

High Energy Physics - Theory · Physics 2023-12-18 Tobias Canavesi

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 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