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The past few years have witnessed a remarkable crossover of string theoretical ideas from the abstract world of geometrical forms to the concrete experimental realm of condensed matter physics. The basis for this --- variously known as…

Strongly Correlated Electrons · Physics 2015-06-15 Andrew G. Green

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general $D \ge 5$ dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings…

High Energy Physics - Theory · Physics 2010-06-01 Alex Buchel , Jorge Escobedo , Robert C. Myers , Miguel F. Paulos , Aninda Sinha , Michael Smolkin

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 obtain a holographical description of a superconductor by using the d=2 case of the AdS_{d+1}/CFT_d correspondence. The gravity system is a (2+1)-dimensional AdS black hole coupled to a Maxwell field and charged scalar. The dual…

High Energy Physics - Theory · Physics 2010-11-18 Jie Ren

Holographic superconductors have been studied so far in the absence of dynamical electromagnetic fields, namely in the limit in which they coincide with holographic superfluids. It is possible, however, to introduce dynamical gauge fields…

High Energy Physics - Theory · Physics 2015-03-17 Oriol Domènech , Marc Montull , Alex Pomarol , Alberto Salvio , Pedro J. Silva

The gauge-gravity duality and analog gravity both relate a condensed matter system to a gravitational theory. This makes it possible to use gravity as an intermediary to establish a relation between two different condensed matter systems:…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Sabine Hossenfelder , Tobias Zingg

In this thesis we review some results on the generalization of the gauge/gravity duality to new cases by using T-duality and by including fundamental matter, finding applications to condensed matter physics. First, we construct new…

High Energy Physics - Theory · Physics 2017-12-07 Yago Bea

We obtain the thermodynamic geometry of a (2+1) dimensional strongly coupled quantum field theory at a finite temperature in a holographic set up, through the gauge/gravity correspondence. The bulk dual gravitational theory is described by…

High Energy Physics - Theory · Physics 2015-12-30 Sayan Basak , Pankaj Chaturvedi , Poulami Nandi , Gautam Sengupta

This is a review of some basic features on the relation between supergravity and pure gauge theories with special emphasis on the relation between T-duality and supersymmetry. Some new results concerning the interplay between T-duality and…

High Energy Physics - Theory · Physics 2007-05-23 Cesar Gomez , Pedro J. Silva

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 (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 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 construct holographic superconductors from Einstein-Maxwell-dilaton gravity in 3+1 dimensions with two adjustable couplings $\alpha$ and the charge $q$ carried by the scalar field. For the values of $\alpha$ and $q$ we consider, there is…

High Energy Physics - Theory · Physics 2014-11-21 Yan Liu , Ya-Wen Sun

After the discovery of the $s$-wave and $p$-wave holographic superconductors, holographic models of $d$-wave superconductor have also been constructed recently. We study analytically the perturbation of the dual gravity theory to calculate…

High Energy Physics - Theory · Physics 2011-02-02 Hua-Bi Zeng , Yu Jiang , Zhe-Yong Fan , Hong-Shi Zong

We study holographic superconductors in Einstein-Gauss-Bonnet gravity. We consider two particular backgrounds: a $d$-dimensional Gauss-Bonnet-AdS black hole and a Gauss-Bonnet-AdS soliton. We discuss in detail the effects that the mass of…

High Energy Physics - Theory · Physics 2010-05-19 Qiyuan Pan , Bin Wang , Eleftherios Papantonopoulos , Jeferson de Oliveira , A. B. Pavan

The dynamics of a two-dimensional superconductor under a constant electric field $E$ is studied by using the gauge/gravity correspondence. The pair breaking current induced by $E$ first increases to a peak value and then decreases to a…

High Energy Physics - Theory · Physics 2017-03-01 Hua-Bi Zeng , Yu Tian , Zheyong Fan , Chiang-Mei Chen

We study the conductivity of a strongly coupled striped superconductor using gauge/gravity duality (holography). The study is done analytically, in the large modulation regime. We show that the optical conductivity is inhomogeneous but…

High Energy Physics - Theory · Physics 2014-01-29 Jimmy A. Hutasoit , George Siopsis , Jason Therrien

We investigate the three-dimensional, time-reversal invariant topological superconductors with generic interaction by their response to external fields. The first description is a gravitational topological field theory, which gives a $Z_2$…

Strongly Correlated Electrons · Physics 2011-07-29 Zhong Wang , Xiao-Liang Qi , Shou-Cheng Zhang

According to the holographic principle, the description of a volume of space can be thought of as encoded on its boundary. Holographic principle establishes equivalence, or duality, between theoretical description of volume physics, which…

Optics · Physics 2015-06-18 Igor I. Smolyaninov

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