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These lectures give an introduction to the theory of holographic superconductors. These are superconductors that have a dual gravitational description using gauge/gravity duality. After introducing a suitable gravitational theory, we…

High Energy Physics - Theory · Physics 2015-05-18 Gary T. Horowitz

We provide a description of phase transitions at finite temperature in strongly coupled field theories using holography. For this purpose, we introduce a general class of gravity duals to superconducting theories that exhibit various types…

High Energy Physics - Theory · Physics 2010-04-06 Sebastian Franco , Antonio M. Garcia-Garcia , Diego Rodriguez-Gomez

We build a holographic description of non-relativistic system for superconductivity in strongly interacting condensed matter via gauge/gravity duality. We focus on the phase transition and give an example to show that a simple gravitational…

High Energy Physics - Theory · Physics 2009-11-03 Shi Pu , Sang-Jin Sin , Yang Zhou

This paper introduces the physics and philosophy of strange metals, which are characterized by unusual electrical and thermal properties that deviate from conventional metallic behaviour. The anomalous strange-metal behaviour discussed here…

History and Philosophy of Physics · Physics 2025-08-01 Enrico Cinti , Sebastian De Haro , Mark Golden , Umut Gürsoy , Henk T. C. Stoof

We construct the electron star solution to the model that was recently proposed by Kiritsis and Li in order to describe a holographic superconductor at finite doping. We do so by finding a map between the doped model and the standard…

High Energy Physics - Theory · Physics 2019-11-22 Laura Cruciani , Nicolas Grandi

We construct a holographic superconductor model, based on a gravity theory, which exhibits novel metal-insulator transitions. We investigate the condition for the condensation of the scalar field over the parameter space, and then focus on…

High Energy Physics - Theory · Physics 2018-01-10 Yi Ling , Peng Liu , Jian-Pin Wu , Meng-He Wu

Following a methodology similar to \cite{Alishahiha:2015rta}, we derive a holographic complexity for two dimensional holographic superconductors (gauge/string superconductors) with backreactions. Applying a perturbation method proposed by…

High Energy Physics - Theory · Physics 2016-06-02 Davood Momeni , Seyed Ali Hosseini Mansoori , Ratbay Myrzakulov

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

We consider the gravity dual of strongly coupled system at a Lifshitz-fixed point and finite temperature, which was constructed in a recent work arXiv:0909.0263. We construct an Abelian Higgs model in that background and calculate…

High Energy Physics - Theory · Physics 2011-10-27 Sang-Jin Sin , Shan-Shan Xu , Yang Zhou

A holographic dual description of a 2+1 dimensional system of strongly interacting fermions at low temperature and finite charge density is given in terms of an electron cloud suspended over the horizon of a charged black hole in…

High Energy Physics - Theory · Physics 2015-03-17 V. Giangreco M. Puletti , S. Nowling , L. Thorlacius , T. Zingg

We consider holographic superconductors in a broad class of massive gravity backgrounds. These theories provide a holographic description of a superconductor with broken translational symmetry. Such models exhibit a rich phase structure:…

High Energy Physics - Theory · Physics 2015-07-21 Matteo Baggioli , Mikhail Goykhman

In this thesis, QCD is studied from three different directions, with one overarching theme: holography. The holographic duality allows certain strongly coupled QFTs to be described in terms of much simpler classical gravity in one dimension…

High Energy Physics - Phenomenology · Physics 2020-09-03 Govert Nijs

The unusual magnetic materials are significant in both science and technology. However, because of the strongly correlated effects, it is difficult to understand their novel properties from theoretical aspects. Holographic duality offers a…

High Energy Physics - Theory · Physics 2016-11-21 Rong-Gen Cai , Run-Qiu Yang

Recently holographic techniques have been used to study the thermal properties of N=2 super-Yang-Mills theory, with gauge group SU(Nc) and coupled to Nf << Nc flavours of fundamental matter, at large Nc and large 't Hooft coupling. Here we…

High Energy Physics - Theory · Physics 2009-11-18 David Mateos , Shunji Matsuura , Robert C. Myers , Rowan M. Thomson

A gravity dual of a superconductor at finite temperature has been recently proposed. We present the vortex configuration of this model and study its properties. In particular, we calculate the free energy as a function of an external…

High Energy Physics - Theory · Physics 2013-05-29 Marc Montull , Alex Pomarol , Pedro J. Silva

We study the gravity duals of striped holographic superconductors in the AdS black hole and AdS soliton backgrounds. We show the dependences of the condensation and the critical temperature/critical chemical potential on the inhomogeneity…

High Energy Physics - Theory · Physics 2015-06-16 Xiao-Mei Kuang , Bin Wang , Xian-Hui Ge

We study, using a gravity dual, the finite temperature dynamics of $SU(N_c)$ gauge theory for large $N_c$, with fundamental quark flavours in a quenched approximation, in the presence of a fixed R--charge under a global R--current. We…

High Energy Physics - Theory · Physics 2011-06-09 Tameem Albash , Veselin Filev , Clifford V. Johnson , Arnab Kundu

We use holography to study finite-temperature deformations of RG flows that have exotic properties from an RG viewpoint. The holographic model consists of five-dimensional gravity coupled to a scalar field with a potential. Each negative…

High Energy Physics - Theory · Physics 2020-04-15 Yago Bea , David Mateos

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

I review recent work on holographic superconductivity with Einstein-Gauss-Bonnet gravity, and show how the critical temperature of the superconductor depends on both gravitational backreaction and the Gauss-Bonnet parameter, using both…

High Energy Physics - Theory · Physics 2015-03-17 Ruth Gregory
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