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We construct holographic superconductors at zero density. The model enjoys a luxury property that the background geometry dual to the ground state is analytically available. It has a hyperscaling-violating geometry in the IR and is…

High Energy Physics - Theory · Physics 2023-05-04 Jie Ren , Haodong Xie

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 add a gravitational background lattice to the simplest holographic model of matter at finite density and calculate the optical conductivity. With the lattice, the zero frequency delta function found in previous calculations (resulting…

High Energy Physics - Theory · Physics 2017-08-23 Gary T. Horowitz , Jorge E. Santos , David Tong

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

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

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 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

The holographic model for S-wave high T_c superconductors developed by Hartnoll, Herzog and Horowitz is generalized to describe D-wave superconductors. The 3+1 dimensional gravitational theory consists a symmetric, traceless second-rank…

High Energy Physics - Theory · Physics 2015-03-13 Jiunn-Wei Chen , Ying-Jer Kao , Debaprasad Maity , Wen-Yu Wen , Chen-Pin Yeh

We construct a holographic SU(2) p-wave superconductor model with Weyl corrections. The high derivative (HD) terms do not seem to spoil the generation of the p-wave superconducting phase. We mainly study the properties of AC conductivity,…

High Energy Physics - Theory · Physics 2021-08-03 Yan Liu , Guoyang Fu , Hai-Li Li , Jian-Pin Wu , Xin Zhang

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

We obtain a new class of topological black hole solutions in $(n+1)$-dimensional massive gravity in the presence of the power-Maxwell electrodynamics. We calculate the conserved and thermodynamic quantities of the system and show that the…

High Energy Physics - Theory · Physics 2017-10-06 A. Dehyadegari , M. Kord Zangeneh , A. Sheykhi

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

We construct a holographic p-wave superconductor model in the framework of quasi-topological gravity in the probe limit. The relation between the critical temperature and the coupling parameters of higher curvature terms is investigated.…

High Energy Physics - Theory · Physics 2015-05-28 Xiao-Mei Kuang , Wei-Jia Li , Yi Ling

Massive gravity provides a holographic model for theories exhibiting momentum dissipation. We provide an analytic expression for the DC conductivity. The result is universal, depending only on properties of the infra-red horizon, and holds…

High Energy Physics - Theory · Physics 2013-12-10 Mike Blake , David Tong

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

This is a concise review of holographic superconductors and superfluids. We highlight some predictions of the holographic models and the emphasis is given to physical aspects rather than to the technical details, although some references to…

High Energy Physics - Theory · Physics 2015-04-21 Alberto Salvio

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

We study direct currents in a simple holographic realization of a superconducting film. We investigate how the presence of a DC current affects the superconducting phase transition, which becomes first order for any non-vanishing value of…

High Energy Physics - Theory · Physics 2010-12-17 Daniel Areán , Matteo Bertolini , Jarah Evslin , Tomás Procházka

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

Understanding the role of charge density wave (CDW) in high-temperature superconductivity is a longstanding challenge in condensed matter physics. We construct a holographic superconductor model in which the $U(1)$ symmetry is spontaneously…

High Energy Physics - Theory · Physics 2021-01-04 Yi Ling , Peng Liu , Meng-He Wu
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