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Four lectures on holography and the AdS/CFT correspondence applied to condensed matter systems. The first lecture introduces the concept of a quantum phase transition. The second lecture discusses linear response theory and Ward identities.…

High Energy Physics - Theory · Physics 2009-08-12 Christopher P. Herzog

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

The holographic approach to study strongly coupled superconductors in the presence of dark matter is reviewed. We discuss the influence of dark matter on the superconducting transition temperature of both s-wave and p-wave holographic…

General Physics · Physics 2017-11-22 Marek Rogatko , Karol I. Wysokinski

Among various applications of the AdS/CFT correspondence in condensed matter physics of particular importance is the realization of the phase transition between the normal and superconducting phase in a holographic QFT. After seminal papers…

High Energy Physics - Theory · Physics 2026-03-19 Jovan Potrebić , Dragoljub Gočanin

The physical analysis of condensed matter systems can be difficult due to strong coupling, but the mathematical context of the AdS/CFT correspondence enables non-perturbative descriptions in terms of dual weakly coupled systems. This brief…

High Energy Physics - Theory · Physics 2022-11-16 D. R. Musk

We study the holographically dual description of superconductor in (2+1)-dimensions in the presence of inhomogeneous magnetic field and observe that there exists type I and type II superconductor. A new feature of type changing is observed…

High Energy Physics - Theory · Physics 2008-05-13 Wen-Yu Wen

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 study the dimensionality manifested in the AdS/CFT correspondence. We show that the dimensionality as expressed by the high temperature behavior of a system has a holographic nature also at the quantum level. The emergence of the AdS…

High Energy Physics - Theory · Physics 2008-11-26 J. L. F. Barbon , E. Rabinovici

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

I review two classes of strong coupling problems in condensed matter physics, and describe insights gained by application of the AdS/CFT correspondence. The first class concerns non-zero temperature dynamics and transport in the vicinity of…

High Energy Physics - Theory · Physics 2015-05-18 Subir Sachdev

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

In this work, we formulate a Non-Commutative (NC) extension of AdS-CFT correspondence that is manifested in the modification of behavior of a holographic superconductor. The noncommutativity is introduced in the model through the NC…

High Energy Physics - Theory · Physics 2018-12-12 Souvik Pramanik , Subir Ghosh

The AdS/CFT correspondence has developed over the last years into a very useful and powerful tool for studying strongly coupled field theories at finite temperature and density. Of particular interest is the regime of near equilibrium real…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Karl Landsteiner

In this paper we will show some applications achieved within type IIB superstring backgrounds since the emergence of the AdS/CFT correspondence. This correspondence relates a super Yang-Mills (SYM) theory, with strong coupling, and a type…

High Energy Physics - Theory · Physics 2018-06-18 Eduardo Folco Capossoli

Holographic QCD is an extra-dimensional approach to modeling hadrons, the bound states of the strong interactions. In holographic models, the extra spatial dimension creates a waveguide for fields, and the discrete towers of modes…

High Energy Physics - Phenomenology · Physics 2014-07-21 Joshua Erlich

Despite a recent flurry of applications of the broadly defined ('non-AdS/non-CFT') holographic correspondence to a variety of condensed matter problems, the status of this intriguing, yet speculative, approach remains largely undetermined.…

Strongly Correlated Electrons · Physics 2023-11-20 D. V. Khveshchenko

The goal of these notes is to introduce, in a very elementary way, the idea of the anti de-Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)- dimensional…

Strongly Correlated Electrons · Physics 2010-07-01 A S T Pires

Recent progress in two-dimensional superconductors with atomic-scale thicknesses is reviewed mainly from the experimental point of view. The superconducting systems treated here involve a variety of materials and forms: elemental-metal…

Superconductivity · Physics 2016-11-17 Takashi Uchihashi

We investigate in more detail the holographic model of a superconductor recently found by Hartnoll, Herzog, and Horowitz [Phys. Rev. Lett. 101, 031601], which is constructed from a condensate of a charged scalar field in AdS_4-Schwarzschild…

High Energy Physics - Theory · Physics 2008-12-18 Kengo Maeda , Takashi Okamura

In this talk we present applications of the AdS/CFT correspondence to strongly coupled systems at finite temperature and particle density. The model we investigate contains adjoint matter described by the gauge multiplet of N=4, as well as…

High Energy Physics - Theory · Physics 2009-06-25 Johanna Erdmenger , Matthias Kaminski , Felix Rust
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