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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)…

高能物理 - 理论 · 物理学 2008-11-26 Sean A. Hartnoll , Christopher P. Herzog , Gary T. Horowitz

We argue that the general symmetry-breaking pattern in (quasi-)conventional (parity and time-reversal symmetric single-band spin-singlet) superconductivity is given by U(1)_V x U(1)_A -> U(1)_A, where V stands for vector and A stands for…

超导电性 · 物理学 2012-03-12 Kosuke Odagiri

The holographic superconductor is one of the most popular models in the context of applied holography. Despite what its name suggests, it does not describe a superconductor. On the contrary, the low temperature phase of its dual field…

高能物理 - 理论 · 物理学 2023-04-04 Hyun-Sik Jeong , Matteo Baggioli , Keun-Young Kim , Ya-Wen Sun

We analytically and numerically investigate the properties of s-wave holographic superconductors by considering the effects of scalar and gauge fields on the background geometry in five dimensional Einstein-Gauss-Bonnet gravity. We assume…

广义相对论与量子宇宙学 · 物理学 2017-03-21 Hamid Reza Salahi , Ahmad Sheykhi , Afshin Montakhab

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…

高能物理 - 理论 · 物理学 2008-12-18 Kengo Maeda , Takashi Okamura

Ginzburg-Landau theory is used to study the properties of single vortices and of the Abrikosov vortex lattice in a $d_{x^2-y^2}$ superconductor. For a single vortex, the $s$-wave order parameter has the expected four-lobe structure in a…

凝聚态物理 · 物理学 2016-08-31 A. J. Berlinsky , A. L. Fetter , M. Franz , C. Kallin , P. I. Soininen

The cluster size dependence of superconductivity in the conventional two-dimensional Hubbard model, commonly believed to describe high-temperature superconductors, is systematically studied using the Dynamical Cluster Approximation and…

超导电性 · 物理学 2009-11-11 T. A. Maier , M. Jarrell , T. C. Schulthess , P. R. C. Kent , J. B. White

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…

高能物理 - 理论 · 物理学 2013-11-13 Xiao-Mei Kuang , Eleftherios Papantonopoulos , George Siopsis , Bin Wang

Surface superconductivity is studied within Ginzburg-Landau theory for two classes of models for the order parameter of UPt$_{3}$. The first class assumes two independent one-dimensional order parameters ($AB$ models), while the second…

凝聚态物理 · 物理学 2009-10-28 Ding Chuan Chen , Anupam Garg

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…

高能物理 - 理论 · 物理学 2015-05-18 Gary T. Horowitz

We analytically investigate the phase transition between the holographic insulator and superconductor with Weyl corrections by using the variational method for the Sturm-Liouville eigenvalue problem. We find that similar to the curvature…

高能物理 - 理论 · 物理学 2013-03-19 Zixu Zhao , Qiyuan Pan , Jiliang Jing

We explore the effects of the general non-minimally coupled $RF^2$-type couplings on the holographic s-wave superconductors numerically in the Schwarzschild-AdS background. We calculate the condensation and conductivity of the model for the…

高能物理 - 理论 · 物理学 2016-05-11 Özcan Sert

We show that a two-dimensional $s$-wave superconductor may become topological in the presence of a magnetic field that leads to the formation of an Abrikosov vortex lattice. Below the upper critical field, a superconducting state with a…

超导电性 · 物理学 2025-11-18 Daniil S. Antonenko , Liang Fu , Leonid. I Glazman

This study investigates various phase transitions, including those of 2nd, 1st, and 0th order, in a holographic p-wave superfluid model incorporating 4th- and 6th-order nonlinear terms with coefficients $\lambda$ and $\tau$. We demonstrate…

高能物理 - 理论 · 物理学 2025-12-08 Yue-Peng Wang , Zi-Qiang Zhao , Hui Zeng , Zhang-Yu Nie

A Ginzburg-Landau theory is developed for unconventional superconductors with the three relevant singlet pairing channels. Various consequences of the sub-dominant channels (i.e., s- and d_{xy}-channels) are examined in detail. (1) In the…

超导电性 · 物理学 2009-10-31 Qiang-Hua Wang , Z. D. Wang , Q. Li

We study the holographic p-wave superconductors in a five-dimensional Gauss-Bonnet gravity with an SU(2) Yang-Mills gauge field. In the probe approximation, we find that when the Gauss-Bonnet coefficient grows, the condensation of the…

高能物理 - 理论 · 物理学 2014-11-21 Rong-Gen Cai , Zhang-Yu Nie , Hai-Qing Zhang

We propose a superconducting diode device comprising a central superconducting film flanked by two wires carrying an applied DC bias, suitably chosen so as to generate different asymmetric field profiles. Through numerical simulations of…

We consider the generalization of the S-duality transformation previously investigated in the context of the FQHE and s-wave superconductivity to p-wave superconductivity in 2+1 dimensions in the framework of the AdS/CFT correspondence. The…

高能物理 - 理论 · 物理学 2018-01-16 Alexander Gorsky , Elena Gubankova , Rene Meyer , Andrey Zayakin

Analytical investigation of the properties of $s$-wave holographic superconductors in the background of a massive gravity theory in the probe limit has been carried out employing the Sturm-Liouville eigenvalue method . We obtain the…

高能物理 - 理论 · 物理学 2023-05-03 Diganta Parai , Suchetana Pal , Sunandan Gangopadhyay

The low-energy limits of the string theory lead to the higher-order curvature corrections for Einstein gravity. Also, they give the higher-order derivative corrections for the Maxwell or linear electrodynamics, which suggests the nonlinear…

高能物理 - 理论 · 物理学 2019-09-09 Cao H. Nam
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