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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

Unconventional superconductors that spontaneously break space-group symmetries of their underlying crystal lattice are distinguished by spatial modulations of the superconducting order parameter. These states have recently captured…

Momentum relaxation can be built into many holographic models without sacrificing homogeneity of the bulk solution. In this paper we study two such models: one in which translational invariance is broken in the dual theory by…

High Energy Physics - Theory · Physics 2015-04-24 Tomas Andrade , Simon A. Gentle

We explore the behaviors of the holographic superconductors at zero temperature for a charged scalar field coupled to a Maxwell field in higher-dimensional AdS soliton spacetime via analytical way. In the probe limit, we obtain the critical…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Chong Oh Lee

Using a recently developed renormalization group method for fermionic superfluids, we determine conditions for d-wave superconductivity in the two-dimensional Hubbard model at moderate interaction strength, and we compute the pairing gap in…

Strongly Correlated Electrons · Physics 2014-01-21 Andreas Eberlein , Walter Metzner

We generalize the concept of holography for the color superconductivity (CSC) phase by considering $d$-dimensional Anti de Sitter (AdS) space instead of the traditional 6 dimensions. The corresponding dual field theory is an arbitrary…

High Energy Physics - Theory · Physics 2025-05-27 Nguyen Hoang Vu

Using a noncommutative inspired anti-de Sitter-Einstein-Born-Infeld black hole with both non-commutative mass and charge distributions, we analyse a holographic superconductor in the context of the AdS/CFT correspondence. We show that the…

High Energy Physics - Theory · Physics 2020-03-11 Marco Maceda , Sergio Patiño-López

The theoretical understanding of conventional superconductivity as the phonon-assisted formation and condensation of two-electron Cooper pairs is a significant triumph in condensed matter physics. Here, we propose many-electron…

Superconductivity · Physics 2026-01-01 Zi-Hao Dong , Yi Zhang

The Cooper pair binding energy {\it vs.} center-of-mass-momentum dispersion relation for Bose-Einstein condensation studies of superconductivity is found in two dimensions for a renormalized attractive delta interaction. It crosses over…

Strongly Correlated Electrons · Physics 2015-06-24 S. K. Adhikari , M. Casas , A. Puente , A. Rigo , M. Fortes , M. A. Solís , M. de Llano , A. A. Valladares , O. Rojo

We study a one-dimensional model of interacting conduction electrons with a two-fold degenerate band away from half filling. The interaction includes an on-site Coulomb repulsion and Hund's rule coupling. We show that such one-dimensional…

Condensed Matter · Physics 2009-10-28 D. G. Shelton , A. M. Tsvelik

Light-mass bipolarons in off-diagonally coupled electron-phonon systems provide a potential route to bipolaronic high-Tc superconductivity. While there has been numerical progress in the physically relevant limit of slow phonons, more…

Superconductivity · Physics 2023-08-28 Martin Grundner , Tizian Blatz , John Sous , Ulrich Schollwöck , Sebastian Paeckel

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

Near a Mott transition, strong electron correlations may enhance Cooper pairing. This is demonstrated in the Dynamical Mean Field Theory solution of a twofold-orbital degenerate Hubbard model with inverted Hund's rules on-site exchange,…

Strongly Correlated Electrons · Physics 2007-08-07 M. Capone , M. Fabrizio , C. Castellani , E. Tosatti

The Cooper pair is generally analyzed in momentum space, but its real-space structure also follows directly from the BCS theory. It is shown here that this leads to a spherically symmetrical quasi-atomic wavefunction, with an identical…

Superconductivity · Physics 2007-05-23 Alan M. Kadin

The oxygen O2p_sigma and copper Cu4s and Cu3d_x^2-y^2 orbitals are involved in a simple LCAO model for determination of the conduction band and the oxygen-oxygen hopping is considered as a small parameter with respect to the transition…

Superconductivity · Physics 2007-05-23 T. M. Mishonov , A. A. Donkov , R. K. Koleva , E. S. Penev

Superconductivity in the two component model of coexisting local electron pairs (hard-core charged bosons) and itinerant fermions coupled via charge exchange mechanism is discussed. The cases of isotropic s-wave and anisotropic pairing of…

Superconductivity · Physics 2009-11-10 R. Micnas , S. Robaszkiewicz , A. Bussmann-Holder

I present a simple analytical model describing the normal state of a superconductor with a pseudogap in the density of states, such as in underdoped cuprates. In nearly two-dimensional systems, where the superconducting transition…

Superconductivity · Physics 2009-10-30 O. Tchernyshyov

High-Tc superconductivity in layered cuprates is described in a BCS-BEC formalism with linearly-dispersive s- and d-wave Cooper pairs moving in quasi-2D finite-width layers about the CuO_2 planes. This yields a closed formula for Tc…

Superconductivity · Physics 2010-01-07 C. Villarreal , M. de Llano

Superconductivity in Dirac electrons has recently been proposed as a new platform between novel concepts in high-energy and condensed matter physics. It has been proposed that supersymmetry and exotic quasiparticles, both of which remain…

We investigate the dependence of the conductivity and the entanglement entropy on the space-time dimensionality $d$ in two holographic superconductors: one dual to a quantum critical point with spontaneous symmetry breaking, and the other…

High Energy Physics - Theory · Physics 2016-01-15 Aurelio Romero-Bermúdez , Antonio M. García-García