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Superconductivity emerges from the spatial coherence of a macroscopic condensate of Cooper pairs. Increasingly strong binding and localization of electrons into these pairs compromises the condensate's phase stiffness, thereby limiting…

Strongly Correlated Electrons · Physics 2024-12-18 Niklas Witt , Yusuke Nomura , Sergey Brener , Ryotaro Arita , Alexander I. Lichtenstein , Tim O. Wehling

The order parameter in superconductivity of cuprates is investigated in the framework of the Bogoliubov theory. By using a simplifying assumption about the electronic states, it is predicted an effective critical temperature Tc* > Tc…

Superconductivity · Physics 2010-10-15 Marcello Salis

We derive a path-integral description of the vortex state of a fermionic superfluid in the crossover region between the molecular condensate (BEC) regime and the Cooper pairing (BCS) regime. This path-integral formalism, supplemented by a…

Other Condensed Matter · Physics 2016-08-31 J. Tempere , M. Wouters , J. T. Devreese

The Bogoliubov-de Gennes (BdG) equations are solved in the strong-coupling limit, where real-space (preformed) pairs bose-condense with finite center-of-mass momenta. There are two energy scales in this regime, a temperature independent…

Superconductivity · Physics 2007-05-23 A. S. Alexandrov

We implement the Bogoliubov-de Gennes (BdG) equation in real-space using the screened Korringa-Kohn-Rostoker (KKR) method. This allows us to solve, self-consistently, the superconducting state for 3d crystals including substitutional…

Superconducting transitions are driven by thermal fluctuations close to the transition temperature, Tc. These fluctuations are averaged out in global measurements, leaving imprints on susceptibility and resistance measurements. Here, we use…

Superconductivity · Physics 2018-06-29 Shai Wissberg , Aviad Frydman , Beena Kalisky

The thermodynamic properties of superconducting electrons are usually studied by means of the quasi-particles distribution; but in this approach, the ground state energy and the dependence of the chemical potential on the electron density…

Superconductivity · Physics 2017-06-09 Enore Guadagnini

We study various inhomogeneity effects on superconductivity as due to quantum confinement, surfaces and impurities, using the self-consistent Bogoliubov-de Gennes formalism on the attractive Hubbard model. The results are also compared with…

Superconductivity · Physics 2009-11-10 K. Tanaka , F Marsiglio

Three BCS superconductors S_a, S_b, and S and two short normal regions N_a and N_b in a three-terminal S_aN_aSN_bS_b set-up provide a source of non-local quartets spatially separated as two correlated pairs in S_a and S_b, if the distance…

Superconductivity · Physics 2011-06-28 Axel Freyn , Benoit Douçot , Denis Feinberg , Régis Mélin

Two-band electronic structures with a valence and a conduction band separated by a tunable energy gap and with pairing of electrons in different channels can be relevant to investigate the properties of two-dimensional multiband…

Superconductivity · Physics 2023-05-04 Giovanni Midei , Andrea Perali

We show that the transition from a normal conducting state to a superconducting state is a second-order phase transition in the BCS-Bogoliubov model of superconductivity from the viewpoint of operator theory. Here we have no magnetic field.…

Mathematical Physics · Physics 2020-03-12 Shuji Watanabe

We report on the implementation of the Bogoliubov-de Gennes method into the JuKKR code [https: //jukkr.fz-juelich.de], an implementation of the relativistic all-electron, full-potential Korringa-Kohn-Rostoker Green function method, which…

Superconductivity · Physics 2022-04-11 Philipp Rüßmann , Stefan Blügel

A theoretical methodology for exploring the conventional Bardeen-Cooper-Schrieffer (BCS) pairing instability for superconductivity from a correlated normal phase for all possible degrees of many-body correlation, has been developed. The…

Superconductivity · Physics 2021-02-24 Koushik Mandal , Ranjan Chaudhury

The two-component model of high temperature superconductors in its real space version has been solved using Bogoliubov-de Gennes equations. The disorder in the electron and boson subsystem has been taken into account. It strongly modifies…

Superconductivity · Physics 2015-05-19 J. Krzyszczak , T. Domanski , K. I. Wysokinski , R. Micnas , S. Robaszkiewicz

Recent developments in weak-coupling color superconductivity are reviewed. These developments are as follows. The mean field gap equation is solved for most common superconducting phases up to subleading order; BCS relation is found to be…

Nuclear Theory · Physics 2009-11-10 Qun Wang

We review recent results concerning the mathematical properties of the Bardeen-Cooper-Schrieffer (BCS) functional of superconductivity, which were obtained in a series of papers partly in collaboration with R. Frank, E. Hamza, S. Naboko,…

Mathematical Physics · Physics 2016-09-29 Christian Hainzl , Robert Seiringer

We systematically explore the exquisiteness of Bardeen-Cooper-Schriefer(BCS) theory where the BCS-type electron-phonon interaction is unambiguously reinforced as the only viable superglue in cuprate superconductors because phonon-induced…

Superconductivity · Physics 2014-07-01 Andrew Das Arulsamy

Local superconducting gap structure is studied as a function of nanoscale depth in electric-field-induced surface superconductivity such as in SrTiO3. We examine solutions of Bogoliubov-de Gennes equation in two limiting confinement…

Superconductivity · Physics 2013-03-04 Yousuke Mizohata , Masanori Ichioka , Kazushige Machida

We present a numerical study of the interaction quench dynamics in a superfluid ultracold Fermi gas confined in a three-dimensional cigar-shaped harmonic trap. In the present paper we investigate the amplitude mode of the superfluid order…

Quantum Gases · Physics 2018-11-14 S. Hannibal , P. Kettmann , M. D. Croitoru , V. M. Axt , T. Kuhn

We build a holographic model for the pairing fluctuation pseudogap phase in fermionic high temperature superconductivity/superfluidity based on the BCS-BEC crossover scenario. The pseudogap originates from incoherent Cooper pairing and has…

High Energy Physics - Theory · Physics 2017-11-22 Oliver DeWolfe , Oscar Henriksson , Chaolun Wu