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We investigate the crossover from the Bardeen-Cooper-Schrieffer (BCS) state of weakly-bound Cooper pairs to the Bose-Einstein Condensate (BEC) of strongly-bound molecular dimers in a gas of ultracold atoms loaded on a two-dimensional…

Quantum Gases · Physics 2012-08-21 Luca Salasnich , Flavio Toigo

The usual formulation of the BCS ansatz for superconductivity in the grand canonical ensemble makes the handling of the Pauli exclusion principle between paired electrons straightforward. It however tends to mask that many-body effects…

Superconductivity · Physics 2015-06-03 G. Zhu , M. Combescot , O. Betbeder-Matibet

We consider a hypothetical substance, where interaction between (within) structural elements of condensed matter (molecules, nanoparticles, clusters, layers, wires etc.) depends on state of Cooper pairs: an additional work must be made…

Superconductivity · Physics 2018-05-02 Konstantin V. Grigorishin

It is now widely accepted that the cuprate superconductors are characterized by the same long-range order as that present in the Bardeen-Cooper-Schrieffer (BCS) theory: that associated with the condensation of Cooper pairs. We argue that…

Superconductivity · Physics 2009-09-29 Subir Sachdev

By means of a new canonical transformation for the one-band Hubbard model at half filling we show the existence of Cooper pairs formed by strongly interacting quasiparticles.

Strongly Correlated Electrons · Physics 2009-02-12 Valentin Voroshilov

Cooper's one pair problem is investigated for a 2D lattice in the background of both passive and active Fermi sea in a weakly correlated environment. Boson exchange mechanisms involving excitons as well as phonons are invoked for pairing in…

Superconductivity · Physics 2016-04-12 Soumi Roy Chowdhury , Ranjan Chaudhury

The two electrons of a Cooper pair in a conventional superconductor form a singlet and therefore a maximally entangled state. Recently, it was demonstrated that the two particles can be extracted from the superconductor into two spatially…

Mesoscale and Nanoscale Physics · Physics 2012-10-10 J. Schindele , A. Baumgartner , C. Schönenberger

While Josephson-like junctions, transiently established in heavy ion collisions ($\tau_{coll}\approx10^{-21}$ s) between superfluid nuclei --through which Cooper pair tunneling ($Q$-value $Q_{2n}$) proceeds mainly in terms of successive…

Nuclear Theory · Physics 2021-03-03 G. Potel , F. Barranco , E. Vigezzi , R. A. Broglia

We experimentally determined various thermodynamic quantities of interacting two-component fermions at the zero-temperature limit from the Bardeen-Cooper-Schrieffer (BCS) region to the unitarity limit. The obtained results are very accurate…

Superconducting electron systems of solids hosting flat bands are studied, with a view to improved understanding of the fundamental physics giving rise to high-temperature superconductivity. We present a modified form of the set of Gor'kov…

Strongly Correlated Electrons · Physics 2017-02-03 V. A. Khodel , J. W. Clark , M. V. Zverev

We consider the Cooper-problem on a two-dimensional, square lattice with a uniform, perpendicular magnetic field. Only rational flux fractions are considered. An extended (real-space) Hubbard model including nearest and next nearest…

Superconductivity · Physics 2009-11-07 S. Mo , A. Sudbo

Transportation of Cooper-pairs by a movable single Cooper-pair-box placed between two remote superconductors is shown to establish coherent coupling between them. This coupling is due to entanglement of the movable box with the leads and is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Isacsson , L. Y. Gorelik , R. I. Shekhter , Y. M. Galperin , M. Jonson

The binding energy of Cooper pairs has been calculated for the case of d-wave symmetry of the superconducting gap in layered cuprate superconductors. We assume that Cooper pairs are formed by the short range potential and then derive the…

Superconductivity · Physics 2007-05-23 I. E. Lyubin , M. V. Eremin

We study the two-dimensional spin-charge separated Ginzburg-Landau theory containing U(1) gauge interactions as a semi-phenomenological model describing fluctuating condensates in high temperature superconductivity. Transforming the…

Superconductivity · Physics 2009-10-31 Atsuya Kumagai , Masahiko Hayashi , Hiromichi Ebisawa

Understanding the nature of Cooper pairs is essential to describe the properties of superconductors. The original proposal of Bardeen, Cooper, and Schrieffer (BCS) was based on electrons pairing with same energy and zero center-of-mass…

Superconductivity · Physics 2023-01-11 Debmalya Chakraborty , Annica M. Black-Schaffer

We present a dimensionally deconstructed model of an s-wave holographic superconductor. The 2+1 dimensional model includes multiple charged Cooper pair fields and neutral exciton fields that have interactions governed by hidden local…

High Energy Physics - Theory · Physics 2013-05-30 Dylan Albrecht , Christopher D. Carone , Joshua Erlich

Advances in materials and fabrication of superconducting devices allows the exploration of novel quantum effects in synthetic superconducting systems beyond conventional Josephson junction arrays. As an example, we introduce a new circuit…

Superconductivity · Physics 2025-10-08 Guilherme Delfino , Dmitry Green , Saulius Vaitiekėnas , Charles M. Marcus , Claudio Chamon

We consider the Cooper-problem on a lattice model including onsite and near-neighbor interactions. Expanding the interaction in basis functions for the irreducible representation for the point group $C_{4v}$ yields a classification of the…

Superconductivity · Physics 2008-02-03 E. Otnes , A. Sudbø

Combining superconductor and semiconductors in nanostructure junctions was a challenging technological problem that attracted attention for long time [van Wees]. The radiative recombination of Cooper pairs was demonstrated, using a…

Materials Science · Physics 2013-12-10 A. Ignatov , R. H. Yuan , N. L. Wang

We show that Calogero-Sutherland models for interacting particles have a natural supersymmetric extension. For the construction, we use Jacobians which appear in certain superspaces. Some of the resulting Hamiltonians have a direct physics…

Mathematical Physics · Physics 2009-11-10 Thomas Guhr , Heiner Kohler
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