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Superconductivity and superfluidity of fermions require, within the BCS theory, matching of the Fermi energies of the two interacting Fermion species. Difference in the number densities of the two species leads either to a normal state, to…

Strongly Correlated Electrons · Physics 2009-11-11 L. M. Jensen , J. Kinnunen , P. Torma

Rigorous relations for Gutzwiller projected BCS states are derived. The obtained results do not depend on the details of model systems, but solely on the wave functions. Based on the derived relations, physical consequences are discussed…

Superconductivity · Physics 2011-11-09 Seiji Yunoki

A d-wave superconducting ground state for a doped Mott insulator is obtained. It is distinguished from a Gutzwiller-projected BCS superconductor by an explicit separation of Cooper pairing and resonating valence bond (RVB) pairing. Such a…

Superconductivity · Physics 2011-12-05 Zheng-Yu Weng

We investigate the properties of cuprate superconductors subject to applied current, using modified Gutzwiller projected d-wave BCS states. The parent states include quasiparticle and quasihole pockets, of variationally determined size,…

Superconductivity · Physics 2010-07-15 Lilach Goren , Ehud Altman

We show that two phenomena of superfluidity, superfluidity of weakly interacting bosons and superconductivity of the BCS model, are unified using the collective mode arising from the Berry connection for many-body wave functions. The…

Superconductivity · Physics 2020-01-22 Hiroyasu Koizumi

Although the standard theory of superconductivity based on the BCS theory is a successful one, several experimental results indicate the necessity for a fundamental revision. We argue that the revision is on the origin of the phase variable…

Superconductivity · Physics 2021-05-03 Hiroyasu Koizumi

In this note, a novel BCS-type formalism is constructed in the framework of a schematic QCD inspired quark model, having in mind the description of color symmetrical superconducting states. The physical properties of the BCS vacuum (average…

Nuclear Theory · Physics 2014-11-20 Henrik Bohr , João da Providência

We revisit the question of nature of odd-frequency superconductors, first proposed by Berezinskii in 1974. \cite{berezinskii1974} We start with the notion that order parameter of odd-frequency superconductors can be thought of as a time…

Superconductivity · Physics 2015-05-13 Hari P. Dahal , E. Abrahams , D. Mozyrsky , Y. Tanaka , A. V. Balatsky

Ultranarrow superconductors are in the strong quantum confinement regime with formation of multiple coherent condensates associated with the many subbands of the electronic structure. Here we analyze the multiband BCS-BEC crossover induced…

Superconductivity · Physics 2015-12-22 Andrea Guidini , Luca Flammia , Milorad V. Milošević , Andrea Perali

The emergence of a rectified steady-state supercurrent as a response to the photoexcited current of the quasiparticles constitutes the concept of a superconducting photodiode. This phenomenon occurs in a two-dimensional thin superconducting…

Superconductivity · Physics 2025-11-06 A. V. Parafilo , V. M. Kovalev , I. G. Savenko

The common wisdom that the phonon mechanism of electron pairing in the weak-coupling Bardeen-Cooper-Schrieffer (BCS) superconductors leads to conventional s-wave Cooper pairs is revised. An inevitable anisotropy of sound velocity in…

Superconductivity · Physics 2009-11-13 A. S. Alexandrov

Singlet $S$-wave superfluidity of dilute neutron matter is studied within the correlated BCS method, which takes into account both pairing and short-range correlations. First, the equation of state (EOS) of normal neutron matter is…

Nuclear Theory · Physics 2017-05-15 G. E. Pavlou , E. Mavrommatis , Ch. Moustakidis , J. W. Clark

We present a theoretical review of the recent progress in nonequilibrium BCS (Bardeen-Cooper-Schrieffer)-BEC (Bose-Einstein condensation) crossover physics. As a paradigmatic example, we consider a strongly interacting driven-dissipative…

Quantum Gases · Physics 2025-03-07 Taira Kawamura , Yoji Ohashi

We explore a $Z_{2}$ fractionalized Bardeen-Cooper-Schrieffer (BCS) superconducting state, which is a minimal extension of usual BCS framework. It is found that this state has similar thermal and transport properties, but its…

Strongly Correlated Electrons · Physics 2014-09-30 Yin Zhong , Han-Tao Lu , Hong-Gang Luo

The intimate connection between antiferromagnetism and superconductivity is at the core of high-temperature superconductivity. Here, we put forward the projected BCS theory for the unification of antiferromagnetism at half filling and…

Strongly Correlated Electrons · Physics 2020-01-01 Hyunwoong Kwon , Kwon Park

We investigate the properties of a three-dimensional homogeneous dipolar Bose gas in a weak random potential with a Gaussian correlation function at finite temperature. Using the Bogoliubov theory (beyond the mean field), we calculate the…

Disordered Systems and Neural Networks · Physics 2015-08-26 Abdelaali Boudjemaa

According to the BCS model the probability of filling of pair electron states vk2 as a function of kinetic energy is smeared i.e. is not a step function. This means that part of energy of connection through virtual phonons is consumed to…

Superconductivity · Physics 2011-01-04 I. N. Zhilyaev

Band theory and BCS theory are arguably the most successful theories of condensed matter physics. Yet, in a number of materials, in particular the high-temperature superconductors and the layered organic superconductors, they fail. In these…

Superconductivity · Physics 2014-04-17 A. -M. S. Tremblay

In preceding papers the author proposed a new mechanism of Cooper pair formation that follows within an extended Heisenberg model. The new mechanism operates in narrow, partly filled "superconducting" energy bands of special symmetry and…

Superconductivity · Physics 2007-05-23 Ekkehard Krüger

The BCS-BEC crossover within the two-dimensional attractive Hubbard model is studied by using the Cellular Dynamical Mean-Field Theory both in the normal and superconducting ground states. Short-range spatial correlations incorporated in…

Strongly Correlated Electrons · Physics 2009-11-11 B. Kyung , A. Georges , A. -M. S. Tremblay