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The BCS theory has achieved widespread success in describing conventional superconductivity. However, when the length scale reaches the atomic limit, the reduced dimensionality may lead to the quantum breakdown resulting in unpredictable…

Superconductivity · Physics 2025-06-23 Junhui Cao , Alexey Kavokin

We derive the ground-state energy of $N$ composite bosons made of fermion pairs using the recently developed composite boson many-body formalism. We concentrate on the $N$-pair energy linear in density. We show that the scattering relevant…

Strongly Correlated Electrons · Physics 2015-06-15 Shiue-Yuan Shiau , Yia-Chung Chang , Monique Combescot

We propose that in noncentrosymmetric superconductors with weakly asymmetric spin-orbit interaction the field-induced pair correlation between the spin-orbit split different bands ignored in previous studies yields unique effects; i.e. the…

Superconductivity · Physics 2009-11-13 Satoshi Fujimoto

So far the theory of Bose-Einstein condensates (BEC) of polar molecules was based on an ad hoc generalization of equations for spherical atoms. Here I adopt a rigorous pseudo-potential approach to low-energy dipolar interactions and derive…

Other Condensed Matter · Physics 2008-07-22 Andrei Derevianko

Brooding over bosons, wave packets and Bose - Einstein correlations, we present a generic quantum mechanical system that contains arbitrary number of bosons characterized by wave-packets and that can undergo a Bose-Einstein condensation…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Zimanyi , T. Csorgo

We examine the influence of the Pauli exclusion principle on the scattering properties of composite bosons (cobosons) made of two fermions, such as the exciton quasiparticle. The scattering process incorporates boson-phonon interactions…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 A. Thilagam

A Bethe-Salpeter treatment of Cooper pairs (CPs) based on an ideal Fermi gas (IFG) "sea"' yields the familiar negative-energy, two-particle bound-state if two-hole CPs are ignored, but is meaningless otherwise as it gives purely-imaginary…

Superconductivity · Physics 2007-05-23 V. C. Aguilera-Navarro , M. Fortes , M. de Llano

Pair fluctuation theory has been used to study the crossover from the weak coupling BCS theory to the strong coupling Bose Einstein Condensation. The effect of fluctuations has been studied over the whole crossover regime. It has been shown…

Strongly Correlated Electrons · Physics 2007-05-23 P. A. Sreeram , Suresh G. Mishra

We investigate the Bose-Einstein condensation of fermionic pairs in a two-dimensional uniform two-component Fermi superfluid obtaining an explicit formula for the condensate density as a function of the chemical potential and the energy…

Statistical Mechanics · Physics 2009-11-13 Luca Salasnich

[Background] Pair condensation in finite nuclei generates a collective motion known as pair rotation. The moment of inertia of pair rotation (P-MoI) has been used as an indicator of pair condensation. [Purpose] We aim to elucidate the…

Nuclear Theory · Physics 2025-04-17 Chisato Ruike , Nobuo Hinohara , Takashi Nakatsukasa

Quantum field-theory is developed for treating electrons and holes in planar systems. Non-unitary representations of Dirac equation in the plane are developed. These equations can be used for treating holes-electron pairing in high TC…

Superconductivity · Physics 2013-09-26 Y. Ben-Aryeh

In the case of structureless bosons, cooled down to low temperatures, the absorption of electromagnetic waves by their Bose-Einstein condensate is usually forbidden due to the momentum and energy conservation laws: the phase velocity of the…

Quantum Gases · Physics 2022-08-02 Dogyun Ko , Meng Sun , Vadim Kovalev , Ivan Savenko

Although BCS pairs of fermions are known not to obey Bose-Einstein (BE) commutation relations nor BE statistics, we show how Cooper pairs (CPs), whether the simple original ones or the CPs recently generalized in a many-body Bethe-Salpeter…

Superconductivity · Physics 2009-11-10 M. de Llano , F. J. Sevilla , S. Tapia

The coupling of electrons to matter is at the heart of our understanding of material properties such as electrical conductivity. One of the most intriguing effects is that electron-phonon coupling can lead to the formation of a Cooper pair…

An independent pair ansatz is developed for the many body wavefunction of dilute Bose systems. The pair correlation is optimized by minimizing the expectation value of the full hamiltonian (rather than the truncated Bogoliubov one)…

Condensed Matter · Physics 2009-11-07 S. Fantoni , T. M. Nguyen , A. Sarsa , S. R. Shenoy

The self-energy effect on the neutron-proton (np) pairing gap is investigated up to the third order within the framework of the extend Bruecker-Hartree-Fock (BHF) approach combined with the BCS theory. The self-energy up to the second-order…

Nuclear Theory · Physics 2019-07-26 Xiao-Hua Fan , Xin-le Shang , Jian-Min Dong , Wei Zuo

The development of patterned multi-quantum well heterostructures in GaAs/AlGaAs waveguides has recently allowed to achieve exciton-polariton condensation in a topologically protected bound state in the continuum (BIC). Remarkably,…

We theoretically study the ground-state properties and the condensations of exciton-like Cooper pairs and biexciton-like Cooper quartets in an electron-hole system. Applying the variational approach associated based on the quartet…

Strongly Correlated Electrons · Physics 2022-05-27 Yixin Guo , Hiroyuki Tajima , Haozhao Liang

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

We propose a many-body formalism for Cooper pairs which has similarities to the one we recently developed for composite boson excitons (coboson in short). Its Shiva diagram representation evidences that $N$ Cooper pairs differ from $N$…

Superconductivity · Physics 2011-11-08 Monique Combescot , Guojun Zhu