scholarly journals Strong-coupling limit in the evolution from BCS superconductivity to Bose-Einstein condensation

2000 ◽  
Vol 61 (22) ◽  
pp. 15370-15381 ◽  
Author(s):  
P. Pieri ◽  
G. C. Strinati
1999 ◽  
Vol 13 (05n06) ◽  
pp. 667-673
Author(s):  
F. PISTOLESI ◽  
G. C. STRINATI

We consider a system of fermions with an effective attractive interaction, for which formation of (real-space) bound pairs is expected to occur in the strong-coupling limit. We provide a direct mapping of this fermionic system onto an effective system of bosons with residual boson-boson interaction by means of functional integrals. We determine in this way the strength and the range of the residual boson-boson interaction.


2020 ◽  
Vol 14 (12) ◽  
pp. 2000273
Author(s):  
Zhiyang Chen ◽  
Huying Zheng ◽  
Hai Zhu ◽  
Ziying Tang ◽  
Yaqi Wang ◽  
...  

1999 ◽  
Vol 13 (08) ◽  
pp. 925-937 ◽  
Author(s):  
GANG SU ◽  
MASUO SUZUKI

It can be shown that the bosonic degree of freedom of the tightly bound on-site electron pairs could be separated as Schwinger bosons. This is implemented by projecting the whole Hilbert space into the Hilbert subspace spanned by states of two kinds of Schwinger bosons (to be called binon and vacanon) subject to a constraint that these two kinds of bosonic quasiparticles cannot occupy the same site. We argue that a binon is actually a kind of quantum fluctuations of electron pairs, and a vacanon corresponds to a vacant state. These two bosonic quasiparticles may be responsible for the Bose–Einstein condensation (BEC) of the system associated with electron pairs. These concepts are also applied to the attractive Hubbard model with strong coupling, showing that it is quite useful. The relevance of the present arguments to the existing theories associated with the BEC of electron pairs is briefly commented.


Author(s):  
Alexey V. Kavokin ◽  
Jeremy J. Baumberg ◽  
Guillaume Malpuech ◽  
Fabrice P. Laussy

In this Chapter we address the physics of Bose-Einstein condensation and its implications to a driven-dissipative system such as the polariton laser. We discuss the dynamics of exciton-polaritons non-resonantly pumped within a microcavity in the strong coupling regime. It is shown how the stimulated scattering of exciton-polaritons leads to formation of bosonic condensates that may be stable at elevated temperatures, including room temperature.


Author(s):  
Klaus Morawetz

The Bose–Einstein condensation and appearance of superfluidity and superconductivity are introduced from basic phenomena. A systematic theory based on the asymmetric expansion of chapter 11 is shown to correct the T-matrix from unphysical multiple-scattering events. The resulting generalised Soven scheme provides the Beliaev equations for Boson’s and the Nambu–Gorkov equations for fermions without the usage of anomalous and non-conserving propagators. This systematic theory allows calculating the fluctuations above and below the critical parameters. Gap equations and Bogoliubov–DeGennes equations are derived from this theory. Interacting Bose systems with finite temperatures are discussed with successively better approximations ranging from Bogoliubov and Popov up to corrected T-matrices. For superconductivity, the asymmetric theory leading to the corrected T-matrix allows for establishing the stability of the condensate and decides correctly about the pair-breaking mechanisms in contrast to conventional approaches. The relation between the correlated density from nonlocal kinetic theory and the density of Cooper pairs is shown.


2003 ◽  
Vol 5 (2) ◽  
pp. S119-S123 ◽  
Author(s):  
T G Tiecke ◽  
M Kemmann ◽  
Ch Buggle ◽  
I Shvarchuck ◽  
W von Klitzing ◽  
...  

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