Excitons dressed by a sea of excitons

@article{Combescot2004ExcitonsDB,
  title={Excitons dressed by a sea of
excitons},
  author={Monique Combescot and O. Betbeder-matibet},
  journal={The European Physical Journal B - Condensed Matter and Complex Systems},
  year={2004},
  volume={42},
  pages={509-528}
}
Abstract.We here consider an exciton i embedded in a sea of N identical excitons 0. If the excitons are taken as true bosons, a bosonic enhancement factor N is found for i=0. If the exciton composite nature is kept, this enhancement not only exists for i=0, but also for any exciton having a center of mass momentum equal to the sea exciton momentum. This physically comes from the fact that an exciton with such a momentum can be transformed into a sea exciton by “Pauli scattering”, i.e., carrier… 
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References

SHOWING 1-10 OF 13 REFERENCES
New criteria for bosonic behavior of excitons
Dimensional arguments lead to say that N excitons in a sample of volume V behave as bosons for λNax3/V 1, ax being the exciton radius and λ a dimensionless factor. The Mott criterion, which is based
Commutation technique for interacting close-to-boson excitons
Abstract:The correct treatment of the close-to-boson character of excitons is known to be a major problem. In a previous work, we have proposed a “commutation technique” to include this
On the N-exciton normalization factor
Abstract:The N-ground-state-exciton normalization factor, namely 〈v| B0NB0dagN| v〉 = N!FN, with B0dag the exact ground state exciton creation operator, differs from N! because the excitons are not
Density expansion of the energy of N close-to-boson excitons
Abstract:Pauli exclusion between the carriers of N excitons induces novel many-body effects, quite different from the ones generated by Coulomb interaction. Using our commutation technique for
The effective bosonic Hamiltonian for excitons reconsidered
The effective bosonic Hamiltonian for excitons, extensively quoted up to now, cannot be correct because it is (surprisingly) non-Hermitian. The oversight physically originates from the intrinsic
Effective bosonic Hamiltonian for excitons: A too naive concept
Excitons, being made of two fermions, may appear from far as bosons. Their close-to-boson character is however quite tricky to handle properly. Using our commutation technique especially designed to
Strong-coupling limit in the evolution from BCS superconductivity to Bose-Einstein condensation
We consider the problem of the crossover from BCS superconductivity to Bose-Einstein condensation in three dimensions for a system of fermions with an attractive interaction, for which we adopt the
Evolution from BCS superconductivity to Bose condensation: Calculation of the zero-temperature phase coherence length.
TLDR
A fermionic system at zero temperature interacting through an effective nonretarded potential of the type introduced by Nozi\`eres and Schmitt-Rink is considered, and the phase coherence length is calculated by exploiting a functional-integral formulation for the correlation functions and the associated loop expansion.
Europhys. Lett
  • Europhys. Lett
  • 2002
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