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Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2008

Closure relations for composite bosons: Difference between polaritons and Wannier or Frenkel excitons

Résumé

We derive the closure relation for N polaritons made of three different types of excitons: bosonized excitons, Frenkel, or Wannier excitons. In the case of polaritons made of Wannier excitons, we show how this closure relation, which appears as nondiagonal, may reduce to the one of N elementary bosons, the photons, with its 1/N! prefactor, or to the one of N Wannier excitons, with its (1/N!)(2) prefactor. Widely different forms of closure relations are thus found depending on the composite bosons at hand. Comparison with closure relations of excitons, either bosonized or kept composite as Frenkel or Wannier excitons, allows us to discuss the influence of a reduction in the number of internal degrees of freedom, as well as the importance of the composite nature of the particles and the existence of fermionic components.

Dates et versions

hal-01287872 , version 1 (14-03-2016)

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M. Combescot, M. A. Dupertuis. Closure relations for composite bosons: Difference between polaritons and Wannier or Frenkel excitons. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2008, 78 (23), pp.235303. ⟨10.1103/PhysRevB.78.235303⟩. ⟨hal-01287872⟩
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