Effective bosonic hamiltonian for excitons : a too naive concept

Abstract

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 deal with interacting close-to-boson particles, we here calculate the exact expansion in Coulomb interaction of theexciton-exciton correlations, and show that a naive effective bosonic hamiltonian for excitons cannot produce these X-X correlations correctly.

References in corpus (2)

• The Effective Bosonic Hamiltonian for Excitons Reconsidered
• Commutation technique for interacting close-to-boson excitons

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• Faraday rotation in photoexcited semiconductors: an excitonic many-body effect
• Scattering rates and lifetime of exact and boson excitons
• Many-body effects between unbosonized excitons
• The trion: two electrons plus one hole versus one electron plus one exciton
• Excitons dressed by a sea of excitons