Effective bosonic hamiltonian for excitons : a too naive concept

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Scientific paper

10.1209/epl/i2002-00296-0

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.

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