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Journal Articles EPL - Europhysics Letters Year : 2002

The effective bosonic Hamiltonian for excitons reconsidered

Abstract

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 difficulty of properly defining electron-hole interactions between excitons when dealing with exchange terms. By using our commutation technique, we show that the fermionic character of the excitons cannot be forced into a dressed Coulomb interaction only: The effective bosonic Hamiltonian must contain purely fermionic terms of the same order as the Coulomb terms. They are necessary to ensure hermiticity, and they do not reduce to a two-body interaction, Pauli exclusion being N-body by essence.

Dates and versions

hal-00002594 , version 1 (19-08-2004)

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Monique Combescot, Odile Betbeder-Matibet. The effective bosonic Hamiltonian for excitons reconsidered. EPL - Europhysics Letters, 2002, 58, pp.87. ⟨10.1209/epl/i2002-00609-3⟩. ⟨hal-00002594⟩

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