Eur. Phys. J. B 31, 517-523 (2003)
https://doi.org/10.1140/epjb/e2003-00061-3

Density expansion of the energy of N close-to-boson excitons

GPS, Université Denis Diderot and Université Pierre et Marie Curie, CNRS, Tour 23, 2 place Jussieu, 75251 Paris Cedex 05, France

Corresponding author: ^a combescot@gps.jussieu.fr

Received: 11 February 2002
Revised: 30 May 2002
Published online: 6 March 2003

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 interacting close-to-boson particles, we here calculate the Hamiltonian expectation value in the N-ground-state-exciton state. Coulomb interaction enters this quantity at first order only by construction; nevertheless, due to Pauli exclusion, subtle many-body effects take place, which give rise to terms in with . An exact procedure to get these density dependent terms is given.