Nh. Kwong et al., Evidence of nonperturbative continuum correlations in two-dimensional exciton systems in semiconductor microcavities - art. no. 027402, PHYS REV L, 8702(2), 2001, pp. 7402-NIL_98
In nonlinear semiconductor optics, two-particle scattering is often being m
odeled successfully within the second Born approximation (2nd BA) of the Co
ulomb interaction. It is shown in this paper that, at low energies, such a
perturbative treatment of Coulomb correlations applied to exciton-exciton s
cattering in two-dimensional systems fails even qualitatively (unless pheno
menological or self-consistent dephasing processes are included in the theo
ry). We show that the failure of the 2nd BA in two dimensions can be inferr
ed from a comparison of our theoretical results with reported experiments o
f four-wave mixing signals from semiconductor microcavities.