Scattering rates and lifetime of exact and boson excitons
release_sxis7264cvfhjoj7t4gwtmun5i
by
M.Combescot,
O.Betbeder-Matibet
2004
Abstract
Although excitons are not exact bosons, they are commonly treated as such
provided that their composite nature is included in effective scatterings
dressed by exchange. We here prove that, whatever these
scatterings are, they cannot give both the scattering rates T_ij^-1 and
the exciton lifetime τ_0, correctly: A striking factor 1/2 exists between
τ_0^-1 and the sum of T_ij^-1's, which originates from the
composite nature of excitons, irretrievably lost when they are bosonized. This
result, which appears as very disturbing at first, casts major doubts on
bosonization for problems dealing with interacting excitons.
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