1 research outputs found
Self-consistent approach for excitons in quantum wells
We introduce a computationally efficient approach to calculating the
characteristics of excitons in quantum wells. In this approach we derive a
system of self-consistent equations describing the motion of an electron-hole
pair. The motion in the growth direction of the quantum well in this approach
is separated from the in-plane motion, but each of them occurs in modified
potentials found self-consistently. The approach is applied to shallow quantum
wells, for which we obtained an analytical expression for the exciton binding
energy and the ground state eigenfunction. Our results are in excellent
agreement with standard variational calculations, but require greatly reduced
computational effort.Comment: RevTeX4, 13 pages, 4 figures, submitted to Phys. Rev B Changed
content, added references, correct typo