Self-consistent approach for excitons in quantum wells

Details Self-consistent approach for excitons in quantum wells Self-consistent approach for excitons in quantum wells

2003-05-16

arxiv.org/abs/cond-mat/0305405v2

Physica E 25 (2005) 539

Physics

Condensed Matter

Strongly Correlated Electrons

RevTeX4, 13 pages, 4 figures, submitted to Phys. Rev B Changed content, added references, correct typos

Scientific paper

10.1016/j.physe.2004.08.111

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.

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