G. Czajkowski et A. Tredicucci, MAGNETOEXCITON GROUND-STATE FOR HEAVY-HOLE AND LIGHT-HOLE EXCITONS INANISOTROPIC SEMICONDUCTORS, Nuovo cimento della Societa italiana di fisica. D, Condensed matter,atomic, molecular and chemical physics, biophysics, 15(6), 1993, pp. 927-931
We show how to compute the eigenvalues of an anisotropic Schrodinger e
quation for light- and heavy-hole excitons in the presence of a magnet
ic field using a perturbational approach and a simplified deltalike in
teraction potential. Performing the calculation with a potential appro
priate to bulk GaAs crystal we obtain a simple relation between the bi
nding energy at zero field and the diamagnetic shift at low fields.