E. Desalvo et R. Girlanda, 2-PHOTON INTERBAND-TRANSITIONS IN CROSSED ELECTRIC AND MAGNETIC-FIELDS IN SEMICONDUCTORS - NONLOCAL EFFECTS, Nuovo cimento della Societa italiana di fisica. D, Condensed matter,atomic, molecular and chemical physics, biophysics, 15(10), 1993, pp. 1321-1329
It is shown that in the presence of a crossed electric and magnetic fi
eld the electronic states of a semiconductor in the effective-mass app
roximation are described by a Hamiltonian containing a non-local poten
tial. In order to preserve the gauge invariance of the two-photon inte
rband transition rate, the interaction Hamiltonian between the electro
ns and the incident radiation has to be generalized. For GaAs, the tra
nsition rate between two particular levels is evaluated in both length
and velocity gauges demonstrating the correctness of our approach.