The difference in the effective mass of the electron in the adjacent layers
of a superlattice, produces a coupling between the electron states. which
are in the parallel and perpendicular directions to the growth axis. In the
presence of a magnetic held, directed normal to the layers, the coupling l
eads to changes in the band structure, and hence changes in the conduction
properties of the superlattice. We examine, in specific, the effect of the
magnetic field on the widths of the subbands, the amplitude of Bloch oscill
ations, the transition from band to hopping conduction, and the criterion f
or observing the quantum Hall effect in a typical superlattice. (C) 2000 El
sevier Science B.V. All rights reserved.