An attempt is made to study the Einstein relation for the diffusivity–mobility ratio
(DMR) in quantum wells (QWs) and quantum well wires (QWWs) of tetragonal
compounds on the basis of a newly formulated electron energy spectrum taking
into account the combined influences of the anisotropies in the effective electron
mass, the spin–orbit splitting and the presence of crystal field splitting. The
corresponding results for QWs and QWWs of III–V compounds form a special case of
our generalized analysis. The DMR has also been studied for QWs and QWWs
of II–VI and IV–VI materials. It has been found, taking QWs and QWWs of
CdGeAs2, InAs, CdS and PbSe as examples, that the DMR increases with increasing carrier
degeneracy and decreasing film thickness in various oscillatory manners, emphasizing the
influence of dimensional quantization and the energy band constants in different cases. An
experimental method for determining the DMR in QWs and QWWs having arbitrary
dispersion laws has also been suggested and the present simplified analysis is in agreement
with the suggested relationship. The well-known results for QWs and QWWs
of relatively wide gap materials having parabolic energy bands have also been
obtained as special cases from this generalized analysis under certain limiting
conditions.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.