Abstract
A treatment of coherent electron transport in planar media with rough interfaces is developed to first order within the effective-mass approximation. This approach starts with the exact boundary conditions of a single rough interface and derives a perturbational expansion dependent upon the magnitude and slope of the roughness. The first-order results are cast into a convenient transfer-matrix formalism for ease of use and interpretation. The model is derived for the purpose of modeling the effects of interface roughness in epitaxial systems and is demonstrated using double-barrier resonant tunneling devices. \textcopyright{} 1996 The American Physical Society.
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