Theory of Tunneling for Rough Junctions
M.B. Walker
TL;DR
This paper derives an exact theoretical framework for tunneling currents in rough junctions, distinguishing between specular and diffuse components, and provides approximate methods to evaluate their magnitudes and angular dependence based on interface statistics.
Contribution
It introduces a formally exact expression for tunneling currents in rough junctions and offers an approximate evaluation method based on interface statistical properties.
Findings
Exact expression for tunneling current with rough interfaces
Approximate evaluation of specular and diffuse components
Angular dependence characterized by interface statistics
Abstract
A formally exact expression for the tunneling current, for its separation into specular and diffuse components, and for its directionality, is given for a thick tunnel junction with rough interfaces in terms of the properties of appropriately defined scattering amplitudes. An approximate evaluation yields the relative magnitudes of the specular and diffuse components, and the angular dependence of the diffuse component, in terms of certain statistical properties of the junction interfaces.
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