Theory of Transmission through disordered superlattices

Details Theory of Transmission through disordered superlattices Theory of Transmission through disordered superlattices

1999-04-02

arxiv.org/abs/cond-mat/9904046v2

Physical Review B, Vol 60, page 16039 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 6 Figures included into the text. Final version with minor changes. Accepted by Physical Review B

Scientific paper

10.1103/PhysRevB.60.16039

We derive a theory for transmission through disordered finite superlattices in which the interface roughness scattering is treated by disorder averaging. This procedure permits efficient calculation of the transmission thr ough samples with large cross-sections. These calculations can be performed utilizing either the Keldysh or the Landauer-B\"uttiker transmission formalisms, both of which yield identical equations. For energies close to the lowest miniband, we demonstrate the accuracy of the computationally efficient Wannier-function approximation. Our calculations indicate that the transmission is strongly affected by interface roughness and that information about scale and size of the imperfections can be obtained from transmission data.

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