arXiv · cond-mat/9503148
FIBONACCI SUPERLATTICES OF NARROW-GAP III-V SEMICONDUCTORS
Abstract
We report theoretical electronic structure of Fibonacci superlattices of narrow-gap III-V semiconductors. Electron dynamics is accurately described within the envelope-function approximation in a two-band model. Quasiperiodicity is introduced by considering two different III-V semiconductor layers and arranging them according to the Fibonacci series along the growth direction. The resulting energy spectrum is then found by solving exactly the corresponding effective-mass (Dirac-like) wave equation using tranfer-matrix techniques. We find that a self-similar electronic spectrum can be seen in the band structure. Electronic transport properties of samples are also studied and related to the degree of spatial localization of electronic envelope-functions via Landauer resistance and Lyapunov coefficient. As a working example, we consider type II InAs/GaSb superlattices and discuss in detail our results in this system.
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F. Dominguez-Adame, E. Macia, B. Mendez, C. L. Roy, A. Khan. 1995-03-28. FIBONACCI SUPERLATTICES OF NARROW-GAP III-V SEMICONDUCTORS. https://doi.org/10.1088/0268-1242%2F10%2F6%2F009
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