Publication: Effects of the electronic structure on the dc conductance of Fibonacci superlattices
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ISSN: 1098-0121 (print version)
ISSN: 1550-235X (online version)
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1994-04-01
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American Physical Society
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Abstract
We derive a discrete Hamiltonian describing a Fibonacci superlattice in which the electronic potential
is taken to be an array of equally spaced 0 potentials, whose strengths modulate the chemical
composition in the growth direction. In this model both diagonal and off-diagonal elements of the
Hamiltonian matrix become mutually related through the potential strengths. The corresponding
energy spectrum and related magnitudes, such as the Lyapunovcoefficient, transmission coefficient,
and Landauer resistance, exhibit a highly fragmented, self-similar nature. We investigate the influence
of the underlying spectrum structure on the dc conductance at different temperatures obtaining
analytical expressions which relate special features of the dc conductance with certain parameters
that characterize the electronic spectrum of Fibonacci superlattices.
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Bibliographic citation
Physical Review B, vol. 49, n. 14, 1 apr. 1994. Pp. 9503–9510