Self-similarity and novel sample-length-dependence of conductance in quasiperiodic lateral magnetic superlattices

Details Self-similarity and novel sample-length-dependence of conductance in quasiperiodic lateral magnetic superlattices Self-similarity and novel sample-length-dependence of conductance in quasiperiodic lateral magnetic superlattices

2001-04-23

arxiv.org/abs/cond-mat/0104442v4

Phys. Rev. B 65, 064207 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 5 figures, revtex, important revisions made. to be published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.65.064207

We study the transport of electrons in a Fibonacci magnetic superlattice produced on a two-dimensional electron gas modulated by parallel magnetic field stripes arranged in a Fibonacci sequence. Both the transmission coefficient and conductance exhibit self-similarity and the six-circle property. The presence of extended states yields a finite conductivity at infinite length, that may be detected as an abrupt change in the conductance as the Fermi energy is varied, much as a metal-insulator transition. This is a unique feature of transport in this new kind of structure, arising from its inherent two-dimensional nature.

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