Magnetotransport in Quasilattices

Details Magnetotransport in Quasilattices Magnetotransport in Quasilattices

1998-09-07

arxiv.org/abs/cond-mat/9809114v1

Proceedings of the 6th International Conference on Quasicrystals, Eds. S. Takeuchi and T. Fujiwara (World Scientific, Singapor

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 PostScript figures, uses sprocl.sty (included)

Scientific paper

The dc conductance and the Hall voltage of planar arrays of interconnected quantum wires are calculated numerically. Our systems are derived from finite patches of aperiodic graphs, with completely symmetric scatterers placed on their vertices which are interconnected by ideal quantum wires. Already in a periodic square lattice arrangement, quantum interference effects lead to complicated magnetotransport properties related to the Hofstadter butterfly. For rectangular Fibonacci grids and other quasiperiodic lattices, we obtain still more complex fractal patterns. In particular, irrational ratios of edge lengths and of tile areas in our samples destroy the periodicities with respect to the Fermi wave vector and the magnetic flux, respectively.

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