Magnetotransport in Quasilattices

dc.creatorGrimm, Uwe
dc.creatorGagel, Florian
dc.creatorSchreiber, Michael
dc.date1998-09-07
dc.date.accessioned2026-07-07T03:11:29Z
dc.date.available2026-07-07T03:11:29Z
dc.descriptionThe 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.
dc.description4 pages, 5 PostScript figures, uses sprocl.sty (included)
dc.identifierhttps://arxiv.org/abs/cond-mat/9809114
dc.identifierhttp://arxiv.org/abs/cond-mat/9809114
dc.identifierProceedings of the 6th International Conference on Quasicrystals, Eds. S. Takeuchi and T. Fujiwara (World Scientific, Singapore, 1998), pp. 188-191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28591
dc.subjectMesoscale and Nanoscale Physics
dc.titleMagnetotransport in Quasilattices
dc.typetext

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