Strong disorder renormalization group on fractal lattices: Heisenberg models and magnetoresistive effects in tight binding models

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dc.creatorMélin, R.
dc.creatorDouçot, B.
dc.creatorIglói, F.
dc.date2005-03-11
dc.date.accessioned2026-07-07T06:33:48Z
dc.date.available2026-07-07T06:33:48Z
dc.descriptionWe use a numerical implementation of the strong disorder renormalization group (RG) method to study the low-energy fixed points of random Heisenberg and tight-binding models on different types of fractal lattices. For the Heisenberg model new types of infinite disorder and strong disorder fixed points are found. For the tight-binding model we add an orbital magnetic field and use both diagonal and off-diagonal disorder. For this model besides the gap spectra we study also the fraction of frozen sites, the correlation function, the persistent current and the two-terminal current. The lattices with an even number of sites around each elementary plaquette show a dominant $ϕ_0=h/e$ periodicity. The lattices with an odd number of sites around each elementary plaquette show a dominant $ϕ_0/2$ periodicity at vanishing diagonal disorder, with a positive weak localization-like magnetoconductance at infinite disorder fixed points. The magnetoconductance with both diagonal and off-diagonal disorder depends on the symmetry of the distribution of on-site energies.
dc.description19 pages, 20 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0503269
dc.identifierhttp://arxiv.org/abs/cond-mat/0503269
dc.identifierPhys. Rev. B72, 024205 (2005)
dc.identifierdoi:10.1103/PhysRevB.72.024205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99315
dc.subjectDisordered Systems and Neural Networks
dc.titleStrong disorder renormalization group on fractal lattices: Heisenberg models and magnetoresistive effects in tight binding models
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