Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-03-11
Phys. Rev. B72, 024205 (2005)
Physics
Condensed Matter
Disordered Systems and Neural Networks
19 pages, 20 figures
Scientific paper
10.1103/PhysRevB.72.024205
We 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 $\phi_0=h/e$ periodicity. The lattices with an odd number of sites around each elementary plaquette show a dominant $\phi_0/2$ 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.
Doucot Benoit
Igloi Ferenc
Mélin Régis
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