Renormalization flow of the hierarchical Anderson model at weak disorder (Articolo in rivista)

Type
Label
  • Renormalization flow of the hierarchical Anderson model at weak disorder (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevB.89.064201 (literal)
Alternative label
  • Metz, F. L.; Leuzzi, L.; Parisi, G. (2014)
    Renormalization flow of the hierarchical Anderson model at weak disorder
    in Physical review. B, Condensed matter and materials physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Metz, F. L.; Leuzzi, L.; Parisi, G. (literal)
Pagina inizio
  • 064201 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 89 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 8 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 6 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Sapienza University Rome; IPCF-CNR, UOS Roma \"Kerberos\", Università \"La Sapienza\", Piazzale A. Moro 2, I-00185 Rome, Italy Istituto Nazionale di Fisica Nucleare, INFN, Piazzale A. Moro 2, 00185 Rome, Italy (literal)
Titolo
  • Renormalization flow of the hierarchical Anderson model at weak disorder (literal)
Abstract
  • We study the flow of the renormalized model parameters obtained from a sequence of simple transformations of the 1D Anderson model with long-range hierarchical hopping. Combining numerical results with a perturbative approach for the flow equations, we identify three qualitatively different regimes at weak disorder. For a sufficiently fast decay of the hopping energy, the Cauchy distribution is the only stable fixed point of the flow equations, whereas for sufficiently slowly decaying hopping energy the renormalized parameters flow to a delta-peak fixed-point distribution. In an intermediate range of the hopping decay, both fixed-point distributions are stable and the stationary solution is determined by the initial configuration of the random parameters. We present results for the critical decay of the hopping energy separating the different regimes. (literal)
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