Critical Study of Hierarchical Lattice Renormalization Group in Magnetic Ordered and Quenched Disordered Systems: Ising and Blume-Emery-Griffiths Models (Articolo in rivista)

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  • Critical Study of Hierarchical Lattice Renormalization Group in Magnetic Ordered and Quenched Disordered Systems: Ising and Blume-Emery-Griffiths Models (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s10955-014-0977-z (literal)
Alternative label
  • F. Antenucci (1,2); A. Crisanti (1,3); L. Leuzzi (1,2) (2014)
    Critical Study of Hierarchical Lattice Renormalization Group in Magnetic Ordered and Quenched Disordered Systems: Ising and Blume-Emery-Griffiths Models
    in Journal of statistical physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • F. Antenucci (1,2); A. Crisanti (1,3); L. Leuzzi (1,2) (literal)
Pagina inizio
  • 909 (literal)
Pagina fine
  • 931 (literal)
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  • Date: 28 Mar 2014. (literal)
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  • http://link.springer.com/article/10.1007%2Fs10955-014-0977-z (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 155 (literal)
Rivista
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  • 23 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 5 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1) Dipartimento di Fisica, Università Sapienza, P.le Aldo Moro 2, 00185 Rome, Italy (2) IPCF-CNR, UOS Roma Kerberos, P.le Aldo Moro 2, 00185 Rome, Italy (3) ISC-CNR, UOS Sapienza, P.le Aldo Moro 2, 00185 Rome, Italy (literal)
Titolo
  • Critical Study of Hierarchical Lattice Renormalization Group in Magnetic Ordered and Quenched Disordered Systems: Ising and Blume-Emery-Griffiths Models (literal)
Abstract
  • Renormalization group based on the Migdal-Kadanoff bond removal approach is often considered a simple and valuable tool to understand the critical behavior of complicated statistical mechanical models. In presence of quenched disorder, however, predictions obtained with the Migdal-Kadanoff bond removal approach quite often fail to quantitatively and qualitatively reproduce critical properties obtained in the mean-field approximation or by numerical simulations in finite dimensions. In an attempt to overcome this limitation we analyze the behavior of Ising and Blume-Emery-Griffiths models on more structured hierarchical lattices. We find that, apart from some exceptions, the failure is not limited to Midgal-Kadanoff cells but originates right from the hierarchization of Bravais lattices on small cells, and shows up also when in-cell loops are considered. (literal)
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