Long-range random-field Ising model: Phase transition threshold and equivalence of short and long ranges (Articolo in rivista)

Type
Label
  • Long-range random-field Ising model: Phase transition threshold and equivalence of short and long ranges (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevB.88.224204 (literal)
Alternative label
  • Leuzzi, L.; Parisi, G. (2013)
    Long-range random-field Ising model: Phase transition threshold and equivalence of short and long ranges
    in Physical review. B, Condensed matter and materials physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Leuzzi, L.; Parisi, G. (literal)
Pagina inizio
  • 224204 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 88 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 6 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 22 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Sapienza University Rome; UOS Roma Kerberos, IPCF CNR, I-00185 Rome, Italy; Istituto Nazionale di Fisica Nucleare (literal)
Titolo
  • Long-range random-field Ising model: Phase transition threshold and equivalence of short and long ranges (literal)
Abstract
  • The one-dimensional Ising model in a random field and with power-law decaying ferromagnetic bonds is studied at zero temperature. Comparing the scaling of the energy contributions of the ferromagnetic domain wall flip and of the random field a la Imry-Ma, a threshold value for the power rho of the long-range interaction can be determined, beyond which no critical behavior occurs. The critical threshold value is rho(c) = 3/ 2, at a difference with the zero field model in which rho(c) = 2. This prediction is analyzed by numerical computation of the ground states below, at, and above this threshold value. The analogy between the critical behavior of long-range one-dimensional systems and in short-range D-dimensional systems is investigated. At the critical threshold value of rho, corresponding to the lower critical dimension, numerical evidence is found for a zero temperature transition at a finite critical field. Possible finite size crossover effects are discussed in this case. Some implications for the critical behavior of spin glasses in a field are conjectured. (literal)
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