Critical behavior of hierarchical Ising models

Ferenc Igli, Péter Lajk, Ferenc Szalma

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11 Citations (Scopus)


We consider the critical behavior of two-dimensional layered Ising models where the exchange couplings between neighboring layers follow hierarchical sequences. The perturbation caused by the nonperiodicity could be irrelevant, relevant, or marginal. For marginal sequences we have performed a detailed study, which involved analytical and numerical calculations of different surface and bulk critical quantities in the two-dimensional classical as well as in the one-dimensional quantum version of the model. The critical exponents are found to vary continuously with the strength of the modulation, while close to the critical point the system is essentially anisotropic: the correlation length is diverging with different exponents along and perpendicular to the layers.

Original languageEnglish
Pages (from-to)7159-7165
Number of pages7
JournalPhysical Review B
Issue number10
Publication statusPublished - Jan 1 1995


ASJC Scopus subject areas

  • Condensed Matter Physics

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