Correlation transitions in the Ising chain with competing short-range and long-range mirror interactions

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We present exact four-spin- and string-correlation functions derived for an Ising chain with competing geometrical nearest-neighbor short-range and mirror-image-type long-range interactions. Unusual [Formula Presented] correlation effects were found, indicating qualitative changes in the behavior of the system in different T domains. These domains are not separated by a sharp, traditional phase transition, but are delimited by a temperature [Formula Presented] at which the exact connected four-spin-correlation function vanishes. At the same [Formula Presented] the pair-correlation function changes its character: The functional form of the correlation length and the nature of the long-range decay are modified.

Original languageEnglish
Pages (from-to)5403-5409
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5
Publication statusPublished - Jan 1 1998


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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