Absence of an intermediate phase for a general class of one-component ferromagnetic models

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Abstract

For a general class of ferromagnetic models of one-component spins it is rigorously shown that (i) the phase transition, at zero magnetic field, occurs directly from the high-temperature phase to the low-temperature regime; (ii) the critical exponent is bounded by its mean-field value, 1/2; (iii) the critical temperature can be rigorously estimated to any desired accuracy, by finite-size calculations; and (iv) Tc depends continuously on the model in domains over which the models satisfy uniformly a new regularity condition.

Original languageEnglish (US)
Pages (from-to)839-842
Number of pages4
JournalPhysical review letters
Volume54
Issue number8
DOIs
StatePublished - Jan 1 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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