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Long-range order in linear ferromagnetic oscillator systems. Strong pair quadratic n-n potential

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Abstract

Long-range order is proved to exist for lattice linear oscillator systems with ferromagnetic potential energy containing a term with strong nearest-neighbor (n-n) quadratic pair potential. A contour bound and a generalized Peierls argument are used in the proof.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. I. Skrypnik

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  1. V. I. Skrypnik
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 6, pp. 810–817, June, 2004.

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Skrypnik, V.I. Long-range order in linear ferromagnetic oscillator systems. Strong pair quadratic n-n potential. Ukr Math J 56, 964–972 (2004). https://doi.org/10.1007/s11253-005-0089-7

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  • DOI: https://doi.org/10.1007/s11253-005-0089-7

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