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Modified random-phase approximation in the theory of low-dimensional Heisenberg magnets

T. N. AntsyginaB. I. Verkin Physicotechnical Institute of Low Temperatures, Academy of Sciences, 310164, Khar’kov, pr. Lenina, 47V. A. SlyusarevB. I. Verkin Physicotechnical Institute of Low Temperatures, Academy of Sciences, 310164, Khar’kov, pr. Lenina, 47
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Takahashi’s approach for describing one- and two-dimensional magnetic systems is extended with the help of the random-phase approximation. The theory developed makes it possible to describe analytically the behavior of low-dimensional ferro- and antiferromagnets at all temperatures. The results are compared with other approximations.

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