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Magnetic properties of 3He on the recursive lattices

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Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

We considered the Heisenberg model on the recursive lattices with multi-spin interaction in a strong magnetic field as an approximation of the two-dimensional kagome lattice, as well as hexagonal recursive lattices as an approximation of triangular lattice, for solid 3He. In a strong magnetic field it is possible to approximate the Heisenberg model with the Izing one. Using dynamic approach, we obtain exact recursion relations for partition functions. Diagrams of the magnetization versus external magnetic field with different spin-exchange parameters and temperatures are presented. Magnetization plateaux, bifurcation points, and doublings are obtained.

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Authors and Affiliations

  1. Yerevan Physics Institute, Russia

    L. N. Ananikian

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  1. L. N. Ananikian
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Original Russian Text © L.N. Ananikian, 2007, published in Izvestiya NAN Armenii, Fizika, 2007, Vol. 42, No. 1, pp. 17–23.

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Ananikian, L.N. Magnetic properties of 3He on the recursive lattices. J. Contemp. Phys. 42, 11–15 (2007). https://doi.org/10.3103/S1068337207010033

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  • DOI: https://doi.org/10.3103/S1068337207010033

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