Theoretical Methods in Low-Dimensional Magnetism and Their Application to 3He Films

Author: Antsygina T.N.  

Publisher: Springer Publishing Company

ISSN: 0022-2291

Source: Journal of Low Temperature Physics, Vol.122, Iss.3-4, 2001-02, pp. : 147-154

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Abstract

Two theoretical methods are proposed to describe analytically the thermodynamics of a two-dimensional quantum Heisenberg ferromagnet on a triangular lattice at all temperatures. The first method is based on the generalization of 2+ɛ-expansion and the second one—on the modified random-phase approximation. In the low-temperature limit both methods yield a correct temperature behavior of thermodynamic functions, which is consistent with Dyson's theory. The obtained results can be used for interpretation of the experimentally observed heat capacity of the second ^3He layer solid in the ferromagnetic regime.