Large-n limit of the Heisenberg model: Random external field and random uniaxial anisotropy |
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Authors: | B. A. Khoruzhenko |
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Affiliation: | (1) Mathematical Division of the Institute for Low Temperature Physics and Engineering of the Academy of Sciences of the Ukrainian SSR, 310164 Kharkov, USSR |
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Abstract: | The thermodynamic equivalence of the large-n limit of then-vector model in a random external field and the corresponding disordered spherical model is proved. An analytic expression for the free energy and a phase diagram of the large-n limit of then-vector model with random uniaxial anisotropy are obtained by rigorous argument. The ferromagnetic order in the large-n limit is proved to be stable against the switching on of an arbitrarily small random anisotropy. |
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Keywords: | Random spin systems ferromagnetic order |
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