Quasi-long-range order in the random anisotropy Heisenberg model |
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Authors: | D. E. Feldman |
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Affiliation: | (1) Landau Institute of Theoretical Physics, Russian Academy of Sciences, 142432 Chernogolovka, Moscow Region, Russia |
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Abstract: | The random field and random anisotropy N-vector models are studied with the functional renormalization group in 4−ε dimensions. The random anisotropy Heisenberg (N=3) model has a phase with an infinite correlation length at low temperatures and weak disorder. The correlation function of the magnetization obeys a power law 〈m(r 1)m(r 2)〉∼|r 1−r 2|− 0.62ε. The magnetic susceptibility diverges at low fields as χ∼H −1+0.15ε. In the random field N-vector model the correlation length is finite at arbitrarily weak disorder for any N>3. Pis’ma Zh. éksp. Teor. Fiz. 70, No. 2, 130–135 (25 July 1999) Published in English in the original Russian journal. Edited by Steve Torstveit. |
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