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On the internal fields in vector spin glasses

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Published under licence by IOP Publishing Ltd
, , Citation T A Kaplan and N d'Ambrumenil 1982 J. Phys. C: Solid State Phys. 15 3769 DOI 10.1088/0022-3719/15/17/014

This article is corrected by 1982 J. Phys. C: Solid State Phys. 15 5535

0022-3719/15/17/3769

Abstract

It is shown rigorously that for isotropic classical vector spin models the internal field hi at every non-isolated spin i is non-zero when the spin state is a local minimum; this result is proved for general isotropic exchange interactions. For Heisenberg spins, lower bounds on mod hi mod are obtained, which when applied to the nearest-neighbour +or-J0 model give a non-zero lower limit on mod hi mod .

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10.1088/0022-3719/15/17/014