First-order transitions in anisotropic magnets with random fields and random uniaxial anisotropies

Yadin Y. Goldschmidt*, Amnon Aharony

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

49 Scopus citations

Abstract

Long-range magnetic order is known to be replaced by a spin-glass phase for rotationally invariant N-component spin systems with random fields or random uniaxial anisotropies. Using exact calculations in the limit N, we show how long-range order is restored when a uniform anisotropy is added. For a uniaxial anisotropy g, long-range order is achieved above a critical value of g, at which a phase with an infinite susceptibility occurs. For higher-order (e.g., cubic or hexagonal) anisotropies long-range order is reached via first-order transitions. Scaling arguments and explicit calculations are used to obtain detailed predictions on the shape of the various phase boundaries.

Original languageEnglish
Pages (from-to)264-276
Number of pages13
JournalPhysical Review B-Condensed Matter
Volume32
Issue number1
DOIs
StatePublished - 1985

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