Absence of long-range order in systems with random p-fold anisotropies

A. Aharony

doi:10.1088/0022-3719/14/27/007

Absence of long-range order in systems with random p-fold anisotropies

A. Aharony

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

A random p-fold anisotropy, of the form (n.S)^p (where S is the m-component spin vector, m>1, and n is a unit vector with random directions), is shown to destroy long-range magnetic order for any value of p and dimensionalities d<4. For p>or=3, this happens in spite of the stability of the non-random fixed point. The ferromagnetic phase is replaced, in these cases, by a phase with algebraically decaying correlations and an infinite zero-field susceptibility.

Original language	English
Article number	007
Pages (from-to)	L841-L843
Journal	Journal of Physics C: Solid State Physics
Volume	14
Issue number	27
DOIs	https://doi.org/10.1088/0022-3719/14/27/007
State	Published - 1 Dec 1981
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
General Engineering
General Physics and Astronomy

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AB - A random p-fold anisotropy, of the form (n.S)p (where S is the m-component spin vector, m>1, and n is a unit vector with random directions), is shown to destroy long-range magnetic order for any value of p and dimensionalities d<4. For p>or=3, this happens in spite of the stability of the non-random fixed point. The ferromagnetic phase is replaced, in these cases, by a phase with algebraically decaying correlations and an infinite zero-field susceptibility.

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Absence of long-range order in systems with random p-fold anisotropies

Abstract

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