Lower critical dimension of the XY spin glass

Yukiyasu Ozeki; Hidetoshi Nishimori

doi:10.1103/PhysRevB.46.2879

Lower critical dimension of the XY spin glass

Yukiyasu Ozeki, Hidetoshi Nishimori

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

16 Citations (Scopus)

Abstract

We develop an argument for the absence of spin-glass ordering in short-range vector spin systems with random symmetric exchange interactions in spatial dimension d≤4. The present argument supplements our previous theory; we consider the possibility of divergence in some correlation functions in the limit of small external field. It is also shown that the comment of Schwartz and Young on our previous theory is inappropriate.

Original language	English
Pages (from-to)	2879-2884
Number of pages	6
Journal	Physical Review B
Volume	46
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevB.46.2879
Publication status	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics

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AB - We develop an argument for the absence of spin-glass ordering in short-range vector spin systems with random symmetric exchange interactions in spatial dimension d≤4. The present argument supplements our previous theory; we consider the possibility of divergence in some correlation functions in the limit of small external field. It is also shown that the comment of Schwartz and Young on our previous theory is inappropriate.

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Lower critical dimension of the XY spin glass

Abstract

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