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Phys. Rev. Lett. 84, 286–289 (2000)

Criterion for Dominance of Directional over Size Fluctuations in Destroying Order

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H. Kleinert
Freie Universität Berlin, Institut für Theoretische Physik, Arnimallee 14, D-14195 Berlin, Germany

Received 17 August 1999; published in the issue dated 10 January 2000

For systems that exhibit a second-order phase transition with a spontaneously broken continuous O(N) symmetry at low temperatures, we give a criterion for judging at which temperature TK long-range directional fluctuations of the order field destroy the order when approaching the critical temperature from below. The temperature TK lies always significantly below the famous Ginzburg temperature TG at which size fluctuations of finite range become important.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.286
DOI:
10.1103/PhysRevLett.84.286
PACS:
05.40.-a, 64.60.-i