Criterion for Dominance of Directional over Size Fluctuations in Destroying Order

Details Criterion for Dominance of Directional over Size Fluctuations in Destroying Order Criterion for Dominance of Directional over Size Fluctuations in Destroying Order

1999-08-17

arxiv.org/abs/cond-mat/9908239v4

Phys. Rev. Lett. 84 (2000) 286

Physics

Condensed Matter

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://w

Scientific paper

10.1103/PhysRevLett.84.286

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

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