期刊
PHYSICAL REVIEW LETTERS
卷 93, 期 26, 页码 -出版社
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.93.267008
关键词
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We develop a nonperturbative functional renormalization group approach for the random-field O(N) model that allows us to investigate the ordering transition in any dimension and for any value of N including the Ising case. We show that the failure of dimensional reduction and standard perturbation theory is due to the nonanalytic nature of the zero-temperature fixed point controlling the critical behavior, nonanalyticity, which is associated with the existence of many metastable states. We find that this nonanalyticity leads to critical exponents differing from the dimensional reduction prediction only below a critical dimension d(c)(N)<6, with d(c)(N=1)>3.
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