期刊
PHYSICAL REVIEW LETTERS
卷 96, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.96.087202
关键词
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By applying the recently developed nonperturbative functional renormalization group (FRG) approach, we study the interplay between ferromagnetism, quasi-long-range order (QLRO), and criticality in the d-dimensional random-field O(N) model in the whole (N,d) diagram. Even though the dimensional reduction property breaks down below some critical line, the topology of the phase diagram is found similar to that of the pure O(N) model, with, however, no equivalent of the Kosterlitz-Thouless transition. In addition, we obtain that QLRO, namely, a topologically ordered Bragg glass phase, is absent in the 3-dimensional random-field XY model. The nonperturbative results are supplemented by a perturbative FRG analysis to two loops around d=4.
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