期刊
PHYSICAL REVIEW LETTERS
卷 112, 期 9, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.112.097201
关键词
-
资金
- Department of Energy [DE-FG02-93ER45487]
- U.S. Department of Energy (DOE) [DE-FG02-93ER45487] Funding Source: U.S. Department of Energy (DOE)
We consider an n-component fixed-length order parameter interacting with a weak random field in d = 1, 2, 3 dimensions. Relaxation from the initially ordered state and spin-spin correlation functions are studied on lattices containing hundreds of millions of sites. At n <= d the presence of topological defects leads to strong metastability and glassy behavior, with the final state depending on the initial condition. At n = d + 1, when topological structures are nonsingular, the system possesses a weak metastability. At n > d + 1, when topological objects are absent, the final, lowest-energy state is independent of the initial condition. It is characterized by the exponential decay of correlations that agrees quantitatively with the theory based upon the Imry-Ma argument.
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