Heisenberg model and a random walk on the permutation group

Heisenberg model and a random walk on the permutation group
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海森堡模型和排列群上的随机游走

DOI:
10.1007/bf00398374
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发表时间:
1976
影响因子:
1.2
通讯作者:
R. Powers
R. Powers
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
R. Powers

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结果表明,各向同性Heisenberg模型可以用置换群上的随机游动来分析。这种方法直观地解释了为什么海森堡模型在三维而不是在二维和一维上表现出长程有序或铁磁行为。海森伯格模型的这种方法适合于计算机分析。
It is shown that the isotropic Heisenberg model can be analysed in terms of a random walk on the permutation group. This approach makes it intuitively clear why the Heisenberg model exhibits long range order or ferrogmagnetic behavior in three dimensions and not in two and one dimensions. This approach to the Heisenberg model lends itself to computer analysis.