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XX0 Heisenberg chain and random walks

✍ Scribed by N. M. Bogoliubov

Publisher
Springer US
Year
2006
Tongue
English
Weight
546 KB
Volume
138
Category
Article
ISSN
1573-8795

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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 appro