Exact Partition Functions for the q-State Potts Model with a Generalized Magnetic Field on Lattice Strip Graphs

Shu Chiuan Chang, Robert Shrock

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

We calculate the partition function of the q-state Potts model on arbitrary-length cyclic ladder graphs of the square and triangular lattices, with a generalized external magnetic field that favors or disfavors a subset of spin values $$\{1,\ldots ,s\}$${1,…,s} with $$s \le q$$s≤q. For the case of antiferromagnet spin–spin coupling, these provide exactly solved models that exhibit an onset of frustration and competing interactions in the context of a novel type of tensor-product $$S_s \otimes S_{q-s}$$Ss⊗Sq-s global symmetry, where $$S_s$$Ss is the permutation group on s objects.

原文English
頁(從 - 到)915-932
頁數18
期刊Journal of Statistical Physics
161
發行號4
DOIs
出版狀態Published - 2015 9月 10

All Science Journal Classification (ASJC) codes

  • 統計與非線性物理學
  • 數學物理學

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