Zeros of the Potts model partition function in the large-q limit

Shu Chiuan Chang, Robert Shrock

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)

摘要

We calculate zeros of the q-state Potts model partition function Z(G Λ, q; v) for large q, where v is the temperature variable and GΛ is a section of a lattice Λ with coordination number kΛ and various boundary conditions. Lattice types studied include square, triangular, honeycomb, and kagomé. We show that for large q these zeros take on approximately circular patterns in the complex x Λ plane, where xΛ = v/q 2/kΛ. This generalizes a known result for the square lattice to the other lattices considered.

原文English
頁(從 - 到)979-994
頁數16
期刊International Journal of Modern Physics B
21
發行號7
DOIs
出版狀態Published - 2007 3月 20

All Science Journal Classification (ASJC) codes

  • 統計與非線性物理學
  • 凝聚態物理學

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