T = 0 partition functions for Potts antiferromagnets on lattice strips with fully periodic boundary conditions

Shu Chiuan Chang, Robert Shrock

研究成果: Article同行評審

25 引文 斯高帕斯(Scopus)

摘要

We present exact calculations of the zero-temperature partition function for the q-state Potts antiferromagnet (equivalently, the chromatic polynomial) for families of arbitrarily long strip graphs of the square and triangular lattices with width Ly = 4 and boundary conditions that are doubly periodic or doubly periodic with reversed orientation (i.e., of torus or Klein bottle type). These boundary conditions have the advantage of removing edge effects. In the limit of infinite length, we calculate the exponent of the entropy, W(q) and determine the continuous locus B where it is singular. We also give results for toroidal strips involving `crossing subgraphs'; these make possible a unified treatment of torus and Klein bottle boundary conditions and enable us to prove that for a given strip, the locus B is the same for these boundary conditions.

原文English
頁(從 - 到)307-345
頁數39
期刊Physica A: Statistical Mechanics and its Applications
292
發行號1-4
DOIs
出版狀態Published - 2001 三月 15

All Science Journal Classification (ASJC) codes

  • 統計與概率
  • 凝聚態物理學

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