We present a set of general results on structural features of the q-state Potts model partition function Z(G,q,v) for arbitrary q and temperature Boltzmann variable v for various lattice strips of arbitrarily great width Ly vertices and length Lx vertices, including (i) cyclic and Möbius strips of the square and triangular lattices, and (ii) self-dual cyclic strips of the square lattice. We also present an exact solution for the chromatic polynomial for the cyclic and Möbius strips of the square lattice with width Ly=5 (the greatest width for which an exact solution has been obtained so far for these families). In the Lx→∞ limit, we calculate the ground-state degeneracy per site, W(q) and determine the boundary ℬ across which W(q) is singular in the complex q plane.
|Number of pages||45|
|Journal||Physica A: Statistical Mechanics and its Applications|
|Publication status||Published - 2002 Dec 15|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Condensed Matter Physics