Exact Partition Functions for Potts Antiferromagnets on Cyclic Lattice Strips
| dc.creator | Shrock, Robert | |
| dc.creator | Tsai, Shan-Ho | |
| dc.date | 1999-07-26 | |
| dc.date.accessioned | 2026-07-07T03:14:02Z | |
| dc.date.available | 2026-07-07T03:14:02Z | |
| dc.description | We present exact calculations of the zero-temperature partition function of the $q$-state Potts antiferromagnet on arbitrarily long strips of the square, triangular, and kagomé lattices with width $L_y=2$ or 3 vertices and with periodic longitudinal boundary conditions. From these, in the limit of infinite length, we obtain the exact ground-state entropy $S_0=k_B \ln W$. These results are of interest since this model exhibits nonzero ground state entropy $S_0 > 0$ for sufficiently large $q$ and hence is an exception to the third law of thermodynamics. We also include results for homeomorphic expansions of the square lattice strip. The analytic properties of $W(q)$ are determined and related to zeros of the chromatic polynomial for long finite strips. | |
| dc.description | 27 pages, Latex, 4 postscript figures, Physica A, in press | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9907403 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9907403 | |
| dc.identifier | Physica A275, 429-449 (2000) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29525 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Mathematical Physics | |
| dc.title | Exact Partition Functions for Potts Antiferromagnets on Cyclic Lattice Strips | |
| dc.type | text |