RT Journal Article
T1 Transfer matrices and partition-function zeros for antiferromagnetic Potts models. V. Further results for the square-lattice chromatic polynomial
A1 Salas Martínez, Jesús
A1 Sokal, Alan D.
AB We derive some new structural results for the transfer matrix of square-lattice Potts models with free and cylindrical boundary conditions. In particular, we obtain explicit closed-form expressions for the dominant (at large |q|) diagonal entry in the transfer matrix, for arbitrary widths m, as the solution of a special one-dimensional polymer model. We also obtain the large-q expansion of the bulk and surface (resp. corner) free energies for the zero-temperature antiferromagnet (= chromatic polynomial) through order q −47 (resp. q −46). Finally, we compute chromatic roots for strips of widths 9≤m≤12 with free boundary conditions and locate roughly the limiting curves.
PB Springer
SN 0022-4715
YR 2009
FD 2009-04
LK https://hdl.handle.net/10016/33063
UL https://hdl.handle.net/10016/33063
LA eng
DS e-Archivo
RD 27 jul. 2024