TY - JOUR
T1 - Exact partition function for the Potts model with next-nearest neighbor couplings on arbitrary-length ladders
AU - Chang, Shu Chiuan
AU - Shrock, Robert
N1 - Funding Information:
The research of R.S. was supported in part at Stony Brook by the U.S. NSF grant PHY-97-22101 and at Brookhaven by the U.S. DOE contract DE-AC02-98CH10886.c
PY - 2001/2/20
Y1 - 2001/2/20
N2 - We present exact calculations of partition function Z of the q-state Potts model with next-nearest-neighbor spin-spin couplings, both for the ferromagnetic and antiferromagnetic case, for arbitrary temperature, on n-vertex ladders with free, cyclic, and Möbius longitudinal boundary conditions. The free energy is calculated exactly for the infinite-length limit of these strip graphs and the thermodynamics is discussed. Considering the full generalization to arbitrary complex q and temperature, we determine the singular locus B in the corresponding C2 space, arising as the accumulation set of partition function zeros as n → ∞.
AB - We present exact calculations of partition function Z of the q-state Potts model with next-nearest-neighbor spin-spin couplings, both for the ferromagnetic and antiferromagnetic case, for arbitrary temperature, on n-vertex ladders with free, cyclic, and Möbius longitudinal boundary conditions. The free energy is calculated exactly for the infinite-length limit of these strip graphs and the thermodynamics is discussed. Considering the full generalization to arbitrary complex q and temperature, we determine the singular locus B in the corresponding C2 space, arising as the accumulation set of partition function zeros as n → ∞.
UR - https://www.scopus.com/pages/publications/0035916603
UR - https://www.scopus.com/pages/publications/0035916603#tab=citedBy
U2 - 10.1142/S0217979201004630
DO - 10.1142/S0217979201004630
M3 - Article
AN - SCOPUS:0035916603
SN - 0217-9792
VL - 15
SP - 443
EP - 478
JO - International Journal of Modern Physics B
JF - International Journal of Modern Physics B
IS - 5
ER -