Ground State Entropy of the Potts Antiferromagnet on Cyclic Strip Graphs

Details Ground State Entropy of the Potts Antiferromagnet on Cyclic Strip Graphs Ground State Entropy of the Potts Antiferromagnet on Cyclic Strip Graphs

1999-03-15

arxiv.org/abs/cond-mat/9903233v1

J. Phys. A (Lett.) 32, L195 (1999)

Physics

Condensed Matter

Statistical Mechanics

7 pages, Latex, 4 figs., J. Phys. A Lett., in press

Scientific paper

10.1088/0305-4470/32/17/102

We present exact calculations of the zero-temperature partition function (chromatic polynomial) and the (exponent of the) ground-state entropy $S_0$ for the $q$-state Potts antiferromagnet on families of cyclic and twisted cyclic (M\"obius) strip graphs composed of $p$-sided polygons. Our results suggest a general rule concerning the maximal region in the complex $q$ plane to which one can analytically continue from the physical interval where $S_0 > 0$. The chromatic zeros and their accumulation set ${\cal B}$ exhibit the rather unusual property of including support for $Re(q) < 0$ and provide further evidence for a relevant conjecture.

Affiliated with

Also associated with

No associations

Rating

Ground State Entropy of the Potts Antiferromagnet on Cyclic Strip Graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ground State Entropy of the Potts Antiferromagnet on Cyclic Strip Graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ground State Entropy of the Potts Antiferromagnet on Cyclic Strip Graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-164828