A conjecture for the superintegrable chiral Potts model

Details A conjecture for the superintegrable chiral Potts model A conjecture for the superintegrable chiral Potts model

2008-03-28

arxiv.org/abs/0803.4037v4

J. Stat. Phys. 132, 983 (2008)

Physics

Condensed Matter

Statistical Mechanics

19 pages, one figure; Corrections made between 28 March 2008 and 28 April 2008: (1) 2.10: q to p; (2) 3.1: epsilon to 0 (not i

Scientific paper

10.1007/s10955-008-9588-x

We adapt our previous results for the ``partition function'' of the superintegrable chiral Potts model with open boundaries to obtain the corresponding matrix elements of e^{-\alpha H}, where H is the associated hamiltonian. The spontaneous magnetization M_r can be expressed in terms of particular matrix elements of e^{-\alpha H} S^r_1 \e^{-\beta H}, where S_1 is a diagonal matrix.We present a conjecture for these matrix elements as an m by m determinant, where m is proportional to the width of the lattice. The author has previously derived the spontaneous magnetization of the chiral Potts model by analytic means, but hopes that this work will facilitate a more algebraic derivation, similar to that of Yang for the Ising model.

Affiliated with

Also associated with

No associations

Rating

A conjecture for the superintegrable chiral Potts model 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 A conjecture for the superintegrable chiral Potts model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A conjecture for the superintegrable chiral Potts model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173594