A new Q-matrix in the Eight-Vertex Model

Details A new Q-matrix in the Eight-Vertex Model A new Q-matrix in the Eight-Vertex Model

2006-10-17

arxiv.org/abs/cond-mat/0610481v4

J.Phys.A40:4075-4086,2007

Physics

Condensed Matter

Statistical Mechanics

10 pages section on quasiperiodicity added, typo corrected, published version

Scientific paper

10.1088/1751-8113/40/15/002

We construct a $Q$-matrix for the eight-vertex model at roots of unity for crossing parameter $\eta=2mK/L$ with odd $L$, a case for which the existing constructions do not work. The new $Q$-matrix $\Q$ depends as usual on the spectral parameter and also on a free parameter $t$. For $t=0$ $\Q$ has the standard properties. For $t\neq 0$, however, it does not commute with the operator $S$ and not with itself for different values of the spectral parameter. We show that the six-vertex limit of $\Q(v,t=iK'/2)$ exists.

Affiliated with

Also associated with

No associations

Rating

A new Q-matrix in the Eight-Vertex 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 new Q-matrix in the Eight-Vertex Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new Q-matrix in the Eight-Vertex Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390346