ar X iv : h ep - l at / 9 30 30 16 v 1 3 1 M ar 1 99 3 Critical behaviour of the 1 D q - state Potts model with long - range interactions
نویسنده
چکیده
The critical behaviour of the one-dimensional q-state Potts model with long-range interactions decaying with distance r as r −(1+σ) has been studied in the wide range of parameters 0 < σ ≤ 1 and 1 16 ≤ q ≤ 64. A transfer matrix has been constructed for a truncated range of interactions for integer and continuous q, and finite range scaling has been applied. Results for the phase diagram and the correlation length critical exponent are presented.
منابع مشابه
ar X iv : h ep - t h / 93 03 11 8 v 1 2 0 M ar 1 99 3 YCTP - P 44 - 92 December 1992 USC - 93 - 013 Fused Potts Models
Generalizing the mapping between the Potts model with nearest neighbour interaction and the six vertex model, we build a family of " fused Potts models " related to the spin k/2 Uqsu(2) invariant vertex model and quantum spin chain. These Potts models have still variables taking values 1,. .. , Q (√ Q = q + q −1) but they have a set of complicated multi spin interactions. The general technique ...
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