Critical behaviour of the 1D q-state Potts model with long-range interactions

Details Critical behaviour of the 1D q-state Potts model with long-range interactions Critical behaviour of the 1D q-state Potts model with long-range interactions

1993-03-31

arxiv.org/abs/hep-lat/9303016v1

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages plus 4 figures, Latex

Scientific paper

10.1088/0305-4470/26/20/013

The critical behaviour of the one-dimensional q-state Potts model with long-range interactions decaying with distance r as $r^{-(1+\sigma)}$ has been studied in the wide range of parameters $0 < \sigma \le 1$ and $\frac{1}{16} \le q \le 64$. 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.

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