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arXiv:hep-lat/9303016 · Journal of Physics A Mathematical and General

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

Z Glumac, Katarina Uzelac

Published Oct 21, 1993• 35 citations
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Abstract

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 <or=1 and 1/16 <or=q<or=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.

DOI
10.1088/0305-4470/26/20/013

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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 <or=1 and 1/16 <or=q<or=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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First-order phase transition in 1d1d1d Potts model with long-range interactions
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