Non-trivial fixed point structure of the two-dimensional +-J 3-state Potts ferromagnet/spin glass

Details Non-trivial fixed point structure of the two-dimensional +-J 3-state Potts ferromagnet/spin glass Non-trivial fixed point structure of the two-dimensional +-J 3-state Potts ferromagnet/spin glass

1998-01-07

arxiv.org/abs/cond-mat/9801056v1

Euro. Phys. Lett. 44, 504 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 eps figures, RevTex 3.0 format requires float and epsfig macros

Scientific paper

10.1209/epl/i1998-00502-1

The fixed point structure of the 2D 3-state random-bond Potts model with a bimodal ($\pm$J) distribution of couplings is for the first time fully determined using numerical renormalization group techniques. Apart from the pure and T=0 critical fixed points, two other non-trivial fixed points are found. One is the critical fixed point for the random-bond, but unfrustrated, ferromagnet. The other is a bicritical fixed point analogous to the bicritical Nishimori fixed point found in the random-bond frustrated Ising model. Estimates of the associated critical exponents are given for the various fixed points of the random-bond Potts model.

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