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