Non-trivial fixed-point structure of the two-dimensional ±J 3-state Potts ferromagnet/spin glass
Abstract
The fixed-point structure of the 2D 3-state random-bond Potts model with a bimodal (±J) distribution of couplings is fully determined using numerical renormalization group techniques. Along the paramagnet-to-ferromagnet critical line we find a total of four distinct fixed points: i) the pure critical fixed point, ii) the critical fixed point for the random-bond, but unfrustrated, ferromagnet, iii) a bicritical fixed point analogous to the bicritical Nishimori fixed point found in the random-bond frustrated Ising model, and iv) the zero-temperature spin-glass to ferromagnet critical fixed point. Estimates of the associated critical exponents are given for the various fixed points.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- November 1998
- DOI:
- 10.1209/epl/i1998-00502-1
- arXiv:
- arXiv:cond-mat/9801056
- Bibcode:
- 1998EL.....44..504S
- Keywords:
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- 75.10.Nr;
- 05.70.Fh;
- 75.10.Hk;
- Spin-glass and other random models;
- Phase transitions: general studies;
- Classical spin models;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 4 pages, 2 eps figures, RevTex 3.0 format requires float and epsfig macros