Strange attractor in the Potts spin glass on hierarchical lattices

@article{Lima2013StrangeAI,
  title={Strange attractor in the Potts spin glass on hierarchical lattices},
  author={Washington de Lima and G. Camelo-Neto and S. Coutinho},
  journal={Physics Letters A},
  year={2013},
  volume={377},
  pages={2851-2855}
}
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CHIRAL SPIN GLASSES, CONTINUUM
CHIRAL SPIN GLASSES, CONTINUUM OF DEVIL’S STAIRCASES, AND THRESHOLDED ROUGHENING FROM FROZEN IMPURITIES TOLGA ÇAĞLAR PhD Dissertation, June 2017 Thesis Supervisor: Prof. A. Nihat Berker

References

SHOWING 1-10 OF 51 REFERENCES
Spin glass phase in the four-state three-dimensional Potts model
We perform numerical simulations, including parallel tempering, a four-state Potts glass model with binary random quenched couplings using the JANUS application-oriented computer. We find and
Universality in short-range Ising spin glasses
Dynamical critical exponents for the mean-field Potts glass.
TLDR
Exploiting a relation between static and equilibrium dynamics which has been recently introduced, the critical slowing down exponents at the dynamical transition are computed with arbitrary precision for any value of the number of colors p.
Mean-field theory and fluctuations in Potts spin glasses. I
A short-range Potts spin glass is studied. A stable, non-marginal, mean-field theory is found with one level of replica symmetry breaking and a discontinuous transition for p>4. A complete stability
Disordered Potts model on the diamond hierarchical lattice: Numerically exact treatment in the large- q limit
We consider the critical behavior of the random $q$-state Potts model in the large-$q$ limit with different types of disorder leading to either the nonfrustrated random ferromagnet regime or the
Potts antiferromagnetic model on a family of fractal lattices: Exact results for an unusual phase.
TLDR
The three-state antiferromagnetic Potts model on a family of bipartite diamond hierarchical lattices exhibits a distinctive low-temperature phase of the type predicted by Berker and Kadanoff for complex systems with a macroscopically degenerate ground state.
Spin-glass in low dimensions and the Migdal-Kadanoff approximation
Mean-field theory of the Potts glass.
Randomly interacting p-state Potts spins may freeze into a Potts-glass phase in which the Potts symmetry is unbroken, on the average. The mean-field theory of this phase transition is presented.
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