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math-phDec 10, 2010
13
citations (OpenAlex)
authors
  • Yacine Ikhlef
institutions
  • University of Geneva
arXiv abstractPDF
paper

The antiferromagnetic Potts model

arXiv:1012.2380 · doi:10.1142/S0217984911025766

Abstract

We review the exact results on the various critical regimes of the antiferromagnetic Q-state Potts model. We focus on the Bethe Ansatz approach for generic Q, and describe in each case the effective degrees of freedom appearing in the continuum limit.

23 pages, 5 figures

References in corpus (2)

  • The Z2​ staggered vertex model and its applications
  • SLE in self-dual critical Z(N) spin systems: CFT predictions

Cited by in corpus (9)

  • Phase Diagram of an Integrable Alternating Uq​[sl(2∣1)] Superspin Chain
  • Odd q-State Clock Spin-Glass Models in Three Dimensions, Asymmetric Phase Diagrams, and Multiple Algebraically Ordered Phases
  • Classifying Potts critical lines
  • Devil's Staircase Continuum in the Chiral Clock Spin Glass with Competing Ferromagnetic-Antiferromagnetic and Left-Right Chiral Interactions
  • Q-colourings of the triangular lattice: Exact exponents and conformal field theory
  • Particles, conformal invariance and criticality in pure and disordered systems
  • Entanglement entropy and massless phase in the antiferromagnetic three-state quantum chiral clock model
  • Zipf's law and phase transition
  • Critical points in coupled Potts models and correlated percolation
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