On the phase diagram of the discrete $Z_6$ spin models

Abstract

We point out some problems with the previously-proposed phase diagram of the $Z_6$ spin models. Consideration of the diagram near to the decoupling surface using both exact and approximate arguments suggests a modification which remedies these deficiencies. With the aid of a new parametrisation of the phase space, we study the models numerically, with results which support our conjectures.

10 pages, Latex 2e, 4 figures, uses epsf, amssymb, cite

References in corpus (2)

• Integrability of Coupled Conformal Field Theories
• Non-Abelian Bosonization and Haldane's Conjecture

Cited by in corpus (5)

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• Liouville field theory coupled to a critical Ising model: Non-perturbative analysis, duality and applications
• Melting of three-sublattice order in triangular lattice Ising antiferromagnets: Power-law order, $Z_6$ parafermionic multicriticality, and weakly first order transitions
• Tunneling between coupled Luttinger liquids