Frustrated Potts model: Multiplicity eliminates chaos via reentrance.

Türkoğlu, Alpar; Berker, A Nihat · Phys Rev E · 2020

basic_science · Level V

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Abstract

The frustrated q-state Potts model is solved exactly on a hierarchical lattice, yielding chaos under rescaling, namely, the signature of a spin-glass phase, as previously seen for the Ising (q=2) model. However, the ground-state entropy introduced by the (q>2)-state antiferromagnetic Potts bond induces an escape from chaos as multiplicity q increases. The frustration versus multiplicity phase diagram has a reentrant (as a function of frustration) chaotic phase.