Frustrated Potts: Multiplicity Eliminates Chaos via Reentrance
Alpar Turkoglu, A. Nihat Berker
TL;DR
This paper provides an exact solution for the frustrated q-state Potts model on a hierarchical lattice, revealing how increasing state multiplicity can suppress chaos and lead to reentrant phase behavior.
Contribution
It introduces an exact analysis of the frustrated Potts model, showing how multiplicity q influences chaos and phase reentrance, extending understanding beyond the Ising case.
Findings
Chaos appears in the q=2 case but is suppressed as q increases.
Ground-state entropy from higher q induces escape from chaos.
Reentrant phase diagram as a function of frustration.
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.
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