Bridging cumulative and noncumulative geometric frustration response via a frustrated N-state spin system

The resolution of geometric frustration in systems with continuous degrees of freedom often involves a cooperative inhomogeneous response and superextensive energy scaling. In contrast, the frustration in frustrated Ising-like spin systems is resolved uniformly. In this work we bridge between these...

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Bibliographic Details
Main Authors: Snir Meiri, Efi Efrati
Format: Article
Language:English
Published: American Physical Society 2022-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.033104
Description
Summary:The resolution of geometric frustration in systems with continuous degrees of freedom often involves a cooperative inhomogeneous response and superextensive energy scaling. In contrast, the frustration in frustrated Ising-like spin systems is resolved uniformly. In this work we bridge between these two extremes by studying a frustrated model composed of N-state spins, and varying N. The expected cooperative response, observed for large N, is strongly attenuated as N is reduced, in a nontrivial way. Moderate N values show unique topological-like phases not observed before in frustrated models.
ISSN:2643-1564