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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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
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author Snir Meiri
Efi Efrati
author_facet Snir Meiri
Efi Efrati
author_sort Snir Meiri
collection DOAJ
description 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.
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spelling doaj.art-cb3657f3a1214f5088832b899ce6e5782024-04-12T17:23:28ZengAmerican Physical SocietyPhysical Review Research2643-15642022-08-014303310410.1103/PhysRevResearch.4.033104Bridging cumulative and noncumulative geometric frustration response via a frustrated N-state spin systemSnir MeiriEfi EfratiThe 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.http://doi.org/10.1103/PhysRevResearch.4.033104
spellingShingle Snir Meiri
Efi Efrati
Bridging cumulative and noncumulative geometric frustration response via a frustrated N-state spin system
Physical Review Research
title Bridging cumulative and noncumulative geometric frustration response via a frustrated N-state spin system
title_full Bridging cumulative and noncumulative geometric frustration response via a frustrated N-state spin system
title_fullStr Bridging cumulative and noncumulative geometric frustration response via a frustrated N-state spin system
title_full_unstemmed Bridging cumulative and noncumulative geometric frustration response via a frustrated N-state spin system
title_short Bridging cumulative and noncumulative geometric frustration response via a frustrated N-state spin system
title_sort bridging cumulative and noncumulative geometric frustration response via a frustrated n state spin system
url http://doi.org/10.1103/PhysRevResearch.4.033104
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