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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.033104 |
| _version_ | 1827285487193161728 |
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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. |
| first_indexed | 2024-04-24T10:14:22Z |
| format | Article |
| id | doaj.art-cb3657f3a1214f5088832b899ce6e578 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:14:22Z |
| publishDate | 2022-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| 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 |
| work_keys_str_mv | AT snirmeiri bridgingcumulativeandnoncumulativegeometricfrustrationresponseviaafrustratednstatespinsystem AT efiefrati bridgingcumulativeandnoncumulativegeometricfrustrationresponseviaafrustratednstatespinsystem |