Goldstone modes in the emergent gauge fields of a frustrated magnet
We consider magnon excitations in the spin-glass phase of geometrically frustrated antiferromagnets with weak exchange disorder, focusing on the nearest-neighbor pyrochlore-lattice Heisenberg model at large spin. The low-energy degrees of freedom in this system are represented by three copies of a U...
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Format: | Journal article |
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American Physical Society
2020
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_version_ | 1826256998740525056 |
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author | Garratt, SJ Chalker, JT |
author_facet | Garratt, SJ Chalker, JT |
author_sort | Garratt, SJ |
collection | OXFORD |
description | We consider magnon excitations in the spin-glass phase of geometrically frustrated antiferromagnets with weak exchange disorder, focusing on the nearest-neighbor pyrochlore-lattice Heisenberg model at large spin. The low-energy degrees of freedom in this system are represented by three copies of a U(1) emergent gauge field, related by global spin-rotation symmetry. We show that the Goldstone modes associated with spin-glass order are excitations of these gauge fields, and that the standard theory of Goldstone modes in Heisenberg spin glasses (due to Halperin and Saslow) must be modified in this setting. |
first_indexed | 2024-03-06T18:11:10Z |
format | Journal article |
id | oxford-uuid:03113e51-4440-4d5e-bb51-843e73115f34 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T18:11:10Z |
publishDate | 2020 |
publisher | American Physical Society |
record_format | dspace |
spelling | oxford-uuid:03113e51-4440-4d5e-bb51-843e73115f342022-03-26T08:44:04ZGoldstone modes in the emergent gauge fields of a frustrated magnetJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:03113e51-4440-4d5e-bb51-843e73115f34EnglishSymplectic ElementsAmerican Physical Society2020Garratt, SJChalker, JTWe consider magnon excitations in the spin-glass phase of geometrically frustrated antiferromagnets with weak exchange disorder, focusing on the nearest-neighbor pyrochlore-lattice Heisenberg model at large spin. The low-energy degrees of freedom in this system are represented by three copies of a U(1) emergent gauge field, related by global spin-rotation symmetry. We show that the Goldstone modes associated with spin-glass order are excitations of these gauge fields, and that the standard theory of Goldstone modes in Heisenberg spin glasses (due to Halperin and Saslow) must be modified in this setting. |
spellingShingle | Garratt, SJ Chalker, JT Goldstone modes in the emergent gauge fields of a frustrated magnet |
title | Goldstone modes in the emergent gauge fields of a frustrated magnet |
title_full | Goldstone modes in the emergent gauge fields of a frustrated magnet |
title_fullStr | Goldstone modes in the emergent gauge fields of a frustrated magnet |
title_full_unstemmed | Goldstone modes in the emergent gauge fields of a frustrated magnet |
title_short | Goldstone modes in the emergent gauge fields of a frustrated magnet |
title_sort | goldstone modes in the emergent gauge fields of a frustrated magnet |
work_keys_str_mv | AT garrattsj goldstonemodesintheemergentgaugefieldsofafrustratedmagnet AT chalkerjt goldstonemodesintheemergentgaugefieldsofafrustratedmagnet |