Classical topological paramagnetism
Topological phases of matter are one of the hallmarks of quantum condensed matter physics. One of their striking features is a bulk-boundary correspondence wherein the topological nature of the bulk manifests itself on boundaries via exotic massless phases. In classical wave phenomena analogous effe...
| Main Authors: | , |
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| Format: | Journal article |
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American Physical Society
2017
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| _version_ | 1797057732411392000 |
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| author | Bondesan, R Zohar Ringel, Z |
| author_facet | Bondesan, R Zohar Ringel, Z |
| author_sort | Bondesan, R |
| collection | OXFORD |
| description | Topological phases of matter are one of the hallmarks of quantum condensed matter physics. One of their striking features is a bulk-boundary correspondence wherein the topological nature of the bulk manifests itself on boundaries via exotic massless phases. In classical wave phenomena analogous effects may arise; however, these cannot be viewed as equilibrium phases of matter. Here we identify a set of rules under which robust equilibrium classical topological phenomena exist. We write down simple and analytically tractable classical lattice models of spins and rotors in two and three dimensions which, at suitable parameter ranges, are paramagnetic in the bulk but nonetheless exhibit some unusual long-range or critical order on their boundaries. We point out the role of simplicial cohomology as a means of classifying, writing-down, and analyzing such models. This opens a new experimental route for studying strongly interacting topological phases of spins. |
| first_indexed | 2024-03-06T19:40:36Z |
| format | Journal article |
| id | oxford-uuid:208ac6e0-06e5-42d5-8c09-efb3987b950f |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:40:36Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:208ac6e0-06e5-42d5-8c09-efb3987b950f2022-03-26T11:28:08ZClassical topological paramagnetismJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:208ac6e0-06e5-42d5-8c09-efb3987b950fSymplectic Elements at OxfordAmerican Physical Society2017Bondesan, RZohar Ringel, ZTopological phases of matter are one of the hallmarks of quantum condensed matter physics. One of their striking features is a bulk-boundary correspondence wherein the topological nature of the bulk manifests itself on boundaries via exotic massless phases. In classical wave phenomena analogous effects may arise; however, these cannot be viewed as equilibrium phases of matter. Here we identify a set of rules under which robust equilibrium classical topological phenomena exist. We write down simple and analytically tractable classical lattice models of spins and rotors in two and three dimensions which, at suitable parameter ranges, are paramagnetic in the bulk but nonetheless exhibit some unusual long-range or critical order on their boundaries. We point out the role of simplicial cohomology as a means of classifying, writing-down, and analyzing such models. This opens a new experimental route for studying strongly interacting topological phases of spins. |
| spellingShingle | Bondesan, R Zohar Ringel, Z Classical topological paramagnetism |
| title | Classical topological paramagnetism |
| title_full | Classical topological paramagnetism |
| title_fullStr | Classical topological paramagnetism |
| title_full_unstemmed | Classical topological paramagnetism |
| title_short | Classical topological paramagnetism |
| title_sort | classical topological paramagnetism |
| work_keys_str_mv | AT bondesanr classicaltopologicalparamagnetism AT zoharringelz classicaltopologicalparamagnetism |