Localization-protected order in spin chains with non-Abelian discrete symmetries
We study the nonequilibrium phase structure of the three-state random quantum Potts model in one dimension. This spin chain is characterized by a non-Abelian D 3 symmetry recently argued to be incompatible with the existence of a symmetry-preserving many-body localized (MBL) phase. Using exact dia...
| Main Authors: | , , , |
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| Format: | Journal article |
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American Physical Society
2018
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| _version_ | 1797065167819767808 |
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| author | Friedman, A Vasseur, R Potter, A Parameswaran, S |
| author_facet | Friedman, A Vasseur, R Potter, A Parameswaran, S |
| author_sort | Friedman, A |
| collection | OXFORD |
| description | We study the nonequilibrium phase structure of the three-state random quantum Potts model in one dimension. This spin chain is characterized by a non-Abelian D 3 symmetry recently argued to be incompatible with the existence of a symmetry-preserving many-body localized (MBL) phase. Using exact diagonalization and a finite-size scaling analysis, we find that the model supports two distinct broken-symmetry MBL phases at strong disorder that either break the Z 3 clock symmetry or a Z 2 chiral symmetry. In a dual formulation, our results indicate the existence of a stable finite-temperature topological phase with MBL-protected parafermionic end zero modes. While we find a thermal symmetry-preserving regime for weak disorder, scaling analysis at strong disorder points to an infinite-randomness critical point between two distinct broken-symmetry MBL phases. |
| first_indexed | 2024-03-06T21:24:47Z |
| format | Journal article |
| id | oxford-uuid:42b84218-2aed-4c52-a075-acb8f1885f22 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:24:47Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:42b84218-2aed-4c52-a075-acb8f1885f222022-03-26T14:51:10ZLocalization-protected order in spin chains with non-Abelian discrete symmetriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:42b84218-2aed-4c52-a075-acb8f1885f22Symplectic Elements at OxfordAmerican Physical Society2018Friedman, AVasseur, RPotter, AParameswaran, SWe study the nonequilibrium phase structure of the three-state random quantum Potts model in one dimension. This spin chain is characterized by a non-Abelian D 3 symmetry recently argued to be incompatible with the existence of a symmetry-preserving many-body localized (MBL) phase. Using exact diagonalization and a finite-size scaling analysis, we find that the model supports two distinct broken-symmetry MBL phases at strong disorder that either break the Z 3 clock symmetry or a Z 2 chiral symmetry. In a dual formulation, our results indicate the existence of a stable finite-temperature topological phase with MBL-protected parafermionic end zero modes. While we find a thermal symmetry-preserving regime for weak disorder, scaling analysis at strong disorder points to an infinite-randomness critical point between two distinct broken-symmetry MBL phases. |
| spellingShingle | Friedman, A Vasseur, R Potter, A Parameswaran, S Localization-protected order in spin chains with non-Abelian discrete symmetries |
| title | Localization-protected order in spin chains with non-Abelian discrete symmetries |
| title_full | Localization-protected order in spin chains with non-Abelian discrete symmetries |
| title_fullStr | Localization-protected order in spin chains with non-Abelian discrete symmetries |
| title_full_unstemmed | Localization-protected order in spin chains with non-Abelian discrete symmetries |
| title_short | Localization-protected order in spin chains with non-Abelian discrete symmetries |
| title_sort | localization protected order in spin chains with non abelian discrete symmetries |
| work_keys_str_mv | AT friedmana localizationprotectedorderinspinchainswithnonabeliandiscretesymmetries AT vasseurr localizationprotectedorderinspinchainswithnonabeliandiscretesymmetries AT pottera localizationprotectedorderinspinchainswithnonabeliandiscretesymmetries AT parameswarans localizationprotectedorderinspinchainswithnonabeliandiscretesymmetries |