All product eigenstates in Heisenberg models from a graphical construction
Recently, large degeneracy based on product eigenstates has been found in spin ladders, kagome-like lattices, and motif magnetism, connected to spin liquids, anyonic phases, and quantum scars. We unify these systems by a complete classification of product eigenstates of Heisenberg XXZ Hamiltonians w...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.L012008 |
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| _version_ | 1841546910592139264 |
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| author | Felix Gerken Ingo Runkel Christoph Schweigert Thore Posske |
| author_facet | Felix Gerken Ingo Runkel Christoph Schweigert Thore Posske |
| author_sort | Felix Gerken |
| collection | DOAJ |
| description | Recently, large degeneracy based on product eigenstates has been found in spin ladders, kagome-like lattices, and motif magnetism, connected to spin liquids, anyonic phases, and quantum scars. We unify these systems by a complete classification of product eigenstates of Heisenberg XXZ Hamiltonians with Dzyaloshinskii-Moriya interaction on general graphs in the form of Kirchhoff rules for spin supercurrents. By this, we construct spin systems with extensive degree of degeneracy linked to exotic condensates which could be studied in atomic gases and quantum spin lattices. |
| format | Article |
| id | doaj-art-d1349016233f4df2a4cedc9bcbf59a92 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-d1349016233f4df2a4cedc9bcbf59a922025-01-10T15:04:44ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-0171L01200810.1103/PhysRevResearch.7.L012008All product eigenstates in Heisenberg models from a graphical constructionFelix GerkenIngo RunkelChristoph SchweigertThore PosskeRecently, large degeneracy based on product eigenstates has been found in spin ladders, kagome-like lattices, and motif magnetism, connected to spin liquids, anyonic phases, and quantum scars. We unify these systems by a complete classification of product eigenstates of Heisenberg XXZ Hamiltonians with Dzyaloshinskii-Moriya interaction on general graphs in the form of Kirchhoff rules for spin supercurrents. By this, we construct spin systems with extensive degree of degeneracy linked to exotic condensates which could be studied in atomic gases and quantum spin lattices.http://doi.org/10.1103/PhysRevResearch.7.L012008 |
| spellingShingle | Felix Gerken Ingo Runkel Christoph Schweigert Thore Posske All product eigenstates in Heisenberg models from a graphical construction Physical Review Research |
| title | All product eigenstates in Heisenberg models from a graphical construction |
| title_full | All product eigenstates in Heisenberg models from a graphical construction |
| title_fullStr | All product eigenstates in Heisenberg models from a graphical construction |
| title_full_unstemmed | All product eigenstates in Heisenberg models from a graphical construction |
| title_short | All product eigenstates in Heisenberg models from a graphical construction |
| title_sort | all product eigenstates in heisenberg models from a graphical construction |
| url | http://doi.org/10.1103/PhysRevResearch.7.L012008 |
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