Quantum Hall physics: Hierarchies and conformal field theory techniques
The fractional quantum Hall effect, being one of the most studied phenomena in condensed matter physics during the past 30 years, has generated many ground-breaking new ideas and concepts. Very early on it was realized that the zoo of emerging states of matter would need to be understood in a system...
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| Format: | Journal article |
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American Physical Society
2017
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| _version_ | 1797096564934574080 |
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| author | Simon, S Hansson, T Hermanns, M Viefers, S |
| author_facet | Simon, S Hansson, T Hermanns, M Viefers, S |
| author_sort | Simon, S |
| collection | OXFORD |
| description | The fractional quantum Hall effect, being one of the most studied phenomena in condensed matter physics during the past 30 years, has generated many ground-breaking new ideas and concepts. Very early on it was realized that the zoo of emerging states of matter would need to be understood in a systematic manner. The first attempts to do this, by Haldane and Halperin, set an agenda for further work which has continued to this day. Since that time the idea of hierarchies of quasiparticles condensing to form new states has been a pillar of our understanding of fractional quantum Hall physics. In the 30 years that have passed since then, a number of new directions of thought have advanced our understanding of fractional quantum Hall states and have extended it in new and unexpected ways. Among these directions is the extensive use of topological quantum field theories and conformal field theories, the application of the ideas of composite bosons and fermions, and the study of non-Abelian quantum Hall liquids. This article aims to present a comprehensive overview of this field, including the most recent developments. |
| first_indexed | 2024-03-07T04:43:39Z |
| format | Journal article |
| id | oxford-uuid:d281a375-fca2-4c7a-9f87-624248b97d13 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:43:39Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:d281a375-fca2-4c7a-9f87-624248b97d132022-03-27T08:04:32ZQuantum Hall physics: Hierarchies and conformal field theory techniquesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d281a375-fca2-4c7a-9f87-624248b97d13Symplectic Elements at OxfordAmerican Physical Society2017Simon, SHansson, THermanns, MViefers, SThe fractional quantum Hall effect, being one of the most studied phenomena in condensed matter physics during the past 30 years, has generated many ground-breaking new ideas and concepts. Very early on it was realized that the zoo of emerging states of matter would need to be understood in a systematic manner. The first attempts to do this, by Haldane and Halperin, set an agenda for further work which has continued to this day. Since that time the idea of hierarchies of quasiparticles condensing to form new states has been a pillar of our understanding of fractional quantum Hall physics. In the 30 years that have passed since then, a number of new directions of thought have advanced our understanding of fractional quantum Hall states and have extended it in new and unexpected ways. Among these directions is the extensive use of topological quantum field theories and conformal field theories, the application of the ideas of composite bosons and fermions, and the study of non-Abelian quantum Hall liquids. This article aims to present a comprehensive overview of this field, including the most recent developments. |
| spellingShingle | Simon, S Hansson, T Hermanns, M Viefers, S Quantum Hall physics: Hierarchies and conformal field theory techniques |
| title | Quantum Hall physics: Hierarchies and conformal field theory techniques |
| title_full | Quantum Hall physics: Hierarchies and conformal field theory techniques |
| title_fullStr | Quantum Hall physics: Hierarchies and conformal field theory techniques |
| title_full_unstemmed | Quantum Hall physics: Hierarchies and conformal field theory techniques |
| title_short | Quantum Hall physics: Hierarchies and conformal field theory techniques |
| title_sort | quantum hall physics hierarchies and conformal field theory techniques |
| work_keys_str_mv | AT simons quantumhallphysicshierarchiesandconformalfieldtheorytechniques AT hanssont quantumhallphysicshierarchiesandconformalfieldtheorytechniques AT hermannsm quantumhallphysicshierarchiesandconformalfieldtheorytechniques AT vieferss quantumhallphysicshierarchiesandconformalfieldtheorytechniques |