Universality in Quantum Hall systems: coset construction of incompressible states
Incompressible Quantum Hall fluids (QHF's) can be described in the scaling limit by three-dimensional topological field theories. Thanks to the correspondence between three-dimensional topological field theories and two dimensional chiral conformal field theories (CCFT's), we propose to st...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2001
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| In: |
Journal of statistical physics
Year: 2001, Volume: 103, Issue: 3/4, Pages: 527-567 |
| ISSN: | 1572-9613 |
| DOI: | 10.1023/A:1010389232079 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1023/A:1010389232079 Verlag, Volltext: https://link.springer.com/article/10.1023/A:1010389232079 
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| Author Notes: | Jürg Fröhlich, Bill Pedrini, Christoph Schweigert, and Johannes Walcher |
| Summary: | Incompressible Quantum Hall fluids (QHF's) can be described in the scaling limit by three-dimensional topological field theories. Thanks to the correspondence between three-dimensional topological field theories and two dimensional chiral conformal field theories (CCFT's), we propose to study QHF's from the point of view of CCFT's. We derive consistency conditions and stability criteria for those CCFT's that can be expected to describe a QHF. A general algorithm is presented which uses simple currents to construct interesting examples of such CCFT's. It generalizes the description of QHF's in terms of Quantum Hall lattices. Explicit examples, based on the coset construction, provide candidates for the description of Quantum Hall fluids with Hall conductivity σH=1/2(e2/h), 1/4(e2/h), 3/5(e2/h), (e2/h),... . |
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| Item Description: | Gesehen am 21.02.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1572-9613 |
| DOI: | 10.1023/A:1010389232079 |