| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Noncommutative Chern-Simons Description of the Fractional Quantum Hall Edge |
HUANG Wei, WANG Zhao-Long, YAN Mu-Lin |
| Interdisciplinary Center for Theoretical Study, Department of Modern Physics, University of Science and Technology of China, Hefei 230026 |
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| Cite this article: |
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HUANG Wei, WANG Zhao-Long, YAN Mu-Lin 2010 Chin. Phys. Lett. 27 067304 |
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Abstract Noncommutative Chern-Simons (NCCS) theory is a workable description for the fractional quantum Hall fluid. We apply and generalize the NCCS theory to the physically important case with an edge. From relabeling symmetry of electrons and incompressibility of the fluid, we obtain a constraint and reduce the two-dimensional NCCS theory to a one-dimensional chiral Tomonaga-Luttinger liquid theory, which contains additional interaction terms. Further, we calculate one-loop corrections to the boson and electron propagators and obtain a new tunneling exponent, which agrees with experiments.
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| Keywords:
73.43.-f
71.10.Pm
11.10.Nx
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Received: 15 March 2010
Published: 25 May 2010
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| PACS: |
73.43.-f
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(Quantum Hall effects)
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71.10.Pm
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(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
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11.10.Nx
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(Noncommutative field theory)
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