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Quantum Hall States of High Symmetry | | Chetan Nayak
; Frank Wilczek
; | | Date: |
13 Dec 1994 | | Subject: | cond-mat | | Abstract: | We identify some hidden symmetries of Chern-Simons theories, such as appear in the effective theory for quantized Hall states. This allows us to determine which filling fractions admit spin-singlet quantum Hall states. Our results shed some light on states already observed at $
u=2/3$, and transitions between them. We identify SU(2), or higher, symmetries of many additional states -- including spin-polarized states. Our symmetries classify low-lying excited states and may be of use in the construction of trial wavefunctions, but are typically not present in the edge theory, where they are lifted by non-universal couplings. | | Source: | arXiv, cond-mat/9501052 | | Services: | Forum | Review | PDF | Favorites | |
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