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New Class of Non-Abelian Spin-Singlet Quantum Hall States
Open accessAbstract
We present a new class of non-Abelian spin-singlet quantum Hall states, generalizing Halperin's Abelian spin-singlet states and the Read-Rezayi non-Abelian quantum Hall states for spin-polarized electrons. We label the states by $(k,M)$ with $M$ odd (even) for fermionic (bosonic) states, and find a filling fraction $\ensuremath{\nu}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}2k/(2kM+3)$. The states with $M\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0$ are bosonic spin-singlet states characterized by a $\mathrm{SU}(3{)}_{k}$ symmetry. We explain how an effective Landau-Ginzburg theory for the $\mathrm{SU}(3{)}_{2}$ state can be constructed. In general, the quasiparticles over these new quantum Hall states carry spin, fractional charge and non-Abelian quantum statistics.
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Cited by
Non-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Read, N. (2009) · Physical Review B · doi:10.1103/physrevb.79.045308 · Cited by 454
From Luttinger liquid to non-Abelian quantum Hall states
Teo, J. C. Y., & Kane, C. L. (2014) · Physical Review B · doi:10.1103/physrevb.89.085101 · Cited by 261
Metadata
- Authors
- Ardonne, E., & Schoutens, K.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-06-21
- Volume
- 82
- Issue
- 25
- Pages
- 5096-5099
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1969456570
- Cited by
- 186
- References
- 0
- FWCI
- 2.92
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Ardonne, E., & Schoutens, K. (1999). New Class of Non-Abelian Spin-Singlet Quantum Hall States. Physical Review Letters. https://doi.org/10.1103/physrevlett.82.5096
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