The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
Particle-Hole Symmetry and theν=52Quantum Hall State
Open accessAbstract
We discuss the implications of approximate particle-hole symmetry in a half-filled Landau level in which a paired quantum Hall state forms. We note that the Pfaffian state is not particle-hole symmetric. Therefore, in the limit of vanishing Landau-level mixing, in which particle-hole transformation is an exact symmetry, the Pfaffian spontaneously breaks this symmetry. There is a particle-hole conjugate state, which we call the anti-Pfaffian, which is degenerate with the Pfaffian in this limit. We observe that strong Landau-level mixing should favor the Pfaffian, but it is an open problem which state is favored for the moderate Landau-level mixing which is present in experiments. We discuss the bulk and edge physics of the anti-Pfaffian. We analyze a simplified model in which transitions between analogs of the two states can be studied in detail. Finally, we discuss experimental implications.
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Cites
Read, N., & Green, D. (2000) · Physical Review B · doi:10.1103/physrevb.61.10267 · Cited by 3,476
Nonabelions in the fractional quantum hall effect
Moore, G., & Read, N. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90407-o · Cited by 2,968
Non-Abelian Statistics of Half-Quantum Vortices inp-Wave Superconductors
Ivanov, D. A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.268 · Cited by 1,930
Observation of an even-denominator quantum number in the fractional quantum Hall effect
Willett, R., Eisenstein, J. P., Störmer, H. L., Tsui, D. C., Gossard, A. C., & English, J. H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.1776 · Cited by 1,135
Topologically Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
Das Sarma, S., Freedman, M., & Nayak, C. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.166802 · Cited by 673
Self-citationNayak, C., & Wilczek, F. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(96)00430-0 · Cited by 516
Self-citationMorf, R. H. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.1505 · Cited by 405
Rezayi, E. H., & Haldane, F. D. M. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.4685 · Cited by 386
Greiter, M., Wen, X. G., & Wilczek, F. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90401-v · Cited by 369
Detecting Non-Abelian Statistics in theν=5/2Fractional Quantum Hall State
Bonderson, P., Kitaev, A., & Shtengel, K. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.016803 · Cited by 355
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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
Self-citationMajorana zero modes and topological quantum computation
Sarma, S. D., Freedman, M., & Nayak, C. (2015) · npj Quantum Information · doi:10.1038/npjqi.2015.1 · Cited by 1,180
Self-citationTOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS
BERGHOLTZ, E. J., & LIU, Z. (2013) · International Journal of Modern Physics B · doi:10.1142/s021797921330017x · Cited by 522
Topological Flat Band Models and Fractional Chern Insulators
Bergholtz, E. J., & Liu, Z. (2013) · doi:10.17169/refubium-19043 · Cited by 459
Is the Composite Fermion a Dirac Particle?
Son, D. T. (2015) · Physical Review X · doi:10.1103/physrevx.5.031027 · Cited by 393
Metadata
- Authors
- Lee, S.-S., Ryu, S., Nayak, C., & Fisher, M. P. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-12-06
- Volume
- 99
- Issue
- 23
- Pages
- 236807-236807
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2084823114
- Cited by
- 414
- References
- 27
- FWCI
- 12.83
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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