The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level
Open accessAbstract
The Pfaffian quantum Hall states, which can be viewed as involving pairing either of spin-polarized electrons or of composite fermions, are generalized by finding the exact ground states of certain Hamiltonians with $k+1$-body interactions, for all integers $k>~1.$ The remarkably simple wave functions of these states involve clusters of k particles, and are related to correlators of parafermion currents in two-dimensional conformal field theory. The $k=2$ case is the Pfaffian. For $k>~2,$ the quasiparticle excitations of these systems are expected to possess non-Abelian statistics, like those of the Pfaffian. For $k=3,$ these ground states have large overlaps with the ground states of the (two-body) Coulomb-interaction Hamiltonian for electrons in the first excited Landau level at total filling factors $\ensuremath{\nu}=2+3/5,2+2/5.$
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Cites
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
Composite-fermion approach for the fractional quantum Hall effect
Jain, J. K. (1989) · Physical Review Letters · doi:10.1103/physrevlett.63.199 · Cited by 2,346
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States
Haldane, F. D. M. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.605 · Cited by 2,210
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
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Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114
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
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Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Weak ergodicity breaking from quantum many-body scars
Turner, C. J., Michailidis, A. A., Abanin, D. A., Serbyn, M., & Papić, Z. (2018) · Nature Physics · doi:10.1038/s41567-018-0137-5 · Cited by 988
Metadata
- Authors
- Read, N., & Rezayi, E.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1999-03-15
- Volume
- 59
- Issue
- 12
- Pages
- 8084-8092
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1969128440
- Cited by
- 942
- References
- 4
- FWCI
- 6.96
- Type
- journal article
- Language
- en
- Open access
- green
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