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Transition from Quantum Hall to Compressible States in the Second Landau Level: New Light on theν=5/2Enigma
Open accessAbstract
Quantum Hall states at filling fraction $\ensuremath{\nu}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}5/2$ are examined by numerical diagonalization. Spin-polarized and spin-unpolarized states of systems with $N\ensuremath{\le}18$ electrons are studied, neglecting effects of Landau level mixing. We find that the ground state is spin polarized. It is incompressible and has a large overlap with paired states like the Pfaffian. For a given sample, the energy gap is about 11 times smaller than at $\ensuremath{\nu}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1/3$. Evidence is presented of phase transitions to compressible states, driven by the interaction strength at short distance. A reinterpretation of experiments is suggested.
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Cites
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
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
Majorana 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
The fractional quantum Hall effect
Stormer, H. L., Tsui, D. C., & Gossard, A. C. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.s298 · Cited by 483
Particle-Hole Symmetry and theν=52Quantum Hall State
Lee, S.-S., Ryu, S., Nayak, C., & Fisher, M. P. A. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.236807 · Cited by 414
Rezayi, E. H., & Haldane, F. D. M. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.4685 · Cited by 386
Metadata
- Authors
- Morf, R. H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-02-16
- Volume
- 80
- Issue
- 7
- Pages
- 1505-1508
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1988466257
- Cited by
- 405
- References
- 2
- FWCI
- 12.02
- Type
- journal article
- Language
- en
- Open access
- green
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- Morf, R. H. (1998). Transition from Quantum Hall to Compressible States in the Second Landau Level: New Light on theν=5/2Enigma. Physical Review Letters. https://doi.org/10.1103/physrevlett.80.1505
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