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Fractional quantization of Hall conductance
Abstract
It is shown how the correlation energy of a system of two-dimensional electrons in a strong magnetic field may be enhanced if the electrons are in a regular array of the Landau orbitals. This gives an energy gap if the proportion $\ensuremath{\nu}$ of occupied orbitals is a simple fraction without giving rise to charge-density waves which may pin the system. The gap is determined self-consistently. Such a state can give rise to the plateaus in the Hall conductance observed at fractional multiples of $\frac{{e}^{2}}{h}$.
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Citations
Cited by
Quantized Hall conductance as a topological invariant
Niu, Q., Thouless, D. J., & Wu, Y.-S. (1985) · Physical Review B · doi:10.1103/physrevb.31.3372 · Cited by 1,136
Self-citationOff-diagonal long-range order, oblique confinement, and the fractional quantum Hall effect
Girvin, S. M., & MacDonald, A. H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1252 · Cited by 537
Liquid-solid transition and the fractional quantum-Hall effect
Lam, P. K., & Girvin, S. M. (1984) · Physical Review B · doi:10.1103/physrevb.30.473 · Cited by 347
Exact results for the fractional quantum Hall effect with general interactions
Trugman, S. A., & Kivelson, S. (1985) · Physical Review B · doi:10.1103/physrevb.31.5280 · Cited by 301
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
- Tao, R., & Thouless, D. J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1983-07-15
- Volume
- 28
- Issue
- 2
- Pages
- 1142-1144
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2027938367
- Cited by
- 185
- References
- 0
- FWCI
- 10.97
- Type
- journal article
- Language
- en
- Open access
- closed
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- Tao, R., & Thouless, D. J. (1983). Fractional quantization of Hall conductance. Physical Review B. https://doi.org/10.1103/physrevb.28.1142
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