The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Quantum percolation and plateau transitions in the quantum Hall effect
Abstract
We introduce a simple model of quantum percolation and analyze it numerically using transfer matrix methods. A central point of this paper is that 3 both integer and fractional plateau transitions in the quantum Hall effect are due to quantum percolation. Within this model, we obtained the localization length exponent \ensuremath{\nu}=2.4\ifmmode\pm\else\textpm\fi{}0.2, the dynamical exponent z=1, and the scaling functions for the conductivity tensor for both the integer and the fractional transitions. We show that our results agree extremely well with the experimental results for the integer plateau transition obtained by McEuen et al.
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Citations
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
Cited by
Integer quantum Hall transition: An alternative approach and exact results
Ludwig, A. W. W., Fisher, M. P. A., Shankar, R., & Grinstein, G. (1994) · Physical Review B · doi:10.1103/physrevb.50.7526 · Cited by 709
Ground state of a two-dimensional electron liquid in a weak magnetic field
Fogler, M. M., Koulakov, A. A., & Shklovskii, B. I. (1996) · Physical Review B · doi:10.1103/physrevb.54.1853 · Cited by 362
Metadata
- Authors
- Lee, D.-H., Wang, Z., & Kivelson, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1993-06-28
- Volume
- 70
- Issue
- 26
- Pages
- 4130-4133
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2015019676
- Cited by
- 199
- References
- 1
- FWCI
- 11.54
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lee, D.-H., Wang, Z., & Kivelson, S. (1993). Quantum percolation and plateau transitions in the quantum Hall effect. Physical Review Letters. https://doi.org/10.1103/physrevlett.70.4130
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