The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Metal-Insulator Transition and Scaling for Incommensurate Systems
Abstract
Tight-binding models in one dimension with incommensurate potentials are studied. For the sinusoidal-potential model scaling of the spectrum is found numerically at the critical point, which separates the region where all the states are extended and the region where all the states are localized. Absence of scaling for generic potentials indicates the existence of mobility edges. An index $\ensuremath{\delta}$, which characterizes the behavior of the total width of allowed energies, is defined at the critical point. For a class of discontinuous potentials, the systems are found to be always critical.
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Citations
Cites
The Fractal Geometry of Nature.
Sparrow, C., & Mandelbrot, B. (1984) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2981858 · Cited by 14,546
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Self-citationEnergy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
Localization Problem in One Dimension: Mapping and Escape
Kohmoto, M., Kadanoff, L. P., & Tang, C. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1870 · Cited by 1,129
Self-citationOne-Dimensional Schrödinger Equation with an Almost Periodic Potential
Ostlund, S., Pandit, R., Rand, D., Schellnhuber, H. J., & Siggia, E. D. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1873 · Cited by 731
Almost periodic Schrödinger operators: A Review
Simon, B. (1982) · Advances in Applied Mathematics · doi:10.1016/s0196-8858(82)80018-3 · Cited by 426
Localization in an Incommensurate Potential: An Exactly Solvable Model
Grempel, D. R., Fishman, S., & Prange, R. E. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.833 · Cited by 284
Cantor spectrum for the almost Mathieu equation
Bellissard, J., & Simon, B. (1982) · Journal of Functional Analysis · doi:10.1016/0022-1236(82)90094-5 · Cited by 206
A metal-insulator transition for the almost Mathieu model
Bellissard, J., Lima, R., & Testard, D. (1983) · Communications in Mathematical Physics · doi:10.1007/bf01209477 · Cited by 106
Cited by
Topological invariant and the quantization of the Hall conductance
Kohmoto, M. (1985) · Annals of Physics · doi:10.1016/0003-4916(85)90148-4 · Cited by 905
Self-citationCritical wave functions and a Cantor-set spectrum of a one-dimensional quasicrystal model
Kohmoto, M., Sutherland, B., & Tang, C. (1987) · Physical Review B · doi:10.1103/physrevb.35.1020 · Cited by 732
Self-citationDiophantine equation for the three-dimensional quantum Hall effect
Kohmoto, M., Halperin, B. I., & Wu, Y.-S. (1992) · Physical Review B · doi:10.1103/physrevb.45.13488 · Cited by 142
Self-citationQuantized Hall effect in three dimensions
Montambaux, G., & Kohmoto, M. (1990) · Physical Review B · doi:10.1103/physrevb.41.11417 · Cited by 74
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Metadata
- Authors
- Kohmoto, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1983-09-26
- Volume
- 51
- Issue
- 13
- Pages
- 1198-1201
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2084155200
- Cited by
- 295
- References
- 9
- FWCI
- 7.72
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
