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Transport in models with correlated diagonal and off-diagonal disorder
Open accessAbstract
The electrical transport properties of one-dimensional tight-binding models, with correlation between diagonal and off-diagonal disorder, are obtained using Felderhof's method. A new local transformation eliminating the off-diagonal disorder is utilised. The characterisation of the type of correlation for the existence of a critical energy E c , at which transmission exists, is found. It is a generalisation, in some sense, of the well known transmission at the band centre for the case with only off-diagonal disorder. For the high-wavenumber approximation we find explicitly the inverse localisation length which, close to E c , behaves as mod E-E c mod nu , with nu =1 at the edges of the band and nu =2 otherwise. The transmission for a wavepacket around E c is analysed for samples of finite size.
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Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Cited by
Anomalous localization in low-dimensional systems with correlated disorder
Izrailev, F. M., Krokhin, A. A., & Makarov, N. M. (2012) · Physics Reports · doi:10.1016/j.physrep.2011.11.002 · Cited by 274
Frequency doubling of Bloch oscillations for interacting electrons in a static electric field
Dias, W. S., Nascimento, E. M., Lyra, M. L., & de Moura, F. A. B. F. (2007) · Physical Review B · doi:10.1103/physrevb.76.155124 · Cited by 72
Metadata
- Authors
- Flores, J. C.
- Venue
- Journal of Physics: Condensed Matter
- Publisher
- IOP Publishing
- Published
- 1989-11-06
- Volume
- 1
- Issue
- 44
- Pages
- 8471-8479
- ISSN
- 0953-8984 (ISSN-L)
- 1361-648X
- OpenAlex
- W1976455428
- Cited by
- 191
- References
- 1
- FWCI
- 1.14
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Flores, J. C. (1989). Transport in models with correlated diagonal and off-diagonal disorder. Journal of Physics: Condensed Matter. https://doi.org/10.1088/0953-8984/1/44/017
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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