The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Mobility Edge in a Model One-Dimensional Potential
Abstract
We show that a one-dimensional tight-binding electron moving in a slowly varying potential, ${V}_{n}=\ensuremath{\lambda}cos(\ensuremath{\alpha}{n}^{\ensuremath{\nu}})$, where $n$ is the site index and $0<\ensuremath{\nu}<1$, has a mobility edge in its spectrum provided that $2\ensuremath{\lambda}$ is smaller than the total unperturbed bandwidth of the system. We study the nature of the localized and extended eigenstates of this system as a function of $\ensuremath{\lambda}$ and $\ensuremath{\nu}$.
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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
Nearest Neighbor Tight Binding Models with an Exact Mobility Edge in One Dimension
Ganeshan, S., Pixley, J. H., & Das Sarma, S. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.146601 · Cited by 398
Self-citationSingle-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
Lüschen, H. P., Scherg, S., Kohlert, T., Schreiber, M., Bordia, P., Li, X., Das Sarma, S., & Bloch, I. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.160404 · Cited by 325
Self-citationAnomalous 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
Metadata
- Authors
- Das Sarma, S., He, S., & Xie, X. C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1988-10-31
- Volume
- 61
- Issue
- 18
- Pages
- 2144-2147
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2052036322
- Cited by
- 313
- References
- 1
- FWCI
- 2.03
- Type
- journal article
- Language
- en
- Open access
- closed
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