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Tightly Bound Electrons in a Uniform Electric Field
Abstract
The energy spectrum of tightly bound electrons in a uniform electric field is studied for finite systems. It forms the Stark ladder for almost all states except those near the band edges (these can be understood as surface states) and in the case of extremely low fields such that the potential drop across the entire sample is of the order of the bandwidth. This fact is independent of the boundary conditions. A two-band tight-binding model is solved, taking into account the interband coupling, and it is found that the spectrum is that of two interspaced Stark ladders. The experimental situation is briefly reviewed and the limitations and feasibility of observing Stark ladders in solids is discussed.
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Citations
Cited by
Dynamic localization of a charged particle moving under the influence of an electric field
Dunlap, D. H., & Kenkre, V. M. (1986) · Physical Review B · doi:10.1103/physrevb.34.3625 · Cited by 896
Dynamics of Bloch oscillations
Hartmann, T., Keck, F., Korsch, H. J., & Mossmann, S. (2004) · New Journal of Physics · doi:10.1088/1367-2630/6/1/002 · Cited by 262
Hopping conduction in a "superlattice"
Tsu, R., & Döhler, G. (1975) · Physical Review B · doi:10.1103/physrevb.12.680 · Cited by 258
Interaction-induced fractional Bloch and tunneling oscillations
Khomeriki, R., Krimer, D. O., Haque, M., & Flach, S. (2010) · Physical Review A · doi:10.1103/physreva.81.065601 · Cited by 53
Modulation-assisted tunneling in laser-fabricated photonic Wannier–Stark ladders
Mukherjee, S., Spracklen, A., Choudhury, D., Goldman, N., Öhberg, P., Andersson, E., & Thomson, R. R. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/11/115002 · Cited by 31
Metadata
- Authors
- Fukuyama, H., Bari, R. A., & Fogedby, H. C.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1973-12-15
- Volume
- 8
- Issue
- 12
- Pages
- 5579-5586
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W1995654939
- Cited by
- 221
- References
- 0
- FWCI
- 2.19
- Type
- journal article
- Language
- en
- Open access
- closed
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- Fukuyama, H., Bari, R. A., & Fogedby, H. C. (1973). Tightly Bound Electrons in a Uniform Electric Field. Physical Review B. https://doi.org/10.1103/physrevb.8.5579
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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.
