The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Quantum mechanics of electrons in crystals with graded composition
Abstract
We construct the effective Hamiltonian describing the motion of electrons in compositionally graded crystals which is valid throughout a given energy band and part way into the gaps. Near the edges of a simple or degenerate band this effective Hamiltonian reduces to an effective mass Hamiltonian with position dependent effective mass. Next, we examine more general states---not restricted to the vicinity of a band edge---in crystals with composition and applied potential variation in one direction. We obtain a WKB-type solution for the envelope functions, as well as the appropriate turning point connection rules.
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Citations
Cites
Motion of Electrons and Holes in Perturbed Periodic Fields
Luttinger, J. M., & Kohn, W. (1955) · Physical Review · doi:10.1103/physrev.97.869 · Cited by 3,088
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Metadata
- Authors
- Geller, M. R., & Kohn, W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1993-05-17
- Volume
- 70
- Issue
- 20
- Pages
- 3103-3106
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1990322435
- Cited by
- 172
- References
- 1
- FWCI
- 2.95
- Type
- journal article
- Language
- en
- Open access
- closed
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- Geller, M. R., & Kohn, W. (1993). Quantum mechanics of electrons in crystals with graded composition. Physical Review Letters. https://doi.org/10.1103/physrevlett.70.3103
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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