Abstract
The criterion for vanishing or zero energy gaps in the spectrum of 1D electronic bandstructures is obtained from perturbation theory. It is in agreement with examples of periodic potentials which never exhibit zero-gaps as well as with those which may, including certain smooth periodic potentials. The results have relevance to recent work in the field of semiconductor layered heterostructures or superlattices. The analysis should also have implications for other problems that involve Hill's determinant.
| Original language | English (US) |
|---|---|
| Article number | 015 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 25 |
| Issue number | 13 |
| DOIs | |
| State | Published - 1992 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics
Cite this
Vanishing gaps in 1D bandstructures. / Mogilner, A. I.; Loly, P. D.
In: Journal of Physics A: Mathematical and General, Vol. 25, No. 13, 015, 1992.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Vanishing gaps in 1D bandstructures
AU - Mogilner, A. I.
AU - Loly, P. D.
PY - 1992
Y1 - 1992
N2 - The criterion for vanishing or zero energy gaps in the spectrum of 1D electronic bandstructures is obtained from perturbation theory. It is in agreement with examples of periodic potentials which never exhibit zero-gaps as well as with those which may, including certain smooth periodic potentials. The results have relevance to recent work in the field of semiconductor layered heterostructures or superlattices. The analysis should also have implications for other problems that involve Hill's determinant.
AB - The criterion for vanishing or zero energy gaps in the spectrum of 1D electronic bandstructures is obtained from perturbation theory. It is in agreement with examples of periodic potentials which never exhibit zero-gaps as well as with those which may, including certain smooth periodic potentials. The results have relevance to recent work in the field of semiconductor layered heterostructures or superlattices. The analysis should also have implications for other problems that involve Hill's determinant.
UR - http://www.scopus.com/inward/record.url?scp=36149031669&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=36149031669&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/25/13/015
DO - 10.1088/0305-4470/25/13/015
M3 - Article
AN - SCOPUS:36149031669
VL - 25
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 13
M1 - 015
ER -