Vanishing gaps in 1D bandstructures

A. I. Mogilner; P. D. Loly

doi:10.1088/0305-4470/25/13/015

Vanishing gaps in 1D bandstructures

A. I. Mogilner, P. D. Loly

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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	https://doi.org/10.1088/0305-4470/25/13/015
State	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Physics and Astronomy(all)
Mathematical Physics

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10.1088/0305-4470/25/13/015

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title = "Vanishing gaps in 1D bandstructures",

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.",

author = "Mogilner, {A. I.} and Loly, {P. D.}",

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doi = "10.1088/0305-4470/25/13/015",

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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.

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Vanishing gaps in 1D bandstructures

Abstract

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