Vanishing gaps in 1D bandstructures

A. I. Mogilner, P. D. Loly

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish (US)
Article number015
JournalJournal of Physics A: Mathematical and General
Volume25
Issue number13
DOIs
StatePublished - 1992
Externally publishedYes

Fingerprint

Periodic Potential
Band Structure
Superlattices
Heterojunctions
Hill determinant
Energy gap
Energy Gap
Heterostructures
Zero
Perturbation Theory
superlattices
Semiconductors
Determinant
perturbation theory
Electronics
electronics
Layered semiconductors
Relevance

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 journalArticle

Mogilner, A. I. ; Loly, P. D. / Vanishing gaps in 1D bandstructures. In: Journal of Physics A: Mathematical and General. 1992 ; Vol. 25, No. 13.
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