Vanishing gaps in 1D bandstructures

A. I. Mogilner, P. D. Loly

Research output: Contribution to journalArticlepeer-review


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
Pages (from-to)L855-L860
JournalJournal of Physics A: Mathematical and General
Issue number13
StatePublished - 1992

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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