Crystalline Conductance and Absolutely Continuous Spectrum of 1D Samples

Laurent Bruneau, Vojkan Jakšić*, Yoram Last, Claude Alain Pillet

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the crystalline Landauer–Büttiker conductance of the associated finite samples.

Original languageAmerican English
Pages (from-to)787-797
Number of pages11
JournalLetters in Mathematical Physics
Volume106
Issue number6
DOIs
StatePublished - 1 Jun 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer Science+Business Media Dordrecht.

Keywords

  • Schrödinger operators
  • absolutely continuous spectrum
  • conductances
  • quantum transport

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