Anomalous Minimum and Scaling Behavior of Localization Length Near an Isolated Flat Band

  title={Anomalous Minimum and Scaling Behavior of Localization Length Near an Isolated Flat Band},
  author={Li Ge},
  journal={Annalen der Physik},
  • L. Ge
  • Published 2 September 2015
  • Physics
  • Annalen der Physik
Using one‐dimensional tight‐binding lattices and an analytical expression based on the Green's matrix, we show that anomalous minimum of the localization length near an isolated flat band, previously found for evanescent waves in a defect‐free photonic crystal waveguide, is a generic feature and exists in the Anderson regime as well, i.e., in the presence of disorder. Our finding reveals a scaling behavior of the localization length in terms of the disorder strength, as well as a summation rule… 
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