Flat band states: disorder and nonlinearity

Leykam, Daniel, Flach, Sergej, Bahat-Treidel, Omri and Desyatnikov, Anton S. (2013) Flat band states: disorder and nonlinearity. Physical Review B, 88 22: 224203.1-224203.6. doi:10.1103/PhysRevB.88.224203

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Author Leykam, Daniel
Flach, Sergej
Bahat-Treidel, Omri
Desyatnikov, Anton S.
Title Flat band states: disorder and nonlinearity
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
Publication date 2013-12-01
Sub-type Article (original research)
DOI 10.1103/PhysRevB.88.224203
Open Access Status File (Publisher version)
Volume 88
Issue 22
Start page 224203.1
End page 224203.6
Total pages 6
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Formatted abstract
We study the critical behavior of Anderson localized modes near intersecting flat and dispersive bands in the quasi-one-dimensional diamond ladder with weak diagonal disorder W. The localization length ξ of the flat band states scales with disorder as ξ∼W−γ, with γ≈1.3, in contrast to the dispersive bands with γ=2. A small fraction of dispersive modes mixed with the flat band states is responsible for the unusual scaling. Anderson localization is therefore controlled by two different length scales. Nonlinearity can produce qualitatively different wave spreading regimes, from enhanced expansion to resonant tunneling and self-trapping.
Keyword Anderson Localization
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
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Citation counts: TR Web of Science Citation Count  Cited 38 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 35 times in Scopus Article | Citations
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