TY - JOUR
T1 - Flat band states
T2 - Disorder and nonlinearity
AU - Leykam, Daniel
AU - Flach, Sergej
AU - Bahat-Treidel, Omri
AU - Desyatnikov, Anton S.
PY - 2013/1/19
Y1 - 2013/1/19
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84892403616&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.88.224203
DO - 10.1103/PhysRevB.88.224203
M3 - Article
SN - 1098-0121
VL - 88
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 22
M1 - 224203
ER -