Research Seminar in Mathematics - Nonlinear localized modes in flatband lattices
06 April 2018 14:00 T207, Teknikhuset
Speaker
Prof. Magnus Johansson, Theoretical Physics group, Dept. of Physics, Chemistry and Biology, Linköping University.
Abstract
We will review work on nonlinear localized modes in several examples of lattices exhibiting linear flat bands. Examples include sawtooth and kagome chains and ladders in 1D, and kagome and Lieb lattices in 2D. A number of different dynamical effects resulting from the interplay between nonlinearity and flat-band structure will be discussed, such as threshold-less bifurcations from linear band, symmetry-broken ground states, mobility of strongly localized modes, compactification tuning by nonlinearity, and effects of dimerization.