Flat band states: Disorder and nonlinearity
نویسندگان
چکیده
Daniel Leykam,1 Sergej Flach,2 Omri Bahat-Treidel,3 and Anton S. Desyatnikov1 1Nonlinear Physics Centre, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200, Australia 2New Zealand Institute for Advanced Study, Centre for Theoretical Chemistry and Physics, Massey University, Auckland 0745, New Zealand 3School of Mathematics and Physics, The University of Queensland, Brisbane QLD 4072, Australia (Received 30 May 2013; revised manuscript received 3 December 2013; published 19 December 2013)
منابع مشابه
Nonlinearity Effect on 1D Periodic and Disordered Lattices
The Kronig-Penney model is used to study the effect of nonlinear interaction on the transmissive properties of both ordered and disordered chains. We found that nonlinearity can either localize or delocalize the electronic states in ordered systems depending on both its sign and strength but there exists a critical strength above which all states are localized. In the disordered case, however, ...
متن کاملObservation of a Localized Flat-Band State in a Photonic Lieb Lattice.
We demonstrate the first experimental realization of a dispersionless state, in a photonic Lieb lattice formed by an array of optical waveguides. This engineered lattice supports three energy bands, including a perfectly flat middle band with an infinite effective mass. We analyze, both experimentally and theoretically, the evolution of well-prepared flat-band states, and show their remarkable ...
متن کاملThe effect of material nonlinearity on the band gap for TE and TM modes in square and triangular lattices
In this article, by using the method of finite difference time domain (FDTD) and PML boundary conditions, we have studied the photonic band gaps for TE and TM modes in square and triangular lattices consisting of air holes in dielectric medium and compared the results. In addition, the effect of nonlinearity of the photonic crystal background on the photonic band gaps and comparison with the re...
متن کاملLocalized gap modes in nonlinear dimerized Lieb lattices
Compact localized modes of ring type exist in many two-dimensional lattices with a flat linear band, such as the Lieb lattice. The uniform Lieb lattice is gapless, but gaps surrounding the flat band can be induced by various types of bond alternations (dimerizations) without destroying the compact linear eigenmodes. Here, we investigate the conditions under which such diffractionless modes can ...
متن کاملThe effects of thera band and water resistance corrective exersises on the correction of flexible flat foot and postural control in boy students with overweight
Flat foot and postural control problems is one of the most common physical and motor disorders among students. The aim of this study was to comparison of the effects of comprehensive corrective thera band and water resistance training protocols on the correction of flexible flat foot and postural control in boy students with overweight. Material and Methods: In this quasi-experimental study, w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013