Artículo de revista
Simple method to construct flat-band lattices
Fecha
2016Registro en:
Physical Review A, Volumen 94, Issue 4, 2018,
24699934
24699926
10.1103/PhysRevA.94.043831
Autor
Morales-Inostroza, Luis
Vicencio Poblete, Rodrigo
Institución
Resumen
© 2016 American Physical Society.We develop a simple and general method to construct arbitrary flat-band lattices. We identify the basic ingredients behind zero-dispersion bands and develop a method to construct extended lattices based on a consecutive repetition of a given miniarray. The number of degenerated localized states is defined by the number of connected miniarrays times the number of modes preserving the symmetry at a given connector site. In this way, we create one or more (depending on the lattice geometry) complete degenerated flat bands for quasi-one- and two-dimensional systems. We probe our method by studying several examples and discuss the effect of additional interactions such as anisotropy or nonlinearity. We test our method by studying numerically a ribbon lattice using a continuous description.