Localization in one-dimensional incommensurate lattices beyond the Aubry-Andr\'e model

Autor:	Biddle, J., Wang, B., Priour Jr., D. J., Sarma, S. Das
Rok vydání:	2009
Předmět:	Quantum Physics Condensed Matter - Other Condensed Matter
Zdroj:	Phys. Rev. A 80, 021603 (2009)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevA.80.021603
Popis:	Localization properties of particles in one-dimensional incommensurate lattices without interaction are investigated with models beyond the tight-binding Aubry-Andr\'e (AA) model. Based on a tight-binding t_1 - t_2 model with finite next-nearest-neighbor hopping t_2, we find the localization properties qualitatively different from those of the AA model, signaled by the appearance of mobility edges. We then further go beyond the tight-binding assumption and directly study the system based on the more fundamental single-particle Schr\"odinger equation. With this approach, we also observe the presence of mobility edges and localization properties dependent on incommensuration. Comment: 5 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0907.0252 Zobrazit plný text záznamu View this record from Arxiv