Аннотация: We analyze the eigenstates of a two-dimensional lattice with additional harmonic confinement in the presence of an artificial magnetic field. While the softness of the confinement makes a distinction between bulk and edge states difficult, the interplay of harmonic potential and lattice leads to a different classification of states in three energy regions: In the low-energy regime, where lattice effects are small, all states are transporting topologically nontrivial states. For large energies above a certain critical value, the periodic lattice causes localization of all states through a mechanism similar toWannier-Stark localization. In the intermediate energy regime transporting, topologically nontrivial states coexist with topologically trivial countertransporting chaotic states. The character of the eigenstates, in particular their transport properties, are studied numerically and are explained using a semiclassical analysis.
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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia
Univ Kaiserslautern, Dept Phys, D-67663 Kaiserslautern, Germany
Univ Kaiserslautern, Res Ctr OPTIMAS, D-67663 Kaiserslautern, Germany
Grad Sch Mat Sci Mainz, D-67663 Kaiserslautern, Germany
Доп.точки доступа:
Grusdt, F.; Fleischhauer, M.; Коловский, Андрей Радиевич; TU Kaiserslatern; [DFG/GSC 266]