Тип публикации: статья из журнала
Год издания: 2014
Идентификатор DOI: 10.1103/PhysRevA.89.033607
Ключевые слова: Harmonic confinement, Harmonic potential, Intermediate energies, Periodic lattices, Quantum particles, Semiclassical analysis, Two-dimensional lattices, Wannier-stark localizations, Mathematical models, Physics, Topology
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 statesПоказать полностьюin 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.
Журнал: PHYSICAL REVIEW A
Выпуск журнала: Vol. 89, Is. 3
ISSN журнала: 10502947
Место издания: COLLEGE PK
Издатель: AMER PHYSICAL SOC