Тип публикации: статья из журнала
Год издания: 2011
Идентификатор DOI: 10.1103/PhysRevE.83.041123
Ключевые слова: Critical value, Directed transport, Drift velocities, Electric and magnetic fields, Electric field magnitude, Electric field vectors, Free space, Initial conditions, Lattice plane, Quantum dynamics, Quantum particles, Quantum wave packets, Two dimensional square lattice, Two-dimensional lattices, Electric fields, Magnetic fields, Quantum theory, Vector spaces, Two dimensional
Аннотация: This paper studies the quantum dynamics of a charged particle in a two-dimensional square lattice, under the influence of electric and magnetic fields, the former being aligned with one of the lattice axes and the latter perpendicular to the lattice plane. While in free space these dynamics consist of uniform motions in the directiПоказать полностьюon orthogonal to the electric field vector, we find that, in a lattice, this directed drift takes place only for specific initial conditions and for electric field magnitudes smaller than a critical value. Otherwise, the quantum wave packet spreads ballistically in both directions orthogonal to the electric field. We quantify this ballistic spreading and identify the subspace of initial conditions ensuring directed transport with the drift velocity. We also describe the effect of disorder in the system.
Журнал: PHYSICAL REVIEW E
Выпуск журнала: Vol. 83, Is. 4, Part1
ISSN журнала: 15393755
Место издания: COLLEGE PK
Издатель: AMER PHYSICAL SOC