Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice

Описание

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.

Ссылки на полный текст

Издание

Журнал: PHYSICAL REVIEW E

Выпуск журнала: Vol. 83, Is. 4, Part1

ISSN журнала: 15393755

Место издания: COLLEGE PK

Издатель: AMER PHYSICAL SOC

Персоны

  • Kolovsky A.R. (Siberian Federal University)
  • Mantica G. (CNISM Unita di Como,I.N.F.N. Sezione di Milano)

Вхождение в базы данных