Landau-Stark states in finite lattices and edge-induced Bloch oscillations

Описание

Тип публикации: статья из журнала

Год издания: 2014

Идентификатор DOI: 10.1209/0295-5075/106/50001

Аннотация: We consider the dynamics of a charged particle in a finite along the x-direction square lattice in the presence of a normal to the lattice plane magnetic field and an in-plane electric field aligned with the y-axis. For a vanishing magnetic field this dynamics would be common Bloch oscillations where the particle oscillates in the Показать полностьюy-direction with an amplitude inverse proportional to the electric field. We show that a non-zero magnetic field crucially modifies this dynamics. Namely, the new Bloch oscillations consist of time intervals where the particle moves with constant velocity in the x-direction intermitted by intervals where it is accelerated or decelerated along the lattice edges. The analysis is done in terms of the Landau-Stark states which are eigenstates of a quantum particle in a two-dimensional lattice subject to (real or synthetic) electric and magnetic fields. Copyright (C) EPLA, 2014

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Издание

Журнал: EPL

Выпуск журнала: Vol. 106, Is. 5

ISSN журнала: 02955075

Место издания: MULHOUSE

Издатель: EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY

Персоны

  • Chesnokov I.Y. (Siberian Federal University)
  • Kolovsky A.R. (Siberian Federal University)