Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice. II. Arbitrary electric field directions

Andrey R. Kolovsky, Ilya Chesnokov, and Giorgio Mantica

Phys. Rev. E 86, 041146 – Published 25 October 2012

Abstract

We study the quantum dynamics of a charged particle in a two-dimensional lattice, subject to constant and homogeneous electric and magnetic fields. We find that different regimes characterize these motions, depending on a combination of conditions, corresponding to weak and strong electric field intensities, rational or irrational directions of the electric field with respect to the lattice, and small or large values of the magnetic (Peierls) phase.

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Received 25 May 2012

DOI:https://doi.org/10.1103/PhysRevE.86.041146

Authors & Affiliations

Andrey R. Kolovsky^1,2, Ilya Chesnokov², and Giorgio Mantica^3,4,5

¹Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia
²Siberian Federal University, 660041 Krasnoyarsk, Russia
³Center for Nonlinear and Complex Systems, Department of Science and High Technology, University of Insubria, 22100 Como, Italy
⁴I.N.F.N. sezione di Milano, Italy
⁵CNISM unità di Como, Italy

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

Andrey R. Kolovsky and Giorgio Mantica

Phys. Rev. E 83, 041123 (2011)

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Issue

Vol. 86, Iss. 4 — October 2012

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