Conditions for Dynamic Localization in Generalized ac Electric Fields

M. M. Dignam and C. Martijn de Sterke
Phys. Rev. Lett. 88, 046806 – Published 15 January 2002
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Abstract

We examine the conditions for dynamic localization of electrons in a periodic potential due to an applied ac electric field. Using a general one-band model, we establish the surprising result that only electric fields that are discontinuous at all changes of sign can lead to exact dynamic localization. We also develop a general procedure for constructing ac fields that yield dynamic localization and derive an “area condition” for such fields. We confirm this result numerically in a multiband simulation.

  • Received 10 July 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.046806

©2002 American Physical Society

Authors & Affiliations

M. M. Dignam

  • Department of Physics, Queen's University, Kingston, Ontario, Canada K7L 3N6

C. Martijn de Sterke

  • School of Physics, University of Sydney, Sydney 2006, Australia

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Vol. 88, Iss. 4 — 28 January 2002

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