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Phys Rev Lett. 2002 Jan 28;88(4):046806. Epub 2002 Jan 15.

Conditions for dynamic localization in generalized ac electric fields.

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


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.

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