Abstract
The theory of dynamic localization of a charged particle moving on a lattice under the influence of a time-dependent electric field developed in a previous paper is extended to include the effect of scattering of the particle by imperfections in the lattice. The description used to include scattering is that provided by the stochastic Liouville equation. Exact solutions for the mean-square displacement are obtained, and the average diffusion constant is calculated for a sinusoidal ac field. Scattering is found to play a dual role: It increases diffusion by preventing localization, and decreases it by increasing the amount of incoherence. Viewed another way, an alternating electric field is seen to result in an increase in the scattering rate in general and the appearance of singularities in the rate for specific values of the field magnitude and/or the field frequency. These singularities represent the phenomenon of dynamic localization and indicate the possibility of inducing anisotropy in isotropic materials through the application of strong time-varying electric fields.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
