Quantum Transport in the Presence of Random Traps

Author

John Wm Edwards
Paul Ernest Parris, Missouri University of Science and TechnologyFollow

Abstract

We calculate the asymptotic decay of a quantum particle moving in a d-dimensional medium doped with randomly placed trapping impurities, focusing on contributions from slowly decaying long-wavelength modes centered in large compact regions devoid of traps. By averaging the decay over the statistical distribution associated with these regions we find that the survival probability, P(t) ~exp(-At^d/(d+3)), decays more slowly in any dimension than for diffusive transport.

Recommended Citation

J. W. Edwards and P. E. Parris, "Quantum Transport in the Presence of Random Traps," Physical Review B (Condensed Matter), vol. 40, no. 11, pp. 8045 - 8048, American Physical Society (APS), Oct 1989.

The definitive version is available at https://doi.org/10.1103/PhysRevB.40.8045

Department(s)

Physics

International Standard Serial Number (ISSN)

0163-1829

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1989 American Physical Society (APS), All rights reserved.

Publication Date

01 Oct 1989