Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published April 1, 2003 | public
Journal Article Open

Numerical spurious solutions in the effective mass approximation

Abstract

We have characterized a class of spurious solutions that appears when using the finite difference method to solve the effective mass approximation equations. We find that the behavior of these solutions as predicted by our model shows excellent agreement with numerical results. Using this interpretation we find a set of analytical expressions for conditions that the Luttinger parameters must satisfy to avoid spurious solutions. Finally, we use these conditions to check commonly used sets of parameters for their potential for generating this class of spurious solutions.

Additional Information

©2003 American Institute of Physics. (Received 4 November 2002; accepted 26 December 2002) The authors would like to thank Darryl Smith for valuable discussions. This work has been supported by the Office of Naval Research under Grant No. N00014-99-1-1006. A part of this work was carried out at the Jet Propulsion Laboratory, California Institute of Technology, and was sponsored by the Defense Research Projects Agency through an agreement with the National Aeronautics and Space Administration.

Files

CARjap03.pdf
Files (128.4 kB)
Name Size Download all
md5:27d3e7bde2741c48d334b0f8ddab8012
128.4 kB Preview Download

Additional details

Created:
August 22, 2023
Modified:
October 13, 2023