Bose-Einstein condensate of two-dimensional excitons in a ring: Necklace-like modulation of order parameter
Strongly Correlated Electrons
2007-05-23 v1
Abstract
We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with small random width variation. We derive a nonlinear Gross-Pitaevkii equation (GPE) for such a condensate. Our numerical solution of the ground state of the GPE displays a necklace-like structure in the presence of small random variation of ring width. This is a consequence of the interplay between random potential and the nonlinear repulsive term of the GPE. Our result suggests that the formation of ring and necklace-like structures observed recently in the photoluminescence of quantum wells may be stable even in the BEC phase.
Keywords
Cite
@article{arxiv.cond-mat/0312354,
title = {Bose-Einstein condensate of two-dimensional excitons in a ring: Necklace-like modulation of order parameter},
author = {S. -R. Eric Yang and Q-Han Park and J. Yeo},
journal= {arXiv preprint arXiv:cond-mat/0312354},
year = {2007}
}