%0 Journal Article
%T Bosonization Theory of Excitons in One-dimensional Narrow Gap Semiconductors
%A H. C. Lee
%A S. -R. Eric Yang
%J Physics
%D 2001
%I arXiv
%R 10.1103/PhysRevB.63.193308
%X Excitons in one-dimensional narrow gap semiconductors of anti-crossing quantum Hall edge states are investigated using a bosonization method. The excitonic states are studied by mapping the problem into a non-integrable sine-Gordon type model. We also find that many-body interactions lead to a strong enhancement of the band gap. We have estimated when an exciton instability may occur.
%U http://arxiv.org/abs/cond-mat/0102509v1