Pair states in one-dimensional Dirac systems
Mesoscale and Nanoscale Physics
2017-06-16 v1 Quantum Physics
Abstract
Analytic solutions of the quantum relativistic two-body problem are obtained for an interaction potential modeled as a one-dimensional smooth square well. Both stationary and moving pairs are considered and the limit of the {\delta}-function interaction is studied in depth. Our result can be utilized for understanding excitonic states in narrow-gap carbon nanotubes. We also show the existence of bound states within the gap for a pair of particles of the same charge.
Cite
@article{arxiv.1706.04886,
title = {Pair states in one-dimensional Dirac systems},
author = {R. R. Hartmann and M. E. Portnoi},
journal= {arXiv preprint arXiv:1706.04886},
year = {2017}
}
Comments
14 pages and 6 figures