Pair states in one-dimensional Dirac systems
Physical Review A
American Physical Society
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 δ-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.
This work was supported by the EU H2020 RISE Project CoExAN (Grant No. H2020-644076), and EU FP7 ITN NOTEDEV (Grant No. FP7-607521), FP7 IRSES Projects CANTOR (Grant No. FP7-612285), QOCaN (Grant No. FP7-316432), and InterNoM (Grant No. FP7-612624). R.R.H. acknowledges financial support from URCO (Project No. 09 F U 1TAY15-1TAY16) and Research Links Travel Grant by the British Council Newton Fund (Project No. 172695634).
This is the final version of the article. Available from American Physical Society via the DOI in this record.
Vol. 95, article 062110-1