Pair states in one-dimensional Dirac systems
College of Science
Physical Review A
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 ä-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. © 2017 American Physical Society.
Digitial Object Identifier (DOI)
Hartmann, R. R., & Portnoi, M. E. (2017). Pair states in one-dimensional Dirac systems. Physical Review A, 95 (6) https://doi.org/10.1103/PhysRevA.95.062110
Two-body problem; Narrow gap semiconductors