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arXiv · 1706.04886

Pair states in one-dimensional Dirac systems

R. R. Hartmann·M. E. Portnoi
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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 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.

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R. R. Hartmann, M. E. Portnoi. 2017-06-15. Pair states in one-dimensional Dirac systems. https://doi.org/10.1103/physreva.95.062110

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