Effective models for excitons in carbon nanotubes

Horia D. Cornean (1, 2, 3) , Pierre Duclos (4, 5) , Benjamin Ricaud (4, 5)

1 Institut de Mathematiques
2 Departement of Mathematics
3 MATH. DEPT., AALBORG UNIVERSITY - Institut for Matematiske Fag, Aalborg university
4 CPT - Centre de Physique Théorique - UMR 6207
5 CPT - Centre de Physique Théorique - UMR 7332

We analyse the low lying spectrum of a model of excitons in carbon nanotubes. Consider two particles with an attractive Coulomb self-interaction, placed on an infinitely long cylinder. If the cylinder radius becomes small, the low lying spectrum is well described by a one-dimensional effective Hamiltonian which is exactly solvable.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

Horia D. Cornean, Pierre Duclos, Benjamin Ricaud. Effective models for excitons in carbon nanotubes. Annales Henri Poincaré, 2007, 1, pp.135-163. ⟨hal-00166910⟩