Perturbative vs. variational methods in the study of carbon nanotubes

Horia D. Cornean (1) , Thomas G. Pedersen (2) , Benjamin Ricaud (3, 4)

1 MATH. DEPT., AALBORG UNIVERSITY - Institut for Matematiske Fag, Aalborg university
2 Department of Biochemistry and Molecular Biology
3 CPT - Centre de Physique Théorique - UMR 6207
4 CPT - Centre de Physique Théorique - UMR 7332

Recent two-photon photo-luminescence experiments give accurate data for the ground and first excited excitonic energies at different nanotube radii. In this paper we compare the analytic approximations proved in [CDR], with a standard variational approach. We show an excellent agreement at sufficiently small radii.

Mots clés: exciton; carbon nanotube; bound states; perturbation theory; variational

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Horia D. Cornean, Thomas G. Pedersen, Benjamin Ricaud. Perturbative vs. variational methods in the study of carbon nanotubes. Contemporary mathematics, 2007, 447, pp.45-55. ⟨hal-00023783v2⟩