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PHYSICAL REVIEW B 84, 125407 (2011) Fine structure of exciton levels in carbon nanotubes: A semianalytical approach
 

Summary: PHYSICAL REVIEW B 84, 125407 (2011)
Fine structure of exciton levels in carbon nanotubes: A semianalytical approach
S. V. Goupalov
Department of Physics, Jackson State University, Jackson, Mississippi 39217, USA and
A.F. Ioffe Physico-Technical Institute, 26 Polytechnicheskaya, 194021 Saint Petersburg, Russia
(Received 2 July 2011; published 6 September 2011)
We propose a new approach toward excitons in carbon nanotubes whereby the matrix elements of the electron-
hole Coulomb interaction are expanded into a series over the nanotube's one-dimensional reciprocal lattice
vectors. We show that only a few terms of this expansion give a nonvanishing contribution to the Coulomb matrix
elements. The proposed approach allows one to single out Fourier components of the Coulomb potential respon-
sible for the intervalley coupling and formation of the exciton fine structure for each particular nanotube chirality.
DOI: 10.1103/PhysRevB.84.125407 PACS number(s): 78.67.Ch, 71.35.Cc, 78.67.Lt
I. INTRODUCTION
Optical properties of single-walled carbon nanotubes
(CNTs) are known to be dominated by the excitonic effects.110
The high spin and subband (valley) degeneracy of the electron-
hole (e-h) pair ground state in the absence of the Coulomb
interaction leads to a fine structure of excitonic levels when this
interaction is taken into account. It has been realized1
that both

  

Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara

 

Collections: Physics