ABSTRACT

In the previous chapters, our consideration has been based on a

model of noninteracting chiral fermions with a one-half pseudospin

and the absence of an energy gap in graphene. Strictly speaking,

the validity of the model is limited within the conic approximation.

Since the real electron dispersion always deviates from linear

form, the electron-hole binding becomes possible. In particular,

the trigonal warping of the electron energy spectrum imposes

additional selection rules for the electron-electron scattering in

the neutrality point. Such selection rules represent the conditions

for the electron-hole binding in graphene. Thus, the appearance of

excitons actually is related with deviation of the electron dispersion

from the conic shape.