1303.7290 (Ji Luo)

Complete Dirac equation of graphene electrons in an electromagnetic
field and their novel spin    [PDF]

Ji Luo

The complete Dirac equation (DE) and its velocity operator of graphene electrons in an electromagnetic field are obtained according to tight-binding (TB) k.p method. With extra terms included, they demonstrate graphene electronic motion more completely through a more complete Ehrenfest theorem and present finer properties of graphene electrons. Eigen-energy given by the complete DE for field-free graphene indicates that extra terms may affect the trembling motion of graphene electrons. For graphene in a magnetic field, eigen-energy given by the complete DE suggests that graphene electrons have a new kind of spin of a boson other than true electronic spin and the pseudo-spin of the Dirac particle, which will modify graphene properties such as its optical spectra.

View original: http://arxiv.org/abs/1303.7290