  In contrast with carbon nanotubes, the absence of translational symmetry (or
periodical boundary condition) in the restricted direction of zigzag graphene
nanoribbon removes the selection rule of subband number conservation. However,
zigzag graphene nanoribbons with even dimers do have the inversion symmetry.
We, therefore, propose a selection rule of parity conservation for
electron-phonon interactions. The electron-phonon scattering matrix in zigzag
graphene nanoribbons is developed using the tight-binging model within the
deformation potential approximation.
