Gaussian quadrature and lattice discretization of the Fermi-Dirac distribution for graphene
Gaussian quadrature and lattice discretization of the Fermi-Dirac distribution for graphene
We construct a lattice kinetic scheme to study electronic flow in graphene. For this purpose, we first derive a basis of orthogonal polynomials, using as the weight function the ultrarelativistic Fermi-Dirac distribution at rest. Later, we use these polynomials to expand the respective distribution in a moving frame, for both …