On homogenization of the periodic Dirac operator

We study homogenization problem for the two-dimensional periodic Dirac operator with the help of operator-theoretic approach to homogenization for matrix elliptic second order differential operators suggested by M. Sh. Birman and T. A. Suslina. Approximations of the resolvent of the Dirac operator with non-singular and singular magnetic potentials in the L₂-operator norm with sharp order error estimates are obtained.