On the spectrum of the two-dimensional periodic Dirac operator

We prove the absolute continuity of the Dirac operator spectrum in $\mathbf R^2$ with the scalar potential $V$ and the vector potential $A=(A_1,A_2)$ being periodic functions $($with a common period lattice$)$ such that $V,A_j\in L^q_{\operatorname{loc}}(\mathbf R^2)$, $q>2$.