  The effect of vacuum polarization in the field of an infinitesimally thin
solenoid at distances much larger than the radius of solenoid is investigated.
The induced charge density and induced current are calculated. Though the
induced charge density turned out to be zero, the induced current is finite
periodical function of the magnetic flux $\Phi$. The expression for this
function is found exactly in a value of the flux. The induced current is equal
to zero at the integer values of $\Phi/\Phi_0$ as well as at half-integer
values of this ratio, where $\Phi_0=2\pi\hbar c/e$ is the elementary magnetic
flux. The latter is a consequence of the Furry theorem and periodicity of the
induced current with respect to magnetic flux. As an example we consider the
graphene in the field of solenoid perpendicular to the plane of a sample.
