  The magnetoelectric response in inversion-breaking two dimensional Dirac
systems induced by strain is analyzed. It is shown that, in the same way that
the piezoelectric response in these materials is related to the valley Chern
number, the strain-induced magnetoelectric effect is related both to the non
trivial Berry curvature and the derivative of the orbital magnetic moment per
valley. This phenomenon allows to locally induce and control charge densities
by an external magnetic field in strained zones of the sample.
