SLIZOVSKIY, S. and BETOURAS, J.J., 2012. Nonlinear magnetization of graphene. Physical Review B, 86 (125440), 7pp.
We compute the magnetization of graphene in amagnetic field, taking into account for generality the possibility
of a mass gap. We concentrate on the physical regime where quantum oscillations are not observed due to the
effect of the temperature or disorder and show that the magnetization exhibits nonlinear behavior as a function of
the applied field, reflecting the strong nonanalyticity of the two-dimensional effective action of Dirac electrons.
The necessary values of the magnetic field to observe this nonlinearity vary from a few teslas for very clean
suspended samples to 20–30 T for good samples on substrate. In the light of these calculations, we discuss the
effects of disorder and interactions as well as the experimental conditions under which the predictions can be