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Using the dynamical mean field theory we investigate the magnetic fielddependence of DC conductivity in the Hubbard model on the square lattice, fullytaking into account the orbital effects of the field introduced via the Peierlssubstitution. In addition to the conventional Shubnikov-de Haas quantumoscillations, associated with the coherent cyclotron motion of quasiparticlesand the presence of a well-defined Fermi surface, we find an additionaloscillatory component with a higher frequency that corresponds to the totalarea of the Brillouin zone. These paradigm-breaking oscillations appear atelevated temperature. This finding is in excellent qualitative agreement withthe recent experiments on graphene superlattices. We elucidate the key roles ofthe off-diagonal elements of the current vertex and the incoherence ofelectronic states, and explain the trends with respect to temperature anddoping.

Universal magnetic oscillations of DC conductivity in the incoherent regime of correlated systems