de Haas van Alphen Effect in Strongly Interacting Systems

We present calculations of de Haas van Alphen (dHvA) oscillations for strongly interacting systems, for (1) systems near a quantum phase transition (QPT); and/or (2) 2D and quasi-2D systems. The standard Lifshitz-Kosevich (LK) results are then inapplicable. Near a QPT, the electronic interaction scale goes to zero, giving strong corrections to LK. In 2D, LK breaks down entirely in the presence of interactions. Recently, dHvA oscillations in high Tc systems have been measured, but their form does not yet rule out non-Fermi liquid behaviour. We calculate the expected magnetization response assuming various Fermi reconstruction scenarios. The response depends crucially on the inter-plane couplings, and we find deviations from LK if the reconstruction is interaction-driven.