Abstract
Recent de Haas\char21{}van Alphen (dHvA) experiments on high-${T}_{c}$ compounds have been interpreted using Lifshitz-Kosevich (LK) theory, which ignores many-body effects. However in quasi-2d systems, interactions plus Landau-level quantization give strong singularities in the self-energy $\ensuremath{\Sigma}$ and the thermodynamic potential $\ensuremath{\Omega}$. These are rapidly suppressed as one increases the c-axis tunneling amplitude ${t}_{\ensuremath{\perp}}$ and/or impurity scattering. We show that interaction effects should show up in these experiments, and that they can lead to strong deviations from LK behavior. Moreover, dHvA experiments in quasi-2d systems should clearly distinguish between Fermi-liquid and non-Fermi-liquid states, for sufficiently weak impurity scattering.
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