de Haas–van Alphen effect in a strongly correlated electron gas

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Abstract
We investigate the de Haas–van Alphen (dHvA) oscillations in a two-dimensional (2D) strongly correlated electron system. The normal state is described by the fluxless phase, or uniform resonating valence bond. In the quantum limit, we find that one regime has the conventional 2D dHvA sawtooth behavior, another has square-wave behavior with a reduced amplitude, and the third exhibits intervals of constant magnetization separated by discontinuous jumps to dHvA 2D linear-field-variation behavior. The dHvA oscillation frequency is unchanged in all regimes, and corresponds to Luttinger’s Fermi surface.