Abstract
We have measured the de Haas–van Alphen (dHvA) oscillations of a gated two-dimensional electron system formed in a modulation-doped AlGaAs/GaAs heterojunction by means of a novel and highly sensitive cantilever magnetometer. We achieve a sensitivity of 5 × 10 - 16 J / T at a magnetic field B = 10 T by detecting the deflection of the cantilever using a fiber optic interferometer. The dHvA oscillation at ν = 1 yields a thermodynamic energy gap that scales linearly with the applied magnetic field for B > 3 T . The slope corresponds to an exchange enhanced g factor g * = 3.5 ± 0.3 originating from electron–electron interaction in the spin-polarized state of the 2DES.
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