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The line shape of the Shubnikov-de Haas (SdH) oscillation has been analyzedin detail for a GaAs/AlGaAs two-dimensional electron gas. The line shape, orequivalently the behavior of the Fourier components, of the experimentallyobserved SdH oscillation is well reproduced by the sinusoidal density of statesat the Fermi energy that oscillates with a magnetic field in a saw-tooth shapeto keep the electron density constant. This suggests that the broadening ofeach Landau level by disorder is better described by a Gaussian than by aLorentzian.

The effect of oscillating Fermi energy on the line shape of the Shubnikov-de Haas oscillation in a two dimensional electron gas