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Theory of Shubnikov--De Haas Oscillations Around the $ν=1/2$ Filling Factor of the Landau Level: Effect of Gauge Field Fluctuations

A. G. Aronov·E. Altshuler·A. D. Mirlin·P. Woelfle
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Abstract

We present a theory of magnetooscillations around the $ν=1/2$ Landau level filling factor based on a model with a fluctuating Chern--Simons field. The quasiclassical treatment of the problem is appropriate and leads to an unconventional $\exp\left[-(π/ω_cτ^*_{1/2})^4\right]$ behavior of the amplitude of oscillations. This result is in good qualitative agreement with available experimental data.

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A. G. Aronov, E. Altshuler, A. D. Mirlin, P. Woelfle. 1994-12-21. Theory of Shubnikov--De Haas Oscillations Around the $ν=1/2$ Filling Factor of the Landau Level: Effect of Gauge Field Fluctuations. https://doi.org/10.1103/physrevb.52.4708

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