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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

1995; American Physical Society; Volume: 52; Issue: 7 Linguagem: Inglês

10.1103/physrevb.52.4708

1095-3795

A. G. Aronov, E. Altshuler, A. D. Mirlin, P. Wölfle,

Topological Materials and Phenomena

We present a theory of magneto-oscillations around the \ensuremath{\nu}=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[-(\ensuremath{\pi}/${\mathrm{\ensuremath{\omega}}}_{\mathit{c}}$${\mathrm{\ensuremath{\tau}}}_{1/2}^{\mathrm{*}}$${)}^{4}$] behavior of the amplitude of oscillations. This result is in good qualitative agreement with available experimental data, although the experimental value of ${\mathrm{\ensuremath{\tau}}}_{1/2}^{\mathrm{*}}$ exceeds considerably our theoretical estimate.