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

Abstract

We present a theory of magnetooscillations around the $\nu =1/2$ 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 $\exp \left[-(\pi /{\omega }_c{\tau }_{1/2}^{\ast }{)}^4\right]$ behavior of the amplitude of oscillations. This result is in good qualitative agreement with available experimental data.

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References in corpus (2)

• Localization of Charged Quantum Particles in a Static Random Magnetic Field
• Phase--coherence Effects in Antidot Lattices: A Semiclassical Approach to Bulk Conductivity

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