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

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

1994-12-21

arxiv.org/abs/cond-mat/9412101v1

Physics

Condensed Matter

Revtex, 4 pages, 1 figure attached as PostScript file

Scientific paper

10.1103/PhysRevB.52.4708

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 $\exp\left[-(\pi/\omega_c\tau^*_{1/2})^4\right]$ behavior of the amplitude of oscillations. This result is in good qualitative agreement with available experimental data.

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