Ag. Aronov et al., THEORY OF SHUBNIKOV-DE HAAS OSCILLATIONS AROUND THE V=1 2 FILLING FACTOR OF THE LANDAU-LEVEL - EFFECT OF GAUGE-FIELD FLUCTUATIONS/, Physical review. B, Condensed matter, 52(7), 1995, pp. 4708-4711
We present a theory of magneto-oscillations around the v=1/2 Landau le
vel filling factor based on a model with a fluctuating Chern-Simons fi
eld. The quasiclassical treatment of the problem is appropriate and le
ads to an unconventioal exp-(pi/omega(c)tau(1/2)())(4) behavior of
the amplitude of oscillations. This result is in good qualitative agre
ement with available experimental data, although the experimental valu
e of tau(1/2)() exceeds considerably our theoretical estimate.