A Migdal Jump in the Quantum Hall Mode

The distribution function of particles over Landau levels is calculated in two-dimensional electron systems at high values of Wigner–Seits parameter r_s and in the mode of the quantum Hall effect. At low filling factors, the tail of the distribution function and the magnitude of the Migdal jump differ qualitatively from a Fermi liquid in a zero magnetic field. The Fermi-liquid distortion of the distribution function is strongly suppressed by the existence of a cyclotron energy gap.