Ballistic transport under quantum Hall effect conditions

The paper addresses details of the single-particle electron spectrum ϵl(p) in narrow Coulomb channels (l is the transverse spectrum part discrete index and p is the continuous longitudinal electron momentum). The channel is said to be narrow if differences between transverse spectrum branches ϵl(p) are larger than temperature. Considered are two extreme cases with respect to magnetic field. For the first case where ϵF≥ℏωc, the spectrum ϵl(p) first calculated by Stern et al. numerically is obtained with approximate analytical analysis (here ϵF is the Fermi energy of the 2D electron system ℏωc is the cyclotron frequency). In the second case the proposed formalism is extended to high magnetic fields satisfying the inequality ϵF≤ℏωc. Calculated results are compared with available experimental data.