Magnetotransport in a quasi-one-dimensional electron system over superfluid helium

Magnetotransport in a nondegenerate quasi-one-dimensional electron system (Q1D) over superfluid helium is investigated experimentally. The experiments were carried out at perpendicular magnetic fields, B<= 2.6 T, in a temperature interval 0.48-2.05 K. The width of the conducting channels was from 100 to 400 nm. The longitudinal magnetoresistance ρxx of the conducting channels mainly grows with increasing B for both the electron-gas atom scattering (T > 0.9 K) and the electron-ripplon scattering (T < 0.9K). The experimental data obtained for the electron-gas scattering region are in good agreement with the classical Drude law. The data obtained for relatively high B and low T at ωcτ>1(here ωc is the cyclotron frequency and t is the relaxation time of the electron system) agree qualitatively with the self-consistent Born approximation theory for a 2D electron system over helium. It is supposed that the quantitative discrepancies in the experimental and theoretical data are connected with different peculiar features of the investigated and analyzed electron systems. The experimental data on electron mobility at low temperatures and small magnetic fields coincide with the theoretical calculation made for the Q1D system. The negative magnetoresistance of the channels observed both in the electron-gas scattering and electron-ripplon scattering regions is supposed to be due to weak localization of carriers in the investigated electron system