Quantum galvanomagnetic effects in a nondegenerate two-dimensional electron gas at liquid helium surface

The longitudinal conductivity of a two-dimensional electron layer at the helium surface is investigated theoretically in the presence of a quantizing magnetic field normal to the liquid-vapor interface. It is shown by using Kubo’s expression for σxx and a semielliptical shape for the density of states that the electron-ripplon scattering in the low-temperature region may cause a peak on the temperature dependence of longitudinal conductivity and magnetoresistance. The obtained results help in explaining the experimentally observed low-temperature anomalies in the magnetoresistance of surface electrons in helium.

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