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The longitudinal conductivity σxx of the two-dimensional electron system on a liquid helium surface was measured as function of magnetic field for fields up to 4 Tesla. The temperature was in the range 1.4 < T < 2.0 K, so that scattering of electrons by vapour atoms is dominant. When the quantum limit is reached, which means that the Landau level separation \hbarωc is larger than the thermal energy kbT (\hbarωc/kbT≤4 under the present conditions), a deviation from the classical relation σxx~1/B2 is observed. A discussion is given based on a quantum transport theory.

Quantum Magnetoconductance of the Two-Dimensional Electron Gas on a Liquid Helium Surface