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The Hall Effect in 2D Electrons on Liquid Helium

M. J. LeaDepartment of Physics, Royal Holloway & Bedford New College, University of London - Egham, Surrey TW20 0EX, UKA.O. StoneDepartment of Physics, Royal Holloway & Bedford New College, University of London - Egham, Surrey TW20 0EX, UKP. FozooniDepartment of Physics, Royal Holloway & Bedford New College, University of London - Egham, Surrey TW20 0EX, UK
1988en
ABI

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The a.c. Hall effect has been measured directly in a 2D sheet of free electrons above the surface of liquid helium at frequencies from 1.5 to 35 kHz in a magnetic field B up to 4 T. For small B the normal Hall effect is observed but at higher fields finite frequency effects occur as the 2D skin depth becomes less than the sample size. Calculations using the magneto-conductivity tensor for a 2D transmission line agree well with experiment, except in the high-field limit as quantum effects become significant.

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