Abstract
The resistivity of two-dimensional electrons on the surface of liquid helium can be measured using the Sommer-Tanner technique in which a rectangular array of electrodes is placed beneath the liquid surface. An ac voltage is applied to one electrode and the phase of the signal at another electrode is measured. In zero magnetic field the phase shift φ 0 from that of purely capacitative coupling is proportional to the resistivity ρ 0 of the electron sheet. A simple expression is given for the phase shift in a magnetic field φ(B), which depends on both ρ xx and ρ xy , the components of the magnetoresistivity tensor, and on the aspect ratio of the electrodes. Experimental results are presented and analysed using this expression.
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Lea, M.J., Fozooni, P. & Frost, J. The Sommer-Tanner technique for measuring resistivity in a magnetic field. J Low Temp Phys 92, 189–200 (1993). https://doi.org/10.1007/BF00682336
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DOI: https://doi.org/10.1007/BF00682336