Long time relaxation phenomena of a two-dimensional electron system within 
integer quantum Hall plateau regimes after magnetic field sweeps

Huels, J.; Weis, J.; Smet, J.; von Klitzing, K.; Wasilewski, Z. R.

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Long time relaxation phenomena of a two-dimensional electron system within integer quantum Hall plateau regimes after magnetic field sweeps

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Huels, J.
Abteilung v. Klitzing, Former Departments, Max Planck Institute for Solid State Research, Max Planck Society;

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Weis, J.
Scientific Facility Nanostructuring Lab (Jürgen Weis), Max Planck Institute for Solid State Research, Max Planck Society;
Abteilung v. Klitzing, Former Departments, Max Planck Institute for Solid State Research, Max Planck Society;

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Smet, J.
Research Group Solid State Nanophysics (Jurgen H. Smet), Max Planck Institute for Solid State Research, Max Planck Society;
Abteilung v. Klitzing, Former Departments, Max Planck Institute for Solid State Research, Max Planck Society;

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von Klitzing, K.
Abteilung v. Klitzing, Former Departments, Max Planck Institute for Solid State Research, Max Planck Society;

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Citation

Huels, J., Weis, J., Smet, J., von Klitzing, K., & Wasilewski, Z. R. (2004). Long time relaxation phenomena of a two-dimensional electron system within integer quantum Hall plateau regimes after magnetic field sweeps. Physical Review B, 69(8): 085319.

Cite as: https://hdl.handle.net/21.11116/0000-000E-FB09-E

Abstract

For investigating a two-dimensional electron system (2DES) in high
magnetic fields and at temperatures below 0.1 K a single electron
transistor (SET) is directly fabricated on top of a GaAs/AlGaAs
heterostructure containing the 2DES underneath the surface. By using
the SET as a highly sensitive electrostatic potential probe, the
variation of the local electrostatic potential in the 2DES under the
SET can be observed. Sweeping the magnetic field over a Hall plateau
regime, a characteristic hysteresislike dependence of the local
electrostatic potential between up and down sweep is observed
indicating a nonequilibrium state for the 2DES. Stopping the magnetic
field in a Hall plateau regime, the relaxation of the nonequilibrium
potential distribution within the 2DES into the thermodynamic
equilibrium at very low temperatures can elapse over several hours. The
hysteresis effect is interpreted as the fingerprints of eddy currents
which are driven by induced electrochemical potential gradients across
the incompressible regions of the 2DES.