Single-Electron Transistor Probes Two-Dimensional Electron System in the Quantum Hall Regime

Landau level depopulation with increasing magnetic field in a two-dimensional electron system, measured by a single-electron transistor acting as local electrometer.

© MPI-FKF / Y.Y. Wei

Metallic single-electron transistors (SETs) have been used as sensitive local electrometers to monitor electrostatic potential variations inside quantum Hall samples at temperatures below 0.1 Kelvin. Probing the bulk of the two-dimensional electron system (2DES), the chemical potential variations of the 2DES versus magnetic field were directly measured.

The depopulation of Landau levels with increasing magnetic field is directly visible. By the SET as local probe we see that, sweeping the applied magnetic field into the regime of a quantum Hall plateau, bulk and edge region of the 2DES are strongly driven out of equilibrium even at smallest sweep rates. Stopping the sweep inside the quantum Hall regime, the equilibration of bulk and edge may even last hours. To probe the depletion region of the 2DES, a gate electrode was used to redefine the 2DES edge close to the SET by electrostatic depletion. Compressible and incompressible regions have been visualized.


Single-electron transistor as an electrometer measuring chemical potential variations
Y.Y. Wei, J. Weis, K. v. Klitzing, K. Eberl
Applied Physics Letters 71, 2514 (1997)

Study of the chemical potential of a two-dimensional electron system using a single-electron transistor
Y.Y. Wei, J. Weis, K. von Klitzing, K. Eberl
Physica E 1, 135 (1997)

Single-electron transistor as an electrometer on a two-dimensional electron system
Y.Y. Wei, J. Weis, K. v. Klitzing, K. Eberl
Physica B 251, 496 (1998)

Edge strips in the quantum Hall regime imaged by a single-electron transistor
Y.Y. Wei, J. Weis, K. von Klitzing, K. Eberl
Physical Review Letters 81, 1674 (1998)

Probing the depletion region of a two-dimensional electron system in high magnetic fields
J. Weis, Y.Y. Wei, K. von Klitzing
Physica B 256, 1 (1998)

Fine structure in the local chemical potential of a two-dimensional-electron system at filling factor ν=2/3
J. Huls, J. Weis, K. von Klitzing, K. Eberl
Physica E 6, 64 (2000)

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

Eddy currents in the integer quantum Hall regime spatially resolved by multiple single-electron transistor electrometers
T. Klaffs, V.A.  Krupenin, J. Weis, F.J. Ahlers
Physica E 22, 737 (2004)


Two-Dimensional Electron System in Quantum Hall Regime Probed by Metal Single-Electron Transistor
Yayi Wei, Dissertation, Universität Stuttgart (1998)

Experimente zur Potentialverteilung zweidimensionaler Elektronensysteme im ganz- und gebrochenzahligen Quanten-Hall-Bereich mit Hilfe eines Einzelelektron-Transistors als Elektrometer
Jan Hüls, Dissertation, Universität Hamburg (2001)

Einzelelektronen-Transistoren auf Spitzen zur Verwendung in der Rastersondenmikroskopie bei tiefen Temperaturen
Jochen Weber, Dissertation, Technische Universität Ilmenau (2009)

Scanning Single-Electron Transistor Array Microscope to Probe a Two-Dimensional Electron System under Quantum Hall Conditions below 40 milli-Kelvin
Marcel D. Mausser, Dissertation, Universität Stuttgart (2017)

Annual Reports

Single-electron transistor probes two-dimensional electron system (pdf)
J. Weis, Y.Y. Weis, K. v. Klitzing, K. Eberl (1997)

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