Issue |
Europhys. Lett.
Volume 46, Number 6, June II 1999
|
|
---|---|---|
Page(s) | 775 - 779 | |
Section | Condensed matter: electronic structure, electrical, magneticand optical properties | |
DOI | https://doi.org/10.1209/epl/i1999-00331-2 | |
Published online | 01 September 2002 |
Semicircle: An exact relation in the integer and fractional quantum Hall effect
1
Department of Electronic Engineering, Princeton University
Princeton, New Jersey, 08544, USA
2
Bell Laboratories, Lucent Technologies - Murray Hill, New
Jersey, 07974, USA
Received:
22
October
1998
Accepted:
9
April
1999
We present experimental results on the quantized Hall insulator in
two dimensions. This insulator, with vanishing conductivities,
is characterized by the quantization (within experimental accuracy) of
the Hall resistance in units of the quantum unit of resistance, .
The measurements were performed in a two-dimensional hole system, confined in a
Ge/SiGe quantum well, when the magnetic field is increased above the
quantum Hall state. This quantization
leads to a nearly perfect semicircle relation
for the diagonal and Hall conductivities.
Similar results are obtained with a higher-mobility n-type modulation-doped
GaAs/AlGaAs sample, when the magnetic
field is increased above the
fractional quantum Hall state.
PACS: 73.40.Hm – Quantum Hall effect (integer and fractional) / 71.30.+h – Metal-insulator transitions and other electronic transitions / 72.80.Sk – Insulators
© EDP Sciences, 1999
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