Semicircle: An exact relation in the Integer and Fractional Quantum Hall Effect

Details Semicircle: An exact relation in the Integer and Fractional Quantum Hall Effect Semicircle: An exact relation in the Integer and Fractional Quantum Hall Effect

1998-10-18

arxiv.org/abs/cond-mat/9810217v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

2 pages, 2 figures

Scientific paper

10.1209/epl/i1999-00331-2

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, h/e^2. 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 nu=1 quantum Hall state. This quantization leads to a nearly perfect semi-circle 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 nu=1/3 fractional quantum Hall state.

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