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Integer and fractional quantum Hall effects

Karol I Wysokinski

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The quantum Hall effect (QHE) is a set of phenomena observed at low temperature in a two-dimensional electron gas subject to a strong perpendicular magnetic field. It manifests itself as a quantization of the non-diagonal element ρxy of the resistivity tensor, accompanied by the simultaneous vanishing of ρxx for ranges of the magnetic field. For the integer quantum Hall effect (IQHE), ρxy = {he2}, where h is the Planck constant, e is the charge of an electron and ν is an integer, while for the fractional quantum Hall effect (FQHE), ν is a simple fraction. In spite of the similar phenomenology deep and profound differences between the two effects exist.

In the article I discuss the precision of the Hall quantization in IQHE and the new types of quantum fluids observed in FQHE. Some recent theoretical and experimental discoveries connected with quantum Hall liquids are briefly mentioned.


PACS

73.43.-f Quantum Hall effects

Subjects

Surfaces, interfaces and thin films

Dates

Issue 6 (November 2000)

Received 28 March 2000



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