Introduction to Quantum Hall Effects

• Authors: K. Wysokiński
• Languages of publication: EN

Abstracts

EN

The quantum Hall effect 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 nondiagonal elements (ρ_{xy}) of the resistivity tensor accompanied by simultaneous vanishingρ_{xx} for ranges of the magnetic field. For the integer quantum Hall effectρ_{xy}= h/νe^2, where h is the Planck constant, e - charge of an electron andν is an integer, while for the fractional quantum Hall effectν is a simple fraction. In spite of similar phenomenology deep and profound differences exist between these two effects. In the lecture the precision of the Hall quantization in the integer quantum Hall effect and briefly new types of quantum fluids observed in the fractional quantum Hall effect are discussed. Some recent theoretical and experimental discoveries connected with quantum Hall liquids are also mentioned.

Keywords

EN

73.43.-f; 73.40.-c; 73.50.Fq

Discipline

• 73.40.-c: Electronic transport in interface structures
• 73.43.-f: Quantum Hall effects
• 73.50.Fq: High-field and nonlinear effects

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2001
• Volume: 100
• Issue: 3
• Pages: 287-299

Dates

published

2001-09

received

2001-06-01

Contributors

author

K. Wysokiński

• Institute of Physics, M. Curie-Skłodowska University, Radziszewskiego 10, 20-031 Lublin, Poland

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Identifiers

DOI

10.12693/APhysPolA.100.287