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Composite fermions in fractional quantum Hall systems

REVIEW ARTICLE

John J Quinn1 and Arkadiusz Wójs1,2

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REVIEW ARTICLE

The composite-fermion (CF) picture offers a simple intuitive way of understanding many of the surprising properties of a strongly interacting two-dimensional electron fluid in a large magnetic field. The simple way in which the mean-field CF picture describes the low-lying bands of angular momentum multiplets for any value of the applied magnetic field is illustrated and compared with the results of exact numerical diagonalization of small systems. The reason for the success of the CF approach is discussed in some detail, and a CF hierarchy picture of the incompressible quantum fluid states is introduced. The CF picture is used to provide an understanding of the energy spectrum and photoluminescence of systems containing both electrons and valence band holes.


PACS

73.43.-f Quantum Hall effects

01.30.Rr Surveys and tutorial papers; resource letters

71.10.Pm Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)

Subjects

Condensed matter: electrical, magnetic and optical

Surfaces, interfaces and thin films

Education and communication

Dates

Issue 20 (22 May 2000)

Received 31 January 2000



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