A Model for the Quantization of the Hall Resistance in the Quantum Hall Effect
Paul Bracken
DOI: 10.4236/jmp.2010.13023   PDF    HTML     6,887 Downloads   11,301 Views   Citations

Abstract

Some aspects of anyon physics are reviewed with the intention of establishing a model for the quantization of the Hall conductance. A single particle Schrödinger model is introduced and coupled with a constraint equation formulated from the anyon picture. The Schrödinger equation-constraint system can be converted to a single nonlinear differential equation and solutions for the model can be produced.

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P. Bracken, "A Model for the Quantization of the Hall Resistance in the Quantum Hall Effect," Journal of Modern Physics, Vol. 1 No. 3, 2010, pp. 158-162. doi: 10.4236/jmp.2010.13023.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[6] R. B. Laughlin, “Fractional Quantization,” Reviews of Modern Physics, Vol. 71, No. 4, 1999, 863-874.

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