JMP  Vol.1 No.3 , August 2010
A Model for the Quantization of the Hall Resistance in the Quantum Hall Effect
Author(s) Paul Bracken
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.

Cite this paper
nullP. 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.
[1]   J. K. Jain, “Composite Fermions, Perspectives in Quantum Hall Effects,” In: S. D. Sarma and A. Pinczuk Eds., J. Wiley and Sons, New York, 1987.

[2]   K. von Klitzing, G. Dorda and M. Pepper, “New Method for High-Accuracy Determination of the Fine Structure Constant Based on Quantized Hall Resistance,” Physics Review Letters, Vol. 45, No. 6, 1980, pp. 494-497.

[3]   R. B. Laughlin, “Quantized Hall conductivity in Two dimensions,” Physical Review B, Vol. 23, No. 10, 1981, pp. 5632-5633.

[4]   R. E. Prange and S. M. Girvin, “The Quantum Hall Effect,” Springer Verlag, New York, 1987.

[5]   Z. F. Ezawa, “The Quantum Hall Effects, Field Theoretical Approach and Related Topics,” World Scientific, Singapore, 2000.

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