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Chiral anomaly and the rational quantization of the Hall conductance

Publication ,  Journal Article
Friedman, MH; Sokoloff, JB; Widom, A
Published in: Phys. Rev. Lett. (USA)
1984

The quantum Hall effect is shown to be equivalent to a chiral anomaly i quantum electrodynamics. The integers n1 and n2 in the rationally quantized Hall conductance g=(e2/2πℏ)(n1/n2) arise from vortex excitations carrying n1 electrons and n2 flux quanta. It is found that n2=2j, where j=l+1/2 is the angular momentum per electron in the vortex. This explains the odd-denominator rule n2=2l+1

Duke Scholars

Published In

Phys. Rev. Lett. (USA)

DOI

Publication Date

1984

Volume

52

Issue

18

Start / End Page

1587 / 1589

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Friedman, M. H., Sokoloff, J. B., & Widom, A. (1984). Chiral anomaly and the rational quantization of the Hall conductance. Phys. Rev. Lett. (USA), 52(18), 1587–1589. https://doi.org/10.1103/PhysRevLett.52.1587
Friedman, M. H., J. B. Sokoloff, and A. Widom. “Chiral anomaly and the rational quantization of the Hall conductance.” Phys. Rev. Lett. (USA) 52, no. 18 (1984): 1587–89. https://doi.org/10.1103/PhysRevLett.52.1587.
Friedman MH, Sokoloff JB, Widom A. Chiral anomaly and the rational quantization of the Hall conductance. Phys Rev Lett (USA). 1984;52(18):1587–9.
Friedman, M. H., et al. “Chiral anomaly and the rational quantization of the Hall conductance.” Phys. Rev. Lett. (USA), vol. 52, no. 18, 1984, pp. 1587–89. Manual, doi:10.1103/PhysRevLett.52.1587.
Friedman MH, Sokoloff JB, Widom A. Chiral anomaly and the rational quantization of the Hall conductance. Phys Rev Lett (USA). 1984;52(18):1587–1589.

Published In

Phys. Rev. Lett. (USA)

DOI

Publication Date

1984

Volume

52

Issue

18

Start / End Page

1587 / 1589

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences