Bulk Versus Edge in the Quantum Hall Effect

Preprint English OPEN
Kao, Y. -C. ; Lee, D. -H. (1996)

The manifestation of the bulk quantum Hall effect on edge is the chiral anomaly. The chiral anomaly {\it is} the underlying principle of the ``edge approach'' of quantum Hall effect. In that approach, $\sxy$ should not be taken as the conductance derived from the space-local current-current correlation function of the pure one-dimensional edge problem.
  • References (23)
    23 references, page 1 of 3

    2 R.B. Laughlin, Phys. Rev. B 23, 5632 (1981).

    3 We emphasize that here we have used the basic fact of quantum Hall effect, i.e., σxx = 0 and σxy 6= 0.

    4 W.P. Su and J.R. Schrieffer, Phys. Rev. Lett. 46, 738 (1981).

    5 J. Goldstone and F. Wilczek, Phys. Rev. Lett. 47, 986 (1981).

    6 C.G. Callan, Jr. and J.A. Harvey, Nucl. Phys. B 250, 427 (1985).

    7 Streda, J. Kucera and A.H. MacDonald, Phys. Rev. Lett. 59, 1973 (1987).

    8 J.K. Jain and S.A. Kivelson, Phys. Rev. B 37, 4276 (1988).

    9 M. Buttiker, Phys. Rev. B 38,9375 (1988).

    10 The minus sign in the second equation is due to the fact that under the geometry we defined earlier, the edge current flows in the −xˆ direction.

    11 For a review, see X.-G. Wen, Adv. Phys. 44, 405 (1995).

  • Metrics
    No metrics available
Share - Bookmark