Bragg Resonances for Tunneling Between Edges of a 2D Quantum Hall System

Phys. Rev. Lett. 77, 4422 – Published 18 November 1996
M. B. Hastings and L. S. Levitov


A theory is presented for tunneling across a narrow incompressible quantum Hall strip. Assuming that interactions lead to a Wigner crystal forming on the edges of the compressible regions around the strip, we consider the situation when the nonconservation of momentum required for transport is provided, in the absence of disorder, by umklapp scattering on the crystal. The momentum given to the crystal is quantized by the Bragg condition, which leads to resonances in tunneling conductivity as a function of strip width, similar to those reported recently by N. Zhitenev et al.


  • Received 18 July 1996
  • Published in the issue dated 18 November 1996

© 1996 The American Physical Society

Authors & Affiliations

M. B. Hastings and L. S. Levitov

  • Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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