Bragg resonances for tunneling between edges of a 2D Quantum Hall system

Details Bragg resonances for tunneling between edges of a 2D Quantum Hall system Bragg resonances for tunneling between edges of a 2D Quantum Hall system

1996-07-18

arxiv.org/abs/cond-mat/9607133v1

Phys. Rev. Lett. 77, 4422 (1996)

Physics

Condensed Matter

4 pages RevTex, 2 figures

Scientific paper

10.1103/PhysRevLett.77.4422

A theory is presented for tunneling between compressible regions on the sides of a narrow incompressible Quantum Hall strip. Assuming that electron interactions lead to formation of a Wigner crystal on the edges of the compressible regions, we consider the situation when the non-conservation of electron 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 due to the Bragg condition, which leads to resonances in tunneling conductivity as a function of the incompressible strip width, similar to those reported recently by N. Zhitenev, M. Brodsky, R. Ashoori, and M. Melloch.

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