Piezoelectric coupling, phonons, and tunneling into a quantum Hall edge

Abstract

We show that the piezoelectric coupling to three-dimensional phonons in GaAs renormalizes the current-voltage exponent for tunneling of electrons into an incompressible quantum Hall edge. The leading correction is always negative, in agreement with experiments on the $\nu =1/3$ state and, depending on the precise value of the edge plasmon speed, can be as large as a few percent. We also discuss higher-order corrections, which determine the effect of the piezoelectric coupling in the extreme infrared limit.

5 pages

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Cited by in corpus (5)

• Environmental induced renormalization effects in quantum Hall edge states
• Mach-Zehnder interferometry of fractional quantum Hall edge states
• Transport of fractional Hall quasiparticles through an antidot
• Different fractional charges from auto- and cross-correlation noise in quantum Hall states without upstream modes
• Fractional charge revealed in computer simulations of resonant tunneling in the fractional quantum Hall regime