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

S. Khlebnikov
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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 $ν= 1/3$ 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.

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S. Khlebnikov. 2005-12-14. Piezoelectric coupling, phonons, and tunneling into a quantum Hall edge. https://doi.org/10.1103/physrevb.73.045331

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