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

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

2005-12-14

arxiv.org/abs/cond-mat/0512320v1

Phys. Rev. B 73, 045331 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages

Scientific paper

10.1103/PhysRevB.73.045331

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.

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