Decoherence of high-energy electrons in weakly disordered quantum Hall edge states
arXiv:1606.08574 · doi:10.1103/PhysRevB.94.041407
Abstract
We investigate theoretically the phase coherence of electron transport in edge states of the integer quantum Hall effect at filling factor , in the presence of disorder and inter-edge state Coulomb interaction. Within a Fokker-Planck approach, we calculate analytically the visibility of the Aharonov-Bohm oscillations of the current through an electronic Mach-Zehnder interferometer. In agreement with recent experiments, we find that the visibility is independent of the energy of the current-carrying electrons injected high above the Fermi sea. Instead, it is the amount of disorder at the edge that sets the phase space available for inter-edge state energy exchange and thereby controls the visibility suppression.
arXiv comment5 pages + supplement, 3 figures
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