Universal dephasing in a chiral 1D interacting fermion system

Details Universal dephasing in a chiral 1D interacting fermion system Universal dephasing in a chiral 1D interacting fermion system

2008-06-06

arxiv.org/abs/0806.1211v2

Physical Review Letters 102, 046806 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures; minor changes, version as published;

Scientific paper

10.1103/PhysRevLett.102.046806

We consider dephasing by interactions in a one-dimensional chiral fermion system (e.g. a Quantum Hall edge state). For finite-range interactions, we calculate the spatial decay of the Green's function at fixed energy, which sets the contrast in a Mach-Zehnder interferometer. Using a physically transparent semiclassical ansatz, we find a power-law decay of the coherence at high energies and zero temperature (T=0), with a universal asymptotic exponent of 1, independent of the interaction strength. We obtain the dephasing rate at T>0 and the fluctuation spectrum acting on an electron.

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