Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-03-11
Clemens Neuenhahn et al 2008 New J. Phys. 10 115018
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
35 pages, 9 figures, see also C. Neuenhahn and F. Marquardt, arXiv:0806.1211 (Physical Review Letters 102, 046806 (2009))
Scientific paper
10.1088/1367-2630/10/11/115018
We consider a ballistic Mach-Zehnder interferometer for electrons propagating chirally in one dimension (such as in an integer Quantum Hall effect edge channel). In such a system, dephasing occurs when the finite range of the interaction potential is taken into account. Using the tools of bosonization, we discuss the decay of coherence as a function of propagation distance and energy. We supplement the exact solution by a semiclassical approach that is physically transparent and is exact at high energies. In particular, we study in more detail the recently predicted universal power-law decay of the coherence at high energies, where the exponent does not depend on the interaction strength. In addition, we compare against Keldysh perturbation theory, which works well for small interaction strength at short propagation distances.
Marquardt Florian
Neuenhahn Clemens
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