Regensburg 2010 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 8: CE: (General) Theory

TT 8.5: Vortrag

Montag, 22. März 2010, 15:00–15:15, H21

Electron-plasmon scattering in chiral 1D systems with non-linear dispersion — Markus Heyl, Stefan Kehrein, Florian Marquardt, and •Clemens Neuenhahn — Department of Physics, Arnold Sommerfeld Center for Theoretical Physics,Center for NanoScience, Ludwig Maximilians Universität München, Munich, Germany

We investigate systems of spinless one dimensional chiral electron systems occuring, e.g., in the arms of electronic Mach-Zehnder interferometers. We take into account both the curvature of the fermionic spectrum and a finite interaction range. The main observation is that due to an interplay of both, an injected high-energy fermion will scatter off plasmons (density variations) leading to an exponential decay of the single particle Green’s function (GF) on top of the expected power-law decay even at zero temperature. Remarkably, it turns out that this happens in a coherent fashion, such that a monochromatic sinusoidal density pattern builds up. While one dimensional fermionic systems with linear dispersion relation are described perfectly well by means of bosonizing the system, introducing a finite curvature requires alternative techniques. Here a semiclassical ansatz for the GF is employed whose validity in the low-energy regime was shown earlier [1] and which is extended naturally. Additionally, we make use of a slightly modified version of the method proposed in [2].
[1] C.Neuenhahn and F. Marquardt, PRL 102, 046806 (2009)
[2] M.Pustilnik et al, PRL 96, 196405 (2006)