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Electron-plasmon scattering in chiral one-dimensional systems with nonlinear dispersion

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Marquardt,  F.
Marquardt Group, Associated Groups, Max Planck Institute for the Science of Light, Max Planck Society;
University of Munich;
University of Erlangen Nuremberg, Inst Theoret Phys;

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Citation

Heyl, M., Kehrein, S., Marquardt, F., & Neuenhahn, C. (2010). Electron-plasmon scattering in chiral one-dimensional systems with nonlinear dispersion. PHYSICAL REVIEW B, 82(3): 033409. doi:10.1103/PhysRevB.82.033409.


Cite as: https://hdl.handle.net/21.11116/0000-0001-D7A0-7
Abstract
We investigate systems of spinless one-dimensional chiral fermions realized, e. g., in the arms of electronic Mach-Zehnder interferometers, at high energies. Taking into account the curvature of the fermionic spectrum and a finite interaction range, we find a new scattering mechanism where high-energy electrons scatter off plasmons (density excitations). This leads to an exponential decay of the single-particle Green's function even at zero temperature with an energy-dependent rate. As a consequence of this electron-plasmon scattering channel, we observe the coherent excitation of a plasmon wave in the wake of a high-energy electron resulting in the buildup of a monochromatic sinusoidal density pattern.