Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects

Abstract

We theoretically investigate the evolution of the peak height of an energy resolved electronic wave-packets ballistically propagating along integer quantum Hall edge channels at filling factor $\nu =2$. This is ultimately related to the elastic scattering amplitude for the fermionic excitations evaluated at different injection energy. We investigate this quantity assuming a short range capacitive coupling between the edges. Moreover, we also take into account phenomenologically the possibility of energy dissipation towards additional degrees of freedom both linear and quadratic in the injection energy. Comparing with recent experimental data, we rule out the non-dissipative case as well a quadratic dependence of the dissipation, indicating a linear energy loss rate as the best candidate to describe the behavior of the quasi-particle peak at short enough propagation lengths.

13 pages, 3 figures

References in corpus (12)

• An On-Demand Coherent Single Electron Source
• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Electrical control of a solid-state flying qubit
• Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
• Tuning Energy Relaxation along Quantum Hall Channels
• Electron quantum optics in quantum Hall edge channels
• Real time decoherence of Landau and Levitov quasi-particles in quantum Hall edge channels
• Decoherence and relaxation of a single electron in a one dimensional conductor
• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Quantum detection of electronic flying qubits
• Environmental induced renormalization effects in quantum Hall edge states