Electronic Wave-Packets in Integer Quantum Hall Edge Channels: Relaxation and Dissipative Effects

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