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

Entropy

Giacomo Rebora¹  Maura Sassetti¹  Dario Ferraro¹  FrançoisD. Parmentier²  RamiroH. Rodriguez²  Patrice Roche² 

[1] Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy;Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette, France;

关键词: electron quantum optics;    interaction effects;    relaxation;    dissipation;   

DOI  :  10.3390/e23020138

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown