Rebora Giacomo, Ferraro Dario, Rodriguez Ramiro H, Parmentier François D, Roche Patrice, Sassetti Maura
Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy.
SPIN-CNR, Via Dodecaneso 33, 16146 Genova, Italy.
Entropy (Basel). 2021 Jan 22;23(2):138. doi: 10.3390/e23020138.
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.
我们从理论上研究了在填充因子等于2时，沿整数量子霍尔边缘通道弹道传播的能量分辨电子波包峰值高度的演化。这最终与在不同注入能量下评估的费米子激发的弹性散射振幅有关。我们假设边缘之间存在短程电容耦合来研究这个量。此外，我们还从现象学角度考虑了注入能量向额外自由度（线性和二次）的能量耗散可能性。通过与最近的实验数据进行比较，我们排除了无耗散情况以及耗散的二次依赖性，表明线性能量损失率是描述足够短传播长度下准粒子峰值行为的最佳候选者。
