Suppression of inter-edge-state equilibration due to multiple scattering with impurities.
Suppression of inter-edge-state equilibration due to multiple scattering with impurities.
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由于杂质的多重散射而抑制边缘态平衡。
DOI：
10.1103/physrevb.44.9084
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
Feng
中科院分区：
文献类型：
--
作者：
Mártin;Feng
从理论上分析了多杂质散射对整数量子霍尔效应中边缘态间的各种平衡过程的影响。在适用于很低杂质浓度的Born(单次散射)近似下，发现在强磁场中，边缘态之间的弹性和非弹性(声子)散射都被抑制。当杂质浓度较高时，微扰序列中的高阶项主导平衡过程。我们使用类似于可变距离跳跃理论中的那些论点来推导出相邻边缘态之间的多次散射辅助平衡率。结果表明，与Born近似下的高斯抑制相比，对散射的抑制是指数型的。我们还发现，在这个机制中，声子发射的动量能量守恒要求被放宽了。
We present a theoretical analysis of the effect of multiple impurity scattering on the various equilibration processes between the edge states in the integer quantum Hall effect. In the Born (single-scattering) approximation, which is valid for very low impurity concentrations, it was found that both the elastic and inelastic (phonon) scattering between the edge states are suppressed in high magnetic fields. In the presence of higher impurity concentrations, the higher-order terms in the perturbation series dominate the equilibration process. We use arguments similar to those in the variable-range-hopping theory to derive a multiple-scattering-assisted equilibration rate between neighboring edge states. The results show an {ital exponential} suppression of scattering, as compared with the Gaussian suppression in the Born approximation. We also found that the momentum-energy-conservation requirements for phonon emission are relaxed in this mechanism.