Dependence of inter-edge-channel scattering on temperature and magnetic field: Insight into the edge-confining potential.
Dependence of inter-edge-channel scattering on temperature and magnetic field: Insight into the edge-confining potential.
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边缘通道间散射对温度和磁场的依赖性：深入了解边缘限制潜力。
DOI：
10.1103/physrevb.52.11159
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
Toyoshima
中科院分区：
文献类型：
--
作者：
Hirai;Komiyama;Fukatsu;Osada;Shiraki;Toyoshima
研究了GaAs/AlxGa 1− xAs异质结中高迁移率二维电子气在磁场2.8- 4.5T范围内的边沟平衡长度Leq，温度为0.5≤ T≤ 11 K.在对应于ν= 4霍尔平台中心的磁场（3.4 T）处，L eq的倒数随着T的增加而增加，并且随着磁场B的增加而迅速减小以离开平台中心。这些数据的杂质和声子散射方面的分析是试图通过假设一个抛物线型的限制潜力。如果假设边间态间距ΔX远大于磁长l B（ΔX= 530 μ m，l B = 130 μ m），并且在所研究的磁场范围内几乎保持不变，则对观测到的T和B依赖关系进行了一致的分析。ΔX的大小几乎与B无关，这是一个意想不到的行为，这也与最近对边缘限制势的自洽计算不一致。讨论了抛物型约束势的有效性。
The inter-edge-channel equilibration length L eq of a high-mobility two-dimensional electron gas in a GaAs/Al x Ga 1− x As heterostructure is studied in the range of magnetic fields 2.8–4.5 T at temperatures of 0.5≤ T≤ 11 K. The inverse of L eq increases with increasing T at a magnetic field (3.4 T) corresponding to the center of the ν= 4 Hall plateau, and rapidly decreases with increasing magnetic field B to depart from the center of the plateau. An analysis of these data in terms of impurity and phonon scatterings is attempted by assuming a parabolic-type confining potential. The observed T and B dependences are consistently analyzed if the inter-edge-state spacing ΔX is assumed to be (i) much larger than the magnetic length l B (ΔX= 530 Å, l B∼ 130 Å) and (ii) kept nearly unchanged in the range of magnetic fields studied. That the size of ΔX is nearly independent of B is an unexpected behavior, which disagrees also with recent self-consistent calculations of the edge-confining potential. The validity of the assumed parabolic-type confining potential is discussed.