HALL-EFFECT IN TWO-DIMENSIONAL DISORDERED-SYSTEMS
HALL-EFFECT IN TWO-DIMENSIONAL DISORDERED-SYSTEMS
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DOI：
10.1143/jpsj.49.644
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发表时间：
1980-01-01
影响因子：
1.7
通讯作者：
FUKUYAMA, H
中科院分区：
文献类型：
--
作者：
FUKUYAMA, H
霍尔电导率σ xy在二维随机系统中被评估为低频ω处奇异行为的最高阶。在弱磁场下，结果为σ xy= σ xy 0 [1− 1 <$πε F τ ln 1 <$ωτ]，其中σ xy 0、ε F和τ分别是普通霍尔电导率、费米能和由于杂质散射引起的弛豫时间。这一结果与σ xx的结果一起表明，由霍尔系数导出的有效载流子数不含前导奇异项，而只是弛豫时间在数值上减少了。
The Hall conductivity, σ xy, is evaluated in two-dimensional random systems to the leading order of singular behavior at low frequency, ω. At weak magnetic field the result is σ xy= σ xy 0 [1− 1⁄ πε F τ ln 1⁄ ωτ] where σ xy 0, ε F and τ are ordinary Hall conductivity, the Fermi energy, and the relaxation time due to impurity scattering, respectively. This result together with that for σ xx indicates that the effective carrier number deduced from the Hall coefficient does not contain leading singular terms and that only the relaxation time is logarithmically reduced.