FIELD DEPENDENCE OF MAGNETOCONDUCTIVITY
FIELD DEPENDENCE OF MAGNETOCONDUCTIVITY
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DOI：
10.1103/physrev.101.1642
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发表时间：
1956-01-01
期刊：
影响因子：
--
通讯作者：
MCCLURE, JW
中科院分区：
文献类型：
--
作者：
MCCLURE, JW
本文对具有一般电子能带结构的晶体的电导率张量的元素随磁场的变化进行了理论计算。假设玻尔兹曼方程是有效的，并且存在依赖于能量的弛豫时间。其结果与电子气体叠加的结果相同，电子气体的回旋频率是谐波相关的。谐波的强度取决于能带结构;特别是，它们之间存在对称性所要求的某些关系。电导率张量的对角元素被发现是磁场强度的单调递减函数。扩展到交变电场的计算揭示了回旋共振中的谐波。
A theoretical calculation of the magnetic field dependence of the elements of the conductivity tensor has been performed for a crystal with a general electronic energy band structure. It was assumed that the Boltzmann equation is valid, and that an energy-dependent relaxation time exists. The results are the same as would be given by a superposition of electron gases, whose cyclotron frequencies are related harmonically. The strengths of the harmonics depend upon the energy band structure; in particular, there are certain relations among them which are required by symmetry. The diagonal elements of the conductivity tensor are found to be monotonically decreasing functions of the magnetic field strength. Extension of the calculation to alternating electric fields reveals harmonics in the cyclotron resonance.