Solution of the Field Problem of the Germanium Gyrator
Solution of the Field Problem of the Germanium Gyrator
复制标题
锗回转器磁场问题的解决
DOI：
10.1063/1.1721725
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发表时间：
1954
期刊：
影响因子：
--
通讯作者：
R. Wick
中科院分区：
文献类型：
--
作者：
R. Wick
当存在霍尔效应时，假设只涉及一种类型的载流子并且没有表面复合，得到了涉及固体中电流的二维边值问题的数学解。该解决方案用于计算霍尔效应“回转器”的效率，这是一种违反互易定律的四端电路元件，作为相对电极尺寸，边界形状和磁场强度的函数。文中还指出了在短样品的霍尔电压和磁阻测量中如何进行修正，并在高达22000高斯的磁场下对部分结果进行了实验验证。计算已经进行了更高的领域，以及应证明有用的材料，如锑化铟的研究具有较高的迁移率比锗。
A mathematical solution is obtained of a two‐dimensional boundary‐value problem involving flow of electricity in a solid when Hall effect is present, it being assumed that only one type of carrier is involved and that there is no surface recombination. The solution is used to calculate the efficiency of a Hall‐effect ``gyrator,'' a four‐terminal circuit element which violates the reciprocity law, as function of relative electrode size, shape of boundary, and magnetic field strength. It is also shown how corrections must be applied in measurements of Hall voltage and magnetoresistance in short samples.Some of the results have been checked experimentally with fields up to 22 000 gauss. The calculations have been carried out for much higher fields as well and should prove useful in studies of materials such as indium antimonide which have higher mobilities than germanium.