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Magnetoresistance effect obtained from the band structure of a crystalline solid

机译：由结晶固体的能带结构获得的磁阻效应

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This paper demonstrates that the Lorentz equation combined with the equation for electron drift in an external magnetic field gives a definite value for the relaxation time of the electron motion in a crystalline solid in the aforementioned field. The main result is that the product of the relaxation time and the strength of the magnetic field remain constant and are dependent only on the structure of the energy band of the solid. Free electrons, or nearly free electrons, result in the diagonal components of the tensor for magnetoresistance tending to zero for all electron states. For the electrons in a crystal lattice, the relaxation time considered along the cross-section line in the reciprocal space of a plane normal to the magnetic field and the surface of constant energy become highly anisotropic quantities. (c) 2007 Elsevier B.V. All rights reserved.
机译：本文证明，洛伦兹方程与外部磁场中电子漂移方程的组合给出了上述场中晶体固体中电子运动的弛豫时间的确定值。主要结果是，弛豫时间与磁场强度的乘积保持恒定，并且仅取决于固体能带的结构。自由电子或几乎自由电子会导致张量的对角线分量的磁阻在所有电子状态下趋于零。对于晶格中的电子，在垂直于磁场的平面和恒定能量的表面的倒数空间中沿截面线考虑的弛豫时间变为高度各向异性的量。 （c）2007 Elsevier B.V.保留所有权利。

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