ENERGY BANDS IN THE PRESENCE OF AN EXTERNAL FORCE FIELD .2. ANOMALOUS VELOCITIES
ENERGY BANDS IN THE PRESENCE OF AN EXTERNAL FORCE FIELD .2. ANOMALOUS VELOCITIES
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DOI：
10.1016/0022-3697(59)90004-6
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发表时间：
1959-01-01
影响因子：
4
通讯作者：
BLOUNT, EI
中科院分区：
文献类型：
--
作者：
ADAMS, EN;BLOUNT, EI
将场修正能带理论扩展到弱散射力对能带结构的影响。修正的电流算符被发现包含了先前由karplusand luttinger（物理学）处理过的一类给出异常电流的项。Rev.95, 1154（1954）与铁磁体的导电有关。讨论了这些电流的物理意义，并证明它们类似于狄拉克电子理论中的自旋相关电流。它们可以被正式地认为是由coördinates的分量的不可交换性引起的。结果表明，这种与加速度成正比的电流是由各种加速机制引起的，包括散射机制。导出了包含异常流的经典输运理论，该理论适用于每次碰撞动量转移较小的散射机制，并通过实例进行了一个非常简单的问题。对于任意散射机制和重叠带的一般情况，给出了包含异常输运流的形式理论。最后，对铁磁性中自发霍尔效应的一些最新理论进行了批判。
The theory of field-modified energy bands is extended to include the effect of weak scattering forces on the energy band structure. The modified current operator is found to contain terms giving anomalous currents of a type previously treated byKarplusandLuttinger(Phys. Rev.95, 1154 (1954) in connection with electrical conduction in ferromagnets. The physical meaning of these currents is discussed, and they are shown to be analogous to spin-dependent currents in Dirac's theory of the electron. They may be regarded formally as resulting from a non-commutability of the components of the coördinates. It is shown that such currents, proportional to the acceleration, are caused by every accelerating mechanism, including scattering mechanisms. A classical transport theory including the anomalous currents is derived, valid for scattering mechanisms for which the momentum transfer per collision is small, and a very simple problem carried through by way of example. A formal theory including the anomalous transport currents is given for the general case of arbitrary scattering mechanism and overlapping bands. Finally, a critique is given of some recent theories of the spontaneous Hall effect in ferromagnetics.