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arXiv 0809.4353cond-mat.mtrl-sci
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顺磁半导体中的热弹自旋极化电子输运

Thermoballistic spin-polarized electron transport in paramagnetic semiconductors

R. Lipperheide, U. Wille

摘要:

在热弹输运模型中描述了顺磁相稀磁半导体(DMS)中自旋极化电子输运。在这个(半经典)模型中,弹道和扩散传输机制统一在一个热弹道电流,其中电子移动弹道跨越任意分布的局部热平衡点之间的间隔。每个间隔对电流的贡献取决于动量弛豫长度。自旋弛豫被假定发生在弹道电子运动。在暴露于外部磁场的顺磁性DMS中,导带由于巨大的塞曼效应而自旋分裂。为了处理这种情况,我们扩展了我们以前的配方的热弹自旋极化运输,以便考虑到任意(位置相关)自旋分裂的导带。电流和密度自旋极化以及磁阻分别获得的总和的平衡项所确定的自旋弛豫的化学势,和一个非平衡的贡献表示的自旋输运函数,这是有关的分裂的自旋分辨的化学势。的自旋弛豫化学势和自旋输运函数的计算程序进行了概述。作为一个说明性的例子,我们应用的热弹道描述的DMS/NMS/DMS异质结构形成的半导体样品(NMS)夹在两个DMS层之间的自旋极化输运。我们计算了这种情况下的电流自旋极化和磁电阻,在小的动量弛豫长度的限制下,发现我们的结果与电子输运的标准漂移扩散方法的结果一致。

英文摘要:

Spin-polarized electron transport in diluted magnetic semiconductors (DMS) in the paramagnetic phase is described within the thermoballistic transport model. In this (semiclassical) model, the ballistic and diffusive transport mechanisms are unified in terms of a thermoballistic current in which electrons move ballistically across intervals enclosed between arbitrarily distributed points of local thermal equilibrium. The contribution of each interval to the current is governed by the momentum relaxation length. Spin relaxation is assumed to take place during the ballistic electron motion. In paramagnetic DMS exposed to an external magnetic field, the conduction band is spin-split due to the giant Zeeman effect. In order to deal with this situation, we extend our previous formulation of thermoballistic spin-polarized transport so as to take into account an arbitrary (position-dependent) spin splitting of the conduction band. The current and density spin polarizations as well as the magnetoresistance are each obtained as the sum of an equilibrium term determined by the spin-relaxed chemical potential, and an off-equilibrium contribution expressed in terms of a spin transport function that is related to the splitting of the spin-resolved chemical potentials. The procedures for the calculation of the spin-relaxed chemical potential and of the spin transport function are outlined. As an illustrative example, we apply the thermoballistic description to spin-polarized transport in DMS/NMS/DMS heterostructures formed of a nonmagnetic semiconducting sample (NMS) sandwiched between two DMS layers. We evaluate the current spin polarization and the magnetoresistance for this case and, in the limit of small momentum relaxation length, find our results to agree with those of the standard drift-diffusion approch to electron transport.

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