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arXiv quant-ph/0612183quant-ph
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三端量子环中自旋极化电子的干涉诱导制备

Interference induced preparation of spinpolarized electrons in a three-terminal quantum ring

Orsolya Kalman, Peter Foldi, Mihaly G. Benedict, F. M. Peeters

摘要:

本文给出了一维单输入双输出介观环中自旋轨道相互作用下自旋相关量子输运问题的精确解析解。我们证明,对于适当的参数,在环中的空间干涉导致的行为类似的斯特恩-格拉赫装置:不同的自旋极化可以实现在两个输出通道从原来完全非极化的传入自旋状态。它示出,这需要一个适当的干扰状态,携带相反方向的电流。我们发现,自旋极化是可能的几种几何形状,包括当设备是不对称的情况下,相对于传入的铅。一个明确的连接之间建立的斯特恩-格拉赫类属性的设备和相关的Aharonov-Casher阶段的环路几何形状。

英文摘要:

We present an exact, analytic solution of the spin dependent quantum transport problem with spin-orbit interaction in a one-dimensional mesoscopic ring with one input and two output leads. We demonstrate that for appropriate parameters spatial interference in the ring leads to a behavior analogous to that of the Stern-Gerlach apparatus: different spin polarizations can be achieved in the two output channels from an originally totally unpolarized incoming spin state. It is shown that this requires an appropriate interference of states that carry oppositely directed currents. We find that spin polarization is possible for several geometries, including the case when the device is not symmetric with respect to the incoming lead. A clear connection is established between the Stern-Gerlach like property of the device and the relevant Aharonov-Casher phases in the loop geometry.

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