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arXiv 0708.1504cond-mat.mes-hallcond-mat.mtrl-sciquant-ph
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自旋量子点中自旋顺序注入局域自旋反转的理论研究

Theoretical study of a localized quantum spin reversal by the sequential injection of spins in a spin quantum dot

Satoshi Kokado, Kazumasa Ueda, Kikuo Harigaya, Akimasa Sakuma

摘要:

本文从理论上研究了具有量子自旋的自旋量子点在连续注入自旋时局域量子自旋的反转。该系统由“电极/量子阱(QW)/点/QW/电极”结组成,其中左QW具有仅上自旋的传导电子的能级。我们考虑的情况下,上自旋电子顺序注入到点从左电极通过量子阱和交换相互作用的电子和本地化的自旋之间的行为。为了描述顺序注入的电子,我们提出了一个简单的方法的基础上近似解的含时薛$\ddot{\rm o}$丁格方程。利用这种方法,它表明,自旋反转发生时,右量子阱的能级的传导电子只有下自旋。特别地,导出了局域自旋反转时间的表达式,明确地给出了反转时间的上下限。这个表达式预计将是有用的局部自旋实现反转的最小弛豫时间的粗略估计。我们还得到了作为时间函数的局域自旋和电流的期望值的解析表达式。此外,我们发现,一个系统与非磁性的右量子阱表现出自旋反转或不反转取决于交换相互作用。

英文摘要:

This is a theoretical study of the reversal of a localized quantum spin induced by sequential injection of spins for a spin quantum dot that has a quantum spin. The system consists of ``electrode/quantum well(QW)/dot/QW/electrode" junctions, in which the left QW has an energy level of conduction electrons with only up-spin. We consider a situation in which up-spin electrons are sequentially injected from the left electrode into the dot through the QW and an exchange interaction acts between the electrons and the localized spin. To describe the sequentially injected electrons, we propose a simple method based on approximate solutions from the time-dependent Schr$\ddot{\rm o}$dinger equation. Using this method, it is shown that the spin reversal occurs when the right QW has energy levels of conduction electrons with only down-spin. In particular, the expression of the reversal time of a localized spin is derived and the upper and lower limits of the time are clearly expressed. This expression is expected to be useful for a rough estimation of the minimum relaxation time of the localized spin to achieve the reversal. We also obtain analytic expressions for the expectation value of the localized spin and the electrical current as a function of time. In addition, we found that a system with the non-magnetic right QW exhibits spin reversal or non-reversal depending on the exchange interaction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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