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arXiv 0907.2458cond-mat.mes-hallcond-mat.mtrl-sci
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约束条件下的波函数-耦合环中的持续电流

The wave functions in the presence of constraints - Persistent Current in Coupled Rings

D. Schmeltzer

摘要:

我们提出了一种新的方法来计算存在约束条件下的波函数。作为一个显式的例子,我们计算的波函数的耦合金属环中的多电子问题中存在的外部磁通量。对于相等的通量和偶数个电子的约束,强制执行一个波函数与消失的总动量和一个大的持续电流和磁化相反的奇数个电子,在有限的温度下,电流被抑制。我们建议,奇偶属性可以通过测量的磁化强度作为一个不同的栅极电压耦合到环的函数进行验证。通过反转其中一个环中的磁通,两个环中的电流和磁化消失;这可以用作非局部控制装置。

英文摘要:

We present a new method for computing the wave function in the presence of constraints. As an explicit example we compute the wave function for the many electrons problem in coupled metallic rings in the presence of external magnetic fluxes. For equal fluxes and an even number of electrons the constraints enforce a wave function with a vanishing total momentum and a large persistent current and magnetization in contrast to the odd number of electrons where at finite temperatures the current is suppressed. We propose that the even-odd property can be verified by measuring the magnetization as a function of a varying gate voltage coupled to the rings. By reversing the flux in one of the ring the current and magnetization vanish in both rings; this can be used as a non-local control device.

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