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arXiv 0812.2347cond-mat.mes-hallcond-mat.stat-mech
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两个耦合环的磁化

Magnetization of two coupled rings

Y. Avishai, J. M. Luck

摘要:

研究了由两个干净的金属环组成的介观系统在磁场中的持续电流和磁化强度。许多新的功能,相对于单环几何强调,包括明确的依赖波函数的Aharonov-Bohm通量,复杂的模式的两倍和三倍的简并,长度和通量的可伸缩性的关键作用,并在相称的环长度的情况下,发生闲置的水平,不携带任何电流。自旋-轨道相互作用,由穿过环的带电导线的电场引起,产生了一种特殊的阿哈罗诺夫-卡希尔效应,与单个环不同,自旋不守恒。值得注意的是,这只能在两个环中的Aharonov-Bohm通量既不是通量量子的整数倍也不是半整数倍时才能实现。

英文摘要:

We investigate the persistent currents and magnetization of a mesoscopic system consisting of two clean metallic rings sharing a single contact point in a magnetic field. Many novel features with respect to the single-ring geometry are underlined, including the explicit dependence of wavefunctions on the Aharonov-Bohm fluxes, the complex pattern of twofold and threefold degeneracies, the key role of length and flux commensurability, and in the case of commensurate ring lengths the occurrence of idle levels which do not carry any current. Spin-orbit interactions, induced by the electric fields of charged wires threading the rings, give rise to a peculiar version of the Aharonov-Casher effect where, unlike for a single ring, spin is not conserved. Remarkably enough, this can only be realized when the Aharonov-Bohm fluxes in both rings are neither integer nor half-integer multiples of the flux quantum.

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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