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arXiv 2011.11937quant-phcond-mat.mes-hallhep-th
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双Y结对称环系统的特殊性及磁效应

Peculiarity of Symmetric Ring Systems with Double Y-Junctions and the magnetic effects

Yukihiro Fujimoto, Kohkichi Konno, Tomoaki Nagasawa

摘要:

本文讨论了双臂等长的双Y结环系统的量子动力学。Y形结的节点可以用U(3)参数化。考虑到数学上允许的结条件,我们用散射矩阵来表示这类系统。我们证明了在反射对称性下由两个相同参数的节点组成的对称环系统的显著特点是不可避免地存在局域态,当入射波的波数与局域态的波数重合时,系统发生共振完全透射,除了散射矩阵各分量的绝对值取$1$的极端情况外,对于节点的任何参数,我们还研究了对称环系统的磁扰动。

英文摘要:

We discuss quantum dynamics in the ring systems with double Y-junctions in which two arms have same length. The node of a Y-junction can be parametrized by U(3). Considering mathematically permitted junction conditions seriously, we formulate such systems by scattering matrices. We show that the symmetric ring systems, which consist of two nodes with the same parameters under the reflection symmetry, have remarkable aspects that there exist localized states inevitably, and resonant perfect transmission occurs when the wavenumber of an incoming wave coincides with that of the localized states, for any parameters of the nodes except for the extremal cases in which the absolute values of components of scattering matrices take $1$. We also investigate the magnetic disturbance to the symmetric ring systems.

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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