2021年12月10日
Peculiarity of Symmetric Ring Systems with Double Y-Junctions and the magnetic effects
Journal of Physics A: Mathematical and Theoretical
- ,
- ,
- 巻
- 55
- 号
- 3
- 開始ページ
- 035302
- 終了ページ
- 035302
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1088/1751-8121/ac41e8
- 出版者・発行元
- IOP Publishing
<title>Abstract</title>
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.
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.
- リンク情報
- ID情報
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- DOI : 10.1088/1751-8121/ac41e8
- ISSN : 1751-8113
- eISSN : 1751-8121
- arXiv ID : arXiv:2011.11937