Quantum reflection and transmission in ring systems with double Y-junctions: occurrence of perfect reflection

We consider the scattering problems of a quantum particle in a system with a single Y-junction and in ring systems with double Y-junctions. We provide new formalism for such quantum mechanical problems. Based on a path integral approach, we find compact formulas for probability amplitudes in the rin...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2020-04, Vol.53 (15), p.155302
Main Authors: Fujimoto, Yukihiro, Konno, Kohkichi, Nagasawa, Tomoaki, Takahashi, Rohta
Format: Article
Language:English
Subjects:
one-dimensional quantum wires
quantum reflection
quantum transmission
Y-junctions
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Summary:We consider the scattering problems of a quantum particle in a system with a single Y-junction and in ring systems with double Y-junctions. We provide new formalism for such quantum mechanical problems. Based on a path integral approach, we find compact formulas for probability amplitudes in the ring systems. We also discuss quantum reflection and transmission in the ring systems under scale-invariant junction conditions. It is remarkable that perfect reflection can occur in an anti-symmetric ring system, in contrast with the one-dimensional quantum systems having singular nodes of degree 2.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ab7601