Quantum Reflection and Transmission in Ring Systems with Double Y-Junctions: Occurrence of Perfect Reflection

Abstract

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.

9 pages, 3 figures

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• Switching the sign of Josephson current through Aharonov-Bohm interferometry
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Cited by in corpus (4)

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• Scattering entropies of quantum graphs with several channels
• Correspondence of topological classification between quantum graph extra dimension and topological matter
• Peculiarity of Symmetric Ring Systems with Double Y-Junctions and the magnetic effects