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Connecting wave functions at a three-leg junction of one-dimensional channels

Khee-Kyun Voo·Shu-Chuan Chen·Chi-Shung Tang·Chon-Saar Chu
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Abstract

We propose a scheme to connect the wave functions on different one-dimensional branches of a three-leg junction (Y-junction). Our scheme differs from that due to Griffith [Trans. Faraday Soc. 49, 345 (1953)] in the respect that ours can model the difference in the widths of the quasi-one-dimensional channels in different systems. We test our scheme by comparing results from a doubly-connected one-dimensional system and a related quasi-one-dimensional system, and we find a good agreement. Therefore our scheme may be useful in the construction of one-dimensional effective theories out of (multiply-connected) quasi-one-dimensional systems.

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Khee-Kyun Voo, Shu-Chuan Chen, Chi-Shung Tang, Chon-Saar Chu. 2006-02-24. Connecting wave functions at a three-leg junction of one-dimensional channels. https://doi.org/10.1103/physrevb.73.035307

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