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

Khee Kyun Voo*, Shu Chuan Chen, Chi Shung Tang, Chon-Saar Chu

*Corresponding author for this work

Research output: Contribution to journalArticle

22 Scopus citations


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 models out of (multiply connected) quasi-one-dimensional systems.

Original languageEnglish
Article number035307
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number3
StatePublished - 27 Feb 2006

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