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

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dc.creatorVoo, Khee-Kyun
dc.creatorChen, Shu-Chuan
dc.creatorTang, Chi-Shung
dc.creatorChu, Chon-Saar
dc.date2006-02-24
dc.date.accessioned2026-07-07T07:01:56Z
dc.date.available2026-07-07T07:01:56Z
dc.descriptionWe 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.
dc.description6 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0602575
dc.identifierhttp://arxiv.org/abs/cond-mat/0602575
dc.identifierPhys. Rev. B 73, 035307 (2006)
dc.identifierdoi:10.1103/PhysRevB.73.035307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108432
dc.subjectMesoscale and Nanoscale Physics
dc.titleConnecting wave functions at a three-leg junction of one-dimensional channels
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