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Current Partition at Topological Channel Intersections

2013/02/26 by Zhenhua Qiao, Jeil Jung, Chungwei Lin +4 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Astronomical interferometer #Beam splitter #Combinatorics #Counterintuitive #Current (fluid) #Geometry #Graphene research and applications #Interferometry #Intersection (aeronautics) #Line (geometry) #Mathematics #Optics #Partition (number theory) #Physics #Quantum and electron transport phenomena #Quantum mechanics #Splitter #Statistical physics #Topological Materials and Phenomena #Topology (electrical circuits) #Zero (linguistics) #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.112.206601

published as PRL 112, 206601 (2014)

arxiv created 2013/02/26 · openalex publication_date 2014/05/20 · arxiv updated 2015/01/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

An intersection between one-dimensional chiral channels functions as a topological current splitter. We find that the splitting of a chiral zero-line mode obeys very simple yet highly counterintuitive partition laws that relate current paths to the geometry of the intersection. Our results have far reaching implications for electron beam splitter and interferometer device proposals based on chiral transport, and for understanding transport in systems in which multiple topological domains lead to a statistical network of chiral channels.

Citations

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