Current partition at topological zero-line intersections

TL;DR

This paper investigates how chiral zero-line modes split at topological intersections, revealing simple yet counterintuitive partition laws that influence device design and understanding of topological transport networks.

Contribution

It uncovers fundamental partition laws governing chiral zero-line mode splitting at intersections, with implications for topological device engineering and transport network analysis.

Findings

Partition laws relate current paths to intersection geometry

Results inform design of electron beam splitters and interferometers

Implications for transport in topological domain networks

Abstract

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