English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Using a model of idealized, crossed one-dimensional quantum wires weconstruct a novel model for a single electron on tunneling-coupled systems ofone-dimensional quantum rings. We explore and find that topology can affect theenergetics of the system, and can introduce frustration in the three ring case.We also study the special cases of an external magnetic field that controls thecomplex phase of the tunneling matrix element, and introduce the knot theoryconcept of "writhe" as a new topological quantity for distinguishing one holesystems. We find that writhe not only determines the energetic response of thesystem to magnetic field strength, but is also responsible for a singleparticle topological quantum phase transition involving the ground state wavefunction winding number.

Topological Effects in Tunneling-Coupled Systems of One-Dimensional Quantum Rings