Abstract
We discuss how, in appropriately designed configurations, solenoids carrying a semifluxon can be used as topological energy barriers for charged quantum systems. We interpret this phenomenon as a consequence of the fact that such solenoids induce nodal lines in the wave function describing the charge, which on itself is a consequence of the Aharonov-Bohm effect. Moreover, we present a thought experiment with a cavity where two solenoids are sufficient to create bound states.
| Original language | English |
|---|---|
| Article number | 040101 |
| Journal | Physical Review A |
| Volume | 100 |
| Issue number | 4 |
| DOIs | |
| State | Published - 23 Oct 2019 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019 American Physical Society.
Funding
We thank the referees for their careful reading of our manuscript and for their constructive comments, in particular, for the suggestion of Ref. , which made us aware of works on transmission zeros in channels with AB rings. This research was partially supported by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust. I.L.P. acknowledges financial support from the Science without Borders Program (CNPq, Brazil, Grant No. 234347/2014-7). Y.A. acknowledges support from the Israel Science Foundation (Grant No. 1311/14), Israeli Centers of Research Excellence (ICORE) Center “Circle of Light,” and the German-Israeli Project Cooperation (Deutsch-Israelische Projektkooperation, DIP).
| Funders | Funder number |
|---|---|
| Deutsch-Israelische Projektkooperation | |
| German-Israeli Project Cooperation | |
| John E. Fetzer Memorial Trust | |
| Conselho Nacional de Desenvolvimento Científico e Tecnológico | 234347/2014-7 |
| Israel Science Foundation | 1311/14 |
| Israeli Centers for Research Excellence |