Higher-order topological phase: generalizations of the Aharonov-Bohm and Josephson effects

Tangled Magnetic Fields in Astro- and Plasma Physics; Quantised Flux in Tightly Knotted and Linked Systems

Buniy, Roman V.^1 ; Kephart, Thomas W.^2

Chapman University, Schmid College of Science, Orange

CA

92866, United States^1

Department of Physics and Astronomy, Vanderbilt University, Nashville

TN

37235, United States^2

关键词: Aharonov-bohm effects;    Gaussians;    Higher-order;    Interference angle;    Interference phase;    Josephson effect;    Magnetic flux tube;    Topological phase;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/544/1/012016/pdf
DOI  :  10.1088/1742-6596/544/1/012016

来源: IOP

【 摘 要 】

In the magnetic Aharonov-Bohm effect a semiclassical path of a charged particle is gaussian linked with a magnetic flux tube and one observes an interference phase angle proportional to the magnitude of the enclosed flux. We first generalize to the case of knotted paths. Then we argue that quantum mechanical wave functions with semiclassical paths that have higher order linking to multiple magnetic flux tubes have interference angle proportional to the product of the fluxes. Similar results hold for generalizing the Josephson effect.