Hysteretic method for measuring the flux trapped within the core of a superconducting lead-coated ferromagnetic torus by a linked superconducting tin ring, in a novel Aharonov-Bohm-like effect based on the Feynman path-integral principle

TL;DR

This paper proposes a novel macroscopic Aharonov-Bohm effect involving linked superconducting rings of lead and tin, predicting asymmetric hysteresis loops due to flux trapping in a ferromagnetic core, based on Feynman's path-integral principle.

Contribution

It introduces a new experimental setup for observing a nonlocal quantum effect using topologically linked superconducting rings with a theoretical prediction of asymmetric hysteresis behavior.

Findings

Predicted asymmetric hysteresis loops due to flux trapping.

Proposed experimental observation of a new Aharonov-Bohm-like effect.

Theoretical basis using Feynman's path-integral principle.

Abstract

A novel kind of nonlocal, macroscopic Aharonov-Bohm effect involving two topologically linked superconducting rings made out of two different materials, namely, lead and tin, is suggested for experimental observation, in which the lead ring is a torus containing a core composed of permanently magnetized ferromagnetic material. It is predicted that the remnant fields in a hysteresis loop induced by the application of a magnetic field imposed by a large external pair of Helmholtz coils upon the tin ring, will be asymmetric with respect to the origin of the loop. An appendix based on Feynman's path-integral principle is the basis for these predictions.