Topologically induced vortex magnetance of a quantum device

TL;DR

This paper introduces the concept of magnetance, a measure of vortex-induced magnetic moments in mesoscopic quantum devices, highlighting how device geometry influences electron transport via vortices.

Contribution

It proposes the magnetance as a new way to quantify vortex-induced magnetic effects in quantum devices, linking geometry and vortex orientation.

Findings

Magnetance correlates with vortex orientation and device geometry.

Single vortices dominate the magnetic response in certain configurations.

Potential for experimental detection of vortex-induced magnetic effects.

Abstract

We consider resonant vortices around nodal points of the wavefunction in electron transport through a mesoscopic device. With a suitable choice of the device geometry, the dominating role is played by single vortices of a preferred orientation. To characterize strength of the resulting magnetic moment we have introduced a magnetance, the quantity defined in analogy with the device conductance. Its basic properties and possible experimental detection are discussed.