Could dissipationless current be observed at non-zero resistance?

TL;DR

This paper explores whether dissipationless persistent currents can exist in rings with non-zero resistance, examining their potential to produce observable voltage differences and challenging traditional views on quantum current decay.

Contribution

It investigates the paradoxical nature of persistent currents in resistive rings and the possibility of observing dissipationless behavior at non-zero resistance.

Findings

Persistent currents may produce measurable potential differences.

The nature of quantum persistent currents in resistive rings is complex.

Potential for new insights into quantum phenomena in nanostructures.

Abstract

The persistent current, i.e. the equilibrium direct electric current circulating in realistic rings, some authors interpreted as dissipationless in spite of non-zero resistance of the rings, whereas the other one suppose that this current can not decay at dissipation. The observation of potential difference connected with the persistent current may give new important information about paradoxical nature of this quantum phenomena observed in nanostructures.