Electron-hole duality and vortex rings in quantum dots

TL;DR

This paper explores how particle-hole duality in quantum dots reveals vortex formation as energy oscillations, which can be experimentally observed, providing new insights into vortex localization and quantum dot behavior.

Contribution

It introduces a duality-based approach to analyze vortex formation in quantum dots, linking vortex localization to observable energy oscillations.

Findings

Vortices in quantum dots cause measurable energy oscillations.

Vortices tend to localize in ring structures.

Energy spectrum oscillations can be detected via tunnelling spectroscopy.

Abstract

In a quantum-mechanical system, particle-hole duality implies that instead of studying particles, we can get equivalent information by studying the missing particles, the so-called holes. Using this duality picture for rotating fermion condensates the vortices appear as holes in the Fermi see. Here we predict that the formation of vortices in quantum dots at high magnetic fields causes oscillations in the energy spectrum which can be experimentally observed using accurate tunnelling spectroscopy. We use the duality picture to show that these oscillations are caused by the localisation of vortices in rings.