Dresden 2026 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 92: Transport – Poster

TT 92.10: Poster

Donnerstag, 12. März 2026, 18:00–20:00, P4

Vorticity as an Origin-Independent Measure of Electronic Circulation in Crystals — •Aristo Ardyaneira, Leonard Prokisch, Moritz Rübling, and Ferdinand Evers — Institute of Theoretical Physics, University of Regensburg, D-93053 Regensburg, Germany

Orbital angular momentum (OAM) plays a central role in the emerging field of orbitronics, but its definition in real space is problematic because it depends on the choice of origin. Common approaches - such as the atomic-centered approximation or unit-cell integration - either neglect interstitial contributions or are not uniquely defined. We propose vorticity as an alternative, origin-independent measure of the local electronic circulation. Although closely related to the experimentally accessible magnetic field, vorticity has received little attention in solid-state contexts. Using the Mandelung formulation of quantum mechanics, we derive an equation of motion for the electronic vorticity and demonstrate its direct connection to the magnetic field in a crystal. This framework provides a natural and physically transparent description of electronic spinning motion relevant for orbitronic phenomena.

Keywords: Orbitronics; Orbital angular momentum; Vorticity; Magnetic field