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TT: Fachverband Tiefe Temperaturen

TT 14: Spin Transport and Orbitronics, Spin-Hall Effects I (joint session MA/TT)

TT 14.10: Talk

Tuesday, March 18, 2025, 12:00–12:15, H18

Orbital Hall effect accompanying quantum Hall effect — •Börge Göbel and Ingrid Mertig — Institut für Physik, Martin-Luther-Universität Halle-Wittenberg

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of e²/h. Here we show that the quantum Hall effect is accompanied by an orbital Hall effect [1]. Our quantum mechanical calculations fit well the semiclassical interpretation in terms of “skipping orbits”. The chiral edge states of a quantum Hall system are orbital polarized akin to an orbital version of the quantum anomalous Hall effect in magnetic systems. The orbital Hall resistivity scales quadratically with the magnetic field making it the dominant effect at high fields.

The discussion can be generalized to systems with effective magnetic fields: The topological Hall effect caused by the emergent field of topological spin textures, such as magnetic skyrmions, is accompanied by an orbital Hall effect, as well [2].

[1] B. Göbel, I. Mertig, Phys. Rev. Lett. 133, 146301 (2024)

[2] B. Göbel, L. Schimpf, I. Mertig, arXiv pre-print: 2410.00820

Keywords: Orbitronics; Orbital Hall effect; Quantum Hall effect; Hall effect; Skyrmions