Dresden 2026 – scientific programme

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MA: Fachverband Magnetismus

MA 29: Spin Transport and Orbitronics, Spin-Hall Effects I (joint session MA/TT)

MA 29.4: Talk

Wednesday, March 11, 2026, 10:30–10:45, POT/0112

Modern theory of the Orbital Hall effect from Wannier Representation — •Mirco Sastges^1,2, Insu Baek³, Hojun Lee³, Hyun-Woo Lee³, Yuriy Mokrousov^1,2, and Dongwook Go⁴ — ¹Peter Grüunberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, 52425 Jülich, Germany — ²Institute of Physics, Johannes Gutenberg University Mainz, 55099 Mainz, Germany — ³Department of Physics, Pohang University of Science and Technology, Pohang, Kyungbuk 37673, South Korea — ⁴Department of Physics, Korea University, Seoul 02841, South Korea

In the field of orbital dynamics and orbital transport a particularly important quantity is the so-called orbital Hall conductivity (OHC), which is expressed in terms of operators of velocity and orbital angular momentum (OAM). To overcome the difficulties in treating the unbounded position operator, very often the so-called atom-centered approximation (ACA) is used. However, while being very practical, this approach captures only some local contributions to the OAM operator. Here, we will report on developing a new approach to quantify the OAM operator in the basis of Wannier functions, which is based on the modern theory of orbital magnetization. This method allows us to capture both local and itinerant contributions to the OHC. By performing first principles calculations for selected transition metals we show that a significant correction to the OHC due to non-local contributions arises, while the local effects are captured in accordance to the ACA. Our approach is very promising since it improves our understanding of OAM and allows for a precise estimation of the OHC.

Keywords: Orbital hall effect; Perturbation theory; Wannier representation; Berry-phase theory; First principles calculation