Quantum correction to the orbital Hall effect

Dimi Culcer; Hong Liu; Rhonald Burgos Atencia

doi:10.1117/12.3029051

4 October 2024 Quantum correction to the orbital Hall effect

Dimi Culcer, Hong Liu, Rhonald Burgos Atencia

Author Affiliations +

Proceedings Volume PC13119, Spintronics XVII; PC131191O (2024) https://doi.org/10.1117/12.3029051
Event: Nanoscience + Engineering, 2024, San Diego, California, United States

Abstract

The Orbital Magnetic Moment (OMM) of Bloch electrons has come under renewed scrutiny recently as part of a general effort to understand angular momentum dynamics in systems in which spin-orbit interactions are absent or negligible. I will present two recent results from our group. The first is related to the orbital Hall effect. We have determined the full OHE in the presence of short-range disorder using 2D massive Dirac fermions as a prototype. We find that, in doped systems, extrinsic effects (skew scattering and side jump) provide ≈95% of the OHE. This suggests that, at experimentally relevant transport densities, the OHE is primarily extrinsic. In the second part I will show that the OMM is in general not conserved in an electric field. The force moment produces a torque on the OMM, which is determined by the quantum geometric tensor and the group velocities of Bloch bands. The torque vanishes in two-band systems with particle-hole symmetry but is nonzero otherwise. For tilted massive Dirac fermions the torque is determined by the magnitude and direction of the tilt.

Conference Presentation

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Dimi Culcer, Hong Liu, and Rhonald Burgos Atencia "Quantum correction to the orbital Hall effect", Proc. SPIE PC13119, Spintronics XVII, PC131191O (4 October 2024); https://doi.org/10.1117/12.3029051

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