Quantum correction to the orbital Hall effect
Mesoscale and Nanoscale Physics
2025-01-31 v2 Materials Science
Abstract
Evaluations of the orbital Hall effect (OHE) have only retained inter-band matrix elements of the position operator. Here we evaluate the OHE including all matrix elements of the position operator, including the technically challenging intra-band elements. We recover previous results and find quantum corrections due to the non-commutativity of the position and velocity operators and inter-band matrix elements of the orbital angular momentum. The quantum corrections dominate the OHE responses of the topological antiferromagnet CuMnAs and of massive Dirac fermions.
Cite
@article{arxiv.2408.05294,
title = {Quantum correction to the orbital Hall effect},
author = {Hong Liu and James H. Cullen and Daniel P. Arovas and Dimitrie Culcer},
journal= {arXiv preprint arXiv:2408.05294},
year = {2025}
}