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Orbital-geometric spin response: inter-band coherence versus orbital-to-spin conversion
Abstract
Orbitronics seeks to convert orbital angular momentum (OAM) into spin, but its microscopic dynamics is not understood. Here I show that, at moderate spin-orbit coupling, an electrically induced spin density contains a direct term and an \textit{orbital-geometric spin response} (OGSR) due to inter-band coherence of the spinless parent Hamiltonian---related to OAM but not descended from it. In massive Dirac fermions the OGSR survives as the net OAM vanishes, and generates \textit{counterflow}, opposing the direct response. These results provide guidelines for optimising orbitronic systems.
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BibTeX
@misc{culcer2026orbitalgeometric,
title = {{Orbital-geometric spin response: inter-band coherence versus orbital-to-spin conversion}},
author = {Dimitrie Culcer},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12093},
eprint = {2609.12093},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12093},
}
RIS
TY - UNPB
TI - Orbital-geometric spin response: inter-band coherence versus orbital-to-spin conversion
AU - Dimitrie Culcer
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.12093
UR - https://arxiv.org/abs/2609.12093
AB - Orbitronics seeks to convert orbital angular momentum (OAM) into spin, but its microscopic dynamics is not understood. Here I show that, at moderate spin-orbit coupling, an electrically induced spin density contains a direct term and an \textit{orbital-geometric spin response} (OGSR) due to inter-band coherence of the spinless parent Hamiltonian---related to OAM but not descended from it. In massive Dirac fermions the OGSR survives as the net OAM vanishes, and generates \textit{counterflow}, opposing the direct response. These results provide guidelines for optimising orbitronic systems.
ER -