Frustrated Topological Orbital Magnetism
Abstract
By studying the interplay of geometric frustration with Aharonov-Bohm fluxes in three dimensions, we unveil a rich playground exhibiting topological semimetallic ground states with orbital magnetic dipole, quadrupole and ferrotoroidic orders, akin to spin patterns in classical spin ices - a class of phenomena which we dub frustrated topological orbital magnetism. We demonstrate that the ground-state toroidizations underpinned by non-Abelian topological nodal lines induce measurable current-induced Hall phenomena. We further find that distinct 2-in-2-out and 3-in-1-out frustrated orbital current patterns can be associated with topological Weyl node charges, and corresponding anisotropic linear and nonlinear Hall effects. We propose signatures for experimental validation of distinct frustrated topological orbital magnetic orders in candidate materials.
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BibTeX
@misc{bourkhaeva2026frustrated,
title = {{Frustrated Topological Orbital Magnetism}},
author = {Sergio Garrido Bourkhaeva and Claudio Castelnovo and Wojciech J. Jankowski},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.12557},
eprint = {2610.12557},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.12557},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Frustrated Topological Orbital Magnetism
AU - Sergio Garrido Bourkhaeva
AU - Claudio Castelnovo
AU - Wojciech J. Jankowski
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.12557
UR - https://arxiv.org/abs/2610.12557
AB - By studying the interplay of geometric frustration with Aharonov-Bohm fluxes in three dimensions, we unveil a rich playground exhibiting topological semimetallic ground states with orbital magnetic dipole, quadrupole and ferrotoroidic orders, akin to spin patterns in classical spin ices - a class of phenomena which we dub frustrated topological orbital magnetism. We demonstrate that the ground-state toroidizations underpinned by non-Abelian topological nodal lines induce measurable current-induced Hall phenomena. We further find that distinct 2-in-2-out and 3-in-1-out frustrated orbital current patterns can be associated with topological Weyl node charges, and corresponding anisotropic linear and nonlinear Hall effects. We propose signatures for experimental validation of distinct frustrated topological orbital magnetic orders in candidate materials.
ER -