Complete Magnetic Hierarchy in Bichromatically Driven Unconventional Magnets
Abstract
We establish a general framework for engineering unconventional magnetism using bichromatic driving. We identify a sharp hierarchy: for a bichromatic drive with a generic even commensurate frequency ratio, the leading continuum q-wave magnet generates components only up to order q−2, whereas lattice higher-gradient terms supply the missing q−1 and q parities and complete the hierarchy through order q. We explicitly illustrate this new revised hierarchy on a d-wave altermagnet irradiated by a circularly-linearly polarized light, and show that the asymmetry of the driving field is transferred to the light-dressed electronic structure, producing momentum-asymmetric dispersions beyond the static and single-frequency limits. We further show that this band asymmetry is absent in the leading continuum expansion and originates from higher-gradient lattice terms that are converted by the bichromatic drive into odd-in-momentum contributions. Extending the analysis to higher-order unconventional magnets, we further obtain complete magnetic hierarchies for all q-parity unconventional magnets. Our results establish bichromatic Floquet driving as a general route for generating mixed-parity magnetic hierarchies and dynamically engineering unconventional magnetism.
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BibTeX
@misc{fu2026complete,
title = {{Complete Magnetic Hierarchy in Bichromatically Driven Unconventional Magnets}},
author = {Pei-Hao Fu and Sayed Ali Akbar Ghorashi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03461},
eprint = {2610.03461},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03461},
}
RIS
TY - UNPB
TI - Complete Magnetic Hierarchy in Bichromatically Driven Unconventional Magnets
AU - Pei-Hao Fu
AU - Sayed Ali Akbar Ghorashi
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.03461
UR - https://arxiv.org/abs/2610.03461
AB - We establish a general framework for engineering unconventional magnetism using bichromatic driving. We identify a sharp hierarchy: for a bichromatic drive with a generic even commensurate frequency ratio, the leading continuum q-wave magnet generates components only up to order q−2, whereas lattice higher-gradient terms supply the missing q−1 and q parities and complete the hierarchy through order q. We explicitly illustrate this new revised hierarchy on a d-wave altermagnet irradiated by a circularly-linearly polarized light, and show that the asymmetry of the driving field is transferred to the light-dressed electronic structure, producing momentum-asymmetric dispersions beyond the static and single-frequency limits. We further show that this band asymmetry is absent in the leading continuum expansion and originates from higher-gradient lattice terms that are converted by the bichromatic drive into odd-in-momentum contributions. Extending the analysis to higher-order unconventional magnets, we further obtain complete magnetic hierarchies for all q-parity unconventional magnets. Our results establish bichromatic Floquet driving as a general route for generating mixed-parity magnetic hierarchies and dynamically engineering unconventional magnetism.
ER -