Aharonov-Casher-induced electric quadrupole of charge-neutral particles
Abstract
For charged particles, their orbital angular momentum (OAM) in solid have a direct magnetic manifestation as an orbital magnetization. For charge-neutral particles, however, the physical manifestation of the OAM in solid remains unclear. Here, we show that a charge-neutral particle carrying a magnetic moment couples to electric-field gradient through the Aharonov-Casher (AC) effect, thereby exhibiting the electric quadrupole in crystalline solids. This AC-induced electric quadrupole (AC-EQ) contains the scalar, toroidal dipole, and reduced quadrupole components, which are conjugate to the divergence, circulation, and shear of the electric field, respectively. As representative examples, we calculate the AC-EQ of magnons in two magnetic systems. In ferromagnetic pyrochlore, Dzyaloshinskii-Moriya interaction (DMI) induces a sizable AC-EQ, whereas in helical Fe langasite the AC-EQ emerges from the helical spin configuration even in the absence of DMI.
Versions
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BibTeX
@misc{lee2026aharonovcasherinduced,
title = {{Aharonov-Casher-induced electric quadrupole of charge-neutral particles}},
author = {Hojun Lee and Youngjae Jeon and Suik Cheon and Hyun-Woo Lee},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.13745},
eprint = {2607.13745},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.13745},
}
RIS
TY - UNPB
TI - Aharonov-Casher-induced electric quadrupole of charge-neutral particles
AU - Hojun Lee
AU - Youngjae Jeon
AU - Suik Cheon
AU - Hyun-Woo Lee
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2607.13745
UR - https://arxiv.org/abs/2607.13745
AB - For charged particles, their orbital angular momentum (OAM) in solid have a direct magnetic manifestation as an orbital magnetization. For charge-neutral particles, however, the physical manifestation of the OAM in solid remains unclear. Here, we show that a charge-neutral particle carrying a magnetic moment couples to electric-field gradient through the Aharonov-Casher (AC) effect, thereby exhibiting the electric quadrupole in crystalline solids. This AC-induced electric quadrupole (AC-EQ) contains the scalar, toroidal dipole, and reduced quadrupole components, which are conjugate to the divergence, circulation, and shear of the electric field, respectively. As representative examples, we calculate the AC-EQ of magnons in two magnetic systems. In ferromagnetic pyrochlore, Dzyaloshinskii-Moriya interaction (DMI) induces a sizable AC-EQ, whereas in helical Fe langasite the AC-EQ emerges from the helical spin configuration even in the absence of DMI.
ER -