Sector-Resolved Winding Selection Rules for Structured-Light-Driven dc Currents
Abstract
Structured light can generate electronic dc currents with azimuthal winding, yet the rules governing their winding order m remain unclear. Here we identify sector-resolved winding selection rules using graphene as a clean two-dimensional platform. By decomposing the current response into local and gradient sectors at the current-operator level, we show that the winding order is determined not by the optical orbital angular momentum ℓ alone, but by the angular structure of the corresponding current operators together with projection onto the azimuthal direction. For scalar Laguerre-Gaussian beams, linear polarization yields m=|ℓ±1| in the local sector and m=|ℓ|,|ℓ±2| in the gradient sector, whereas circular polarization with helicity σ=±1 selects m=|ℓ−σ| in the local sector and m=|ℓ+2σ| in the gradient sector. Numerical time-evolution calculations verify these rules and further show that helicity can select an m=0 branch, producing an azimuthally uniform circulating current whose radial profile determines the axial magnetic field Bz(z). Our results provide a sector-resolved organizing principle for classifying and controlling structured-light-driven dc currents with tailored winding structures.
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BibTeX
@misc{tamaya2026sectorresolved,
title = {{Sector-Resolved Winding Selection Rules for Structured-Light-Driven dc Currents}},
author = {Tomohiro Tamaya and Kenichi L. Ishikawa},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.01423},
eprint = {2610.01423},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.01423},
}
RIS
TY - UNPB
TI - Sector-Resolved Winding Selection Rules for Structured-Light-Driven dc Currents
AU - Tomohiro Tamaya
AU - Kenichi L. Ishikawa
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.01423
UR - https://arxiv.org/abs/2610.01423
AB - Structured light can generate electronic dc currents with azimuthal winding, yet the rules governing their winding order m remain unclear. Here we identify sector-resolved winding selection rules using graphene as a clean two-dimensional platform. By decomposing the current response into local and gradient sectors at the current-operator level, we show that the winding order is determined not by the optical orbital angular momentum ℓ alone, but by the angular structure of the corresponding current operators together with projection onto the azimuthal direction. For scalar Laguerre-Gaussian beams, linear polarization yields m=|ℓ±1| in the local sector and m=|ℓ|,|ℓ±2| in the gradient sector, whereas circular polarization with helicity σ=±1 selects m=|ℓ−σ| in the local sector and m=|ℓ+2σ| in the gradient sector. Numerical time-evolution calculations verify these rules and further show that helicity can select an m=0 branch, producing an azimuthally uniform circulating current whose radial profile determines the axial magnetic field B_z(z). Our results provide a sector-resolved organizing principle for classifying and controlling structured-light-driven dc currents with tailored winding structures.
ER -