Structured-Light Control of Goniopolar Thermoelectricity in NaSn\texorpdfstring{2}{2}As\texorpdfstring{2}{2}
Abstract
Goniopolar metals exhibit opposite thermoelectric polarities along different crystallographic directions, enabling zero-field transverse thermoelectricity but offering few means for external control. Here we show that a spatially structured Laguerre--Gaussian vector potential can programmably reconstruct the goniopolar phase space of NaSn2As2. First-principles-derived Wannier transport with bond-dependent Peierls coupling reveals two OAM-dependent spatial scaling laws: the radial response follows the Laguerre--Gaussian radius rmax∝√(|ℓ|), while calculations for |ℓ|=2--5 yield a dominant angular harmonic mdom=2|ℓ|, encoding the optical winding in a frequency-doubled thermoelectric response. Increasing |ℓ| simultaneously reconstructs pre-existing goniopolar windows, enhancing a representative window by approximately 17\% at |ℓ|=5. By contrast, reversing ℓ at fixed polarization produces only a small correction that approximately interchanges upon polarization reversal. Energy-resolved transport reveals that the structured field redistributes in-plane and cross-plane electronic velocities, shifting the directional Seebeck-zero boundaries that define the goniopolar state. These results establish vortex position and OAM magnitude as programmable control coordinates for goniopolar thermoelectricity.
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BibTeX
@misc{ndiaye2026structuredlight,
title = {{Structured-Light Control of Goniopolar Thermoelectricity in NaSn\texorpdfstring$_2$2As\texorpdfstring$_2$2}},
author = {Atoumane Ndiaye and Edwin Fohtung},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.01755},
eprint = {2610.01755},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.01755},
}
RIS
TY - UNPB
TI - Structured-Light Control of Goniopolar Thermoelectricity in NaSn\texorpdfstring{_2}{2}As\texorpdfstring{_2}{2}
AU - Atoumane Ndiaye
AU - Edwin Fohtung
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.01755
UR - https://arxiv.org/abs/2610.01755
AB - Goniopolar metals exhibit opposite thermoelectric polarities along different crystallographic directions, enabling zero-field transverse thermoelectricity but offering few means for external control. Here we show that a spatially structured Laguerre--Gaussian vector potential can programmably reconstruct the goniopolar phase space of NaSn_2As_2. First-principles-derived Wannier transport with bond-dependent Peierls coupling reveals two OAM-dependent spatial scaling laws: the radial response follows the Laguerre--Gaussian radius r_max∝√(|ℓ|), while calculations for |ℓ|=2--5 yield a dominant angular harmonic m_dom=2|ℓ|, encoding the optical winding in a frequency-doubled thermoelectric response. Increasing |ℓ| simultaneously reconstructs pre-existing goniopolar windows, enhancing a representative window by approximately 17\% at |ℓ|=5. By contrast, reversing ℓ at fixed polarization produces only a small correction that approximately interchanges upon polarization reversal. Energy-resolved transport reveals that the structured field redistributes in-plane and cross-plane electronic velocities, shifting the directional Seebeck-zero boundaries that define the goniopolar state. These results establish vortex position and OAM magnitude as programmable control coordinates for goniopolar thermoelectricity.
ER -