PreprintCC BY 4.0arXiv
Raman Circular Dichroism Reveals Higher-Order Quantum Geometry of Magnons
Abstract
We develop a gauge-invariant framework that relates two-magnon Raman circular dichroism (RCD) to higher-order magnon quantum geometry. In the magnon band basis, the Raman operator decomposes into interband Berry connections, their covariant derivatives, and products of successive connections, generating higher-order, multi-state geometric tensors beyond the conventional single-band quantum metric and Berry curvature. Applying this framework to a field-polarized Kitaev magnet, we show that higher-order geometric tensors govern the dichroic response. Our results establish RCD as a spectroscopic probe of generalized magnon quantum geometry.
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BibTeX
@misc{kim2026raman,
title = {{Raman Circular Dichroism Reveals Higher-Order Quantum Geometry of Magnons}},
author = {Yong Chan Kim and Youngsu Choi and Kwang-Yong Choi and Kyusung Hwang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.23683},
eprint = {2608.23683},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.23683},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Raman Circular Dichroism Reveals Higher-Order Quantum Geometry of Magnons
AU - Yong Chan Kim
AU - Youngsu Choi
AU - Kwang-Yong Choi
AU - Kyusung Hwang
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2608.23683
UR - https://arxiv.org/abs/2608.23683
AB - We develop a gauge-invariant framework that relates two-magnon Raman circular dichroism (RCD) to higher-order magnon quantum geometry. In the magnon band basis, the Raman operator decomposes into interband Berry connections, their covariant derivatives, and products of successive connections, generating higher-order, multi-state geometric tensors beyond the conventional single-band quantum metric and Berry curvature. Applying this framework to a field-polarized Kitaev magnet, we show that higher-order geometric tensors govern the dichroic response. Our results establish RCD as a spectroscopic probe of generalized magnon quantum geometry.
ER -