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Giant Rydberg Excitons Delineated as Relativistic Bound States
Abstract
We examined the energy-momentum relationship of the valence band of Cu2O, which has gained interest as an emerging solid host for giant Rydberg states. Our findings reveal a nonparabolic dispersion, described using the rest mass (0.570 times the free electron mass) and rescaled light speed (1.6× 105 m/s), which draws parallels with relativistic theory for high-energy particles. We propose a straightforward expression for the bound-state energies of Rydberg excitons with finite quantum defects, whose energy scheme deviates from the hydrogenic series. This formulation identifies relativistic kinematics as the physical origin of quantum defects, offering a streamlined basis for future studies on complex many-body correlations.
Related
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BibTeX
@misc{takahata2026giant,
title = {{Giant Rydberg Excitons Delineated as Relativistic Bound States}},
author = {Mitsuyoshi Takahata and Ikuko Akimoto and Nobuko Naka},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26435},
eprint = {2610.26435},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26435},
}
RIS
TY - UNPB
TI - Giant Rydberg Excitons Delineated as Relativistic Bound States
AU - Mitsuyoshi Takahata
AU - Ikuko Akimoto
AU - Nobuko Naka
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26435
UR - https://arxiv.org/abs/2610.26435
AB - We examined the energy-momentum relationship of the valence band of Cu_2O, which has gained interest as an emerging solid host for giant Rydberg states. Our findings reveal a nonparabolic dispersion, described using the rest mass (0.570 times the free electron mass) and rescaled light speed (1.6× 10^5 m/s), which draws parallels with relativistic theory for high-energy particles. We propose a straightforward expression for the bound-state energies of Rydberg excitons with finite quantum defects, whose energy scheme deviates from the hydrogenic series. This formulation identifies relativistic kinematics as the physical origin of quantum defects, offering a streamlined basis for future studies on complex many-body correlations.
ER -