Nonlinear Tellegen limit
Abstract
The Tellegen limit is the fundamental electromagnetic stability bound on magnetoelectric media. We show that nonlinear magnetoelectric coupling gives rise to a new Tellegen limit, which we term the \textit{nonlinear Tellegen limit}. Unlike the linear Tellegen limit, which is fixed by material parameters, the nonlinear Tellegen limit is field-tunable -- a static electric or magnetic field drives the system toward electromagnetic instability at a material-specific critical field determined by the symmetry-allowed nonlinear magnetoelectric couplings and electromagnetic response. The approach to this limit is accompanied by a field-tunable linear birefringence, whose maximum is bounded by the nonlinear Tellegen limit -- beyond which the medium becomes electromagnetically unstable. We demonstrate the nonlinear Tellegen limit and the field-space stability phase diagram in two magnetically ordered material systems -- a d-wave altermagnet and an M-type hexagonal ferrite -- showing that the symmetry of the magnetic point group governs both the structure of the nonlinear magnetoelectric tensor and the resulting electromagnetic instability.
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BibTeX
@misc{chatterjee2026nonlinear,
title = {{Nonlinear Tellegen limit}},
author = {Abhinava Chatterjee and Nikhil Kalyanapuram},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.10584},
eprint = {2607.10584},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.10584},
}
RIS
TY - UNPB
TI - Nonlinear Tellegen limit
AU - Abhinava Chatterjee
AU - Nikhil Kalyanapuram
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2607.10584
UR - https://arxiv.org/abs/2607.10584
AB - The Tellegen limit is the fundamental electromagnetic stability bound on magnetoelectric media. We show that nonlinear magnetoelectric coupling gives rise to a new Tellegen limit, which we term the \textit{nonlinear Tellegen limit}. Unlike the linear Tellegen limit, which is fixed by material parameters, the nonlinear Tellegen limit is field-tunable -- a static electric or magnetic field drives the system toward electromagnetic instability at a material-specific critical field determined by the symmetry-allowed nonlinear magnetoelectric couplings and electromagnetic response. The approach to this limit is accompanied by a field-tunable linear birefringence, whose maximum is bounded by the nonlinear Tellegen limit -- beyond which the medium becomes electromagnetically unstable. We demonstrate the nonlinear Tellegen limit and the field-space stability phase diagram in two magnetically ordered material systems -- a d-wave altermagnet and an M-type hexagonal ferrite -- showing that the symmetry of the magnetic point group governs both the structure of the nonlinear magnetoelectric tensor and the resulting electromagnetic instability.
ER -