https://doi.org/10.1140/epjb/s10051-026-01131-4
Research - Condensed Matter
Direction-dependent linear response for gapped nodal-line semimetals in planar-Hall configurations
Department of Physics, Shiv Nadar Institution of Eminence (SNIoE), 201314, Gautam Buddha Nagar, Uttar Pradesh, India
a
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Received:
22
October
2025
Accepted:
25
January
2026
Published online:
17
March
2026
Abstract
We compute the magnetoelectric conductivity for ideal nodal-line semimetals (NLSMs), with a finite but tiny mass-gap, in distinct planar-Hall set-ups. Each differing configuration results from the relative orientation of the nodal-ring’s plane with respect to the plane spanned by the electric (
) and magnetic (
) fields. The net conductivity tensor has components comprising the Drude, anomalous-Hall, in-plane (with 
and ) longitudinal and transverse, and Lorentz-force-operator-induced parts. Our results feature the signatures of the inherent topology of a gapped NLSM, revealed through nonzero values of the Berry curvature and the orbital magnetic moment. In particular, we show that both of these vector fields, arising in the momentum space, give rise to terms of comparable magnitudes in the resulting response. Our explicit theoretical expressions will help identify unique signatures of NLSMs in contemporary experiments.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
