Direction-dependent linear response for gapped nodal-line semimetals in planar-Hall configurations

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Hauptverfasser: Rather, Fasil Hussain, Haidar, Firdous, A., Muhammed Jaffar, Mandal, Ipsita
Format: Preprint
Veröffentlicht: 2025
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author Rather, Fasil Hussain
Haidar, Firdous
A., Muhammed Jaffar
Mandal, Ipsita
author_facet Rather, Fasil Hussain
Haidar, Firdous
A., Muhammed Jaffar
Mandal, Ipsita
contents 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 ($\mathbf E $) and magnetic ($\mathbf B$) fields. The net conductivity tensor has components comprising the Drude, anomalous-Hall, in-plane (with $\mathbf E$ and $\mathbf B$) 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_10712
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Direction-dependent linear response for gapped nodal-line semimetals in planar-Hall configurations
Rather, Fasil Hussain
Haidar, Firdous
A., Muhammed Jaffar
Mandal, Ipsita
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
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 ($\mathbf E $) and magnetic ($\mathbf B$) fields. The net conductivity tensor has components comprising the Drude, anomalous-Hall, in-plane (with $\mathbf E$ and $\mathbf B$) 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.
title Direction-dependent linear response for gapped nodal-line semimetals in planar-Hall configurations
topic Mesoscale and Nanoscale Physics
High Energy Physics - Theory
url https://arxiv.org/abs/2503.10712