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Nonrelativistic anisotropic magnetoresistance with collinear and noncollinear magnetic order

P. Ritzinger, O. Sedláček, J. Železný*, and K. Výborný

  • *Contact author: zeleznyj@fzu.cz
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Phys. Rev. B 114, 204427 – Published 23 October, 2026

DOI: https://doi.org/10.1103/yrmp-j9h2

Abstract

Anisotropic magnetoresistance (AMR) arises from symmetry lowering of the conductivity tensor induced by magnetic order. In simple ferromagnets, AMR is a relativistic effect, relying on spin-orbit interaction (SOC). Here, we demonstrate that a comparable symmetry lowering can also occur in a nonrelativistic limit. Using tight-binding models, density functional theory calculations, and Boltzmann transport theory, we investigate systems with multiple magnetic sublattices, including both collinear and noncollinear antiferromagnets, as well as ferrimagnetic configurations. We show that AMR and related anisotropies can emerge purely from magnetic order, without the need for SOC, and may reach significant magnitudes. The findings are supported by case studies on toy-model lattices and real materials such as MnN and Mn3Sn and are further interpreted using a symmetry analysis based on Neumann's principle. Material candidates that exhibit nonrelativistic anisotropic magnetoresistance are identified by symmetry analysis applied to entries in the MAGNDATA database.

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Phys. Rev. B 114, 204427– Published 23 October, 2026
  • Received 8 September 2025
  • Revised 21 September 2026
  • Accepted 24 September 2026
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