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Purely electrical detection of the spin-splitting vector in p-wave magnets based on linear and nonlinear conductivities

Motohiko Ezawa

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Phys. Rev. B 112, 125412 – Published 9 September, 2025

DOI: https://doi.org/10.1103/jf1w-wdg8

Abstract

A p-wave magnet has zero-net magnetization and induces a momentum-dependent spin-splitted band structure just as in the case of an altermagnet. It will be useful for high-density and ultrafast memory, where the direction of the spin-splitting vector may be used as a bit. However, it is a nontrivial problem to detect the spin-splitting vector in a p-wave magnet because time-reversal symmetry is preserved, while this is not a problem in an altermagnet because the anomalous Hall conductivity is present due to the breaking of time-reversal symmetry. Here, we show that it is possible to detect the in-plane component of the spin-splitting vector in the p-wave magnet by measuring the linear transverse and longitudinal Drude conductivity. Remarkably, this measurement is possible without using magnetization. Furthermore, we study the nonlinear Drude conductivity, the quantum-metric and the Berry curvature dipole induced nonlinear conductivity in the presence of tiny magnetization along the z axis. It is possible to detect the z-component of the spin-splitting vector by measuring the above nonlinear conductivities. We obtain analytic formulas for them in the first-order perturbation theory, which agree quite well with numerical results without perturbation.

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Phys. Rev. B 112, 125412– Published 9 September, 2025
  • Received 27 March 2025
  • Revised 15 July 2025
  • Accepted 21 August 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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