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arXiv · 2409.09241

Intrinsic nonlinear conductivity induced by quantum geometry in altermagnets and measurement of the in-plane N\'{e}el vector

Motohiko Ezawa
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Abstract

The $z$-component of the N\'{e}el vector is measurable by the anomalous Hall conductivity in altermagnets because time reversal symmetry is broken. On the other hand, it is a nontrivial problem how to measure the in-plane component of the N\'{e}el vector. We study the second-order nonlinear conductivity of a system made of the $d$-wave altermagnet with the Rashba interaction. It is shown that the quantum-metric induced nonlinear conductivity and the nonlinear Drude conductivity are proportional to the in-plane component of the N\'{e}el vector, and hence, the in-plane component of the N\'{e}el vector is measurable. We obtain analytic formulas of the quantum-metric induced nonlinear conductivity and the nonlinear Drude conductivity both for the longitudinal and transverse conductivities. The quantum-metric induced nonlinear conductivity diverges at the Dirac point, while the nonlinear Drude conductivity is always finite. Hence, the quantum-metric induced nonlinear conductivity is dominant at the Dirac point irrespective of the relaxation time.

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Motohiko Ezawa. 2024-09-14. Intrinsic nonlinear conductivity induced by quantum geometry in altermagnets and measurement of the in-plane N\'{e}el vector. https://doi.org/10.1103/physrevb.110.l241405

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