Intrinsic nonlinear conductivity induced by quantum geometry in altermagnets and measurement of the in-plane Néel vector

Abstract

The $z$-component of the Néel 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 Néel 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 Néel vector, and hence, the in-plane component of the Néel 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.

arXiv comment6 pages, 3 figures

References in corpus (37)

• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Efficient Electrical Spin-Splitter Based on Non-Relativistic Collinear Antiferromagnetism
• Momentum-Dependent Spin Splitting by Collinear Antiferromagnetic Ordering
• Broken Kramers' degeneracy in altermagnetic MnTe
• Spin current generation in organic antiferromagnets
• Field Induced Positional Shift of Bloch Electrons and its Dynamical Implications
• Tilted spin current generated by the collinear antiferromagnet RuO2
• Prediction of unconventional magnetism in doped FeSb2
• Antiferromagnetism in RuO${}_2$ as $d$-wave Pomeranchuk instability
• Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
• The Insulating State of Matter: A Geometrical Theory
• Quantum metric-induced nonlinear transport in a topological antiferromagnet
• Observation of Giant Band Splitting in Altermagnetic MnTe
• Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
• Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Twisted Magnetic Van der Waals Bilayers: An Ideal Platform for Altermagnetism
• Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
• Perovskite as a spin current generator
• Quantum geometry induced nonlinear transport in altermagnets
• Abelian and Non-Abelian Quantum Geometric Tensor
• Saturation of the anomalous Hall effect at high magnetic fields in altermagnetic RuO2
• Anisotropy of the anomalous Hall effect in the altermagnet candidate Mn${}_5$Si${}_3$ films
• Altermagnetic anomalous Hall effect emerging from electronic correlations
• Nonlinear electric transport in odd-parity magnetic multipole systems: Application to Mn-based compounds
• Fundamental bound on topological gap
• Systematic analysis method for nonlinear response tensors
• Momentum space metric, non-local operator, and topological insulators
• Tunable band topology and optical conductivity in altermagnets
• Dissipation and geometry in nonlinear quantum transports of multiband electronic systems
• Interplay between altermagnetism and nonsymmorphic symmetries generating large anomalous Hall conductivity by semi-Dirac points induced anticrossings
• Unifying semiclassics and quantum perturbation theory at nonlinear order
• Detecting the Néel vector of altermagnet by attaching a topological insulator and crystalline valley-edge insulator
• RKKY interaction in Rashba altermagnets
• Analytic approach to quantum metric and optical conductivity in Dirac models with parabolic mass in arbitrary dimensions
• Suppressed Kondo screening in two-dimensional altermagnets

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