Magneto-Electric Effect in Three-dimensional Coupled Zigzag Chains

Abstract

Stimulated by recent studies of quantum phases with broken local inversion symmetry, we study the magnetoelectric effect in locally noncentrosymmetric metals. We consider three-dimensional (3D) coupled zigzag chains and demonstrate that the antiferromagnetic moment is induced by the electric current through a staggered antisymmetric spin-orbit coupling. This current-induced magnetism is much larger than that in globally noncentrosymmetric metals. We provide an intuitive understanding of the current-induced antiferromagnetic moment by showing the inverse magnetoelectric effect, that is, the ferroic p-wave charge nematic order accompanied by the asymmetric band structure in the antiferromagnetic state. We also examine conduction electrons coupled to localized spins via Kondo exchange coupling and demonstrate a significant enhancement of the magnetoelectric effect. A possible experimental observation of the magnetoelectric effect in metals is discussed, with focus on LnM_2Al_10 compounds, such as NdRu_Al_10 and TbRu_2Al_10.

Final version for publication

References in corpus (12)

• Spin current and magneto-electric effect in non-collinear magnets
• Dissipationless Quantum Spin Current at Room Temperature
• Current induced electron spin polarization in strained semiconductors
• Current-Induced Polarization and the Spin Hall Effect at Room Temperature
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Superconductivity and Magnetism in Non-centrosymmetric System: Application to CePt_3Si
• Anomalous Upper Critical Field in CeCoIn_5/YbCoIn_5 Superlattices with a Rashba-type Heavy Fermion Interface
• Possible pairing symmetries in SrPtAs with a local lack of inversion center
• Generation of spin currents and spin densities in systems with reduced symmetry
• Fermi liquid theory for heavy fermion superconductors without inversion symmetry : Magnetism and transport coefficients
• Complex-Stripe Phases Induced by Staggered Rashba Spin-Orbit Coupling
• Spin polarizations and spin Hall currents in a two-dimensional electron gas with magnetic impurities

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