Quantum theory of the Intrinsic Orbital Magnetoelectric Effect in itinerant electron systems at finite temperatures

Abstract

Magnetization can be induced by an electric field in systems without inversion symmetry $\mathcal{P}$ and time-reversal symmetry $\mathcal{T}$. This phenomenon is called the magnetoelectric (ME) effect. The spin ME effect has been actively studied in multiferroics. The orbital ME effect also exists and has been mainly discussed in topological insulators at zero temperature. In this paper, we study the intrinsic orbital ME response in metals at finite temperature using the Kubo formula. The intrinsic response originates from the Fermi sea and does not depend on the dissipation. Especially in systems with $\mathcal{P}\mathcal{T}$-symmetry, the extrinsic orbital ME effect becomes zero, and the intrinsic ME effect is dominant. We apply the response tensor obtained in this work to a $\mathcal{P}\mathcal{T}$-symmetric model Hamiltonian with antiferromagnetic loop current order demonstrating that the intrinsic ME effect is enhanced around the Dirac points.

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• Orbital Gravito-Magnetoelectric response and Orbital magnetic quadrupole moment correction
• Quantum Geometric Origin of Orbital Magnetization
• Synthetic magnetoelectric response of lattice bosonic insulators
• Orbital optical activity in noncentrosymmetric metals and superconductors
• Intrinsic spin accumulation in the magnetic spin Hall effect
• Orbital Hall effect in spin-3/2 hole-doped semiconductors and its implications for orbitronics
• Ge as an orbitronic platform: giant in-plane orbital magneto-electric effect in a 2-dimensional hole gas