Abstract
Axion field induced topological magnetoelectric response has attracted lots of attention since it was first proposed by Qi etal. [Phys. Rev. B 78, 195424 (2008).PRBMDO1098-012110.1103/PhysRevB.78.195424]. Here we find a new type of anticommutative magnetoelectric response β^{ξ}(ω), which can induce a dynamical magnetoelectric current driven by a time-varying magnetic field. Unlike the Chern-Simons axion term, this magnetoelectric response term is gauge independent and nonquantized, and manifests in the systems breaking the symmetries of the time reversal, inversion, and mirror. In particular, we propose the antiferromagnetic material Mn_{2}Bi_{2}Te_{5} as a material candidate to observe dynamical magnetoelectric current, in which a large magnetoelectric response term β^{ξ}(ω) originates from band inversion.
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