Theory of magnetoelectric resonance in two-dimensional $S=3/2$ antiferromagnet $\mathrm{B}{\mathrm{a}}_2\mathrm{CoG}{\mathrm{e}}_2{\mathrm{O}}_7$ via spin-dependent metal-ligand hybridization mechanism

Abstract

We investigate magnetic excitations in an $S=3/2$ Heisenberg model representing two-dimensional antiferromagnet $\mathrm{B}{\mathrm{a}}_2\mathrm{CoG}{\mathrm{e}}_2{\mathrm{O}}_7$. In terahertz absorption experiment of the compound, Goldstone mode as well as novel magnetic excitations, conventional magnetic resonance at 2 meV and both electric- and magnetic-active excitation at 4 meV, have been observed. By introducing a hard uniaxial anisotropy term $\Lambda (S^z{)}^2$, three modes can be explained naturally. We also indicate that, via the spin-dependent metal-ligand hybridization mechanism, the 4 meV excitation is an electric-active mode through the coupling between spin and electric-dipole. Moreover, at 4 meV excitation, an interference between magnetic and electric responses emerges as a cross correlated effect. Such cross correlation effects explain the non-reciprocal linear directional dichroism observed in $\mathrm{B}{\mathrm{a}}_2\mathrm{CoG}{\mathrm{e}}_2{\mathrm{O}}_7$.

5 pages, 3 figures

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