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The magneto-optical Kerr effect (MOKE) has recently been discovered inantiferromagnetic Kagome lattice Mn3Sn. Since the compound exhibits a coplanar$120^\circ$ antiferromagnetic (AFM) order, the magnetic moments cancel eachother, and the net magnetization is almost zero. However, the MOKE is alloweddue to the lack of the time-reversal symmetry (TRS) of the AFM order. X-raymagnetic circular dichroism (XMCD) can detect a difference in up and down thespin density of states (DOS), and thus XMCD originating from the spin operator,the so-called Sz term, should be negligibly small as well as the netmagnetization. Nonetheless, we show that XMCD originating from the magneticdipole operator, the so-called Tz term, should remain uncancelled in the AFMwith the broken TRS. Moreover, we clarify that there is a strong link betweenthe Tz term and the augmented magnetic octupole (AMO), which suggests that XMCDcan be an effective approach for analyzing multipole moments inantiferromagnets.

Augmented Magnetic Octupole in Kagome Antiferromagnets Detectable via X-ray Magnetic Circular Dichroism