Magneto-optics induced by the spin chirality in itinerant ferromagnet Nd${}_2$Mo${}_2$O${}_7$

Abstract

It is demonstrated both theoretically and experimentally that the spin chirality associated with a noncoplanar spin configuration produces a magneto-optical effect. Numerical study of the two-band Hubbard model on a triangle cluster shows that the optical Hall conductivity ${\sigma }_{xy}(\omega )$ is proportional to the spin chirality. The detailed comparative experiments on pyrochlore-type molybdates $R_2$Mo${}_2$O${}_7$ with $R=$Nd (Ising-like moments) and $R=$Gd (Heisenberg-like ones) clearly distinguishes the two mechanisms, i.e., spin chirality and spin-orbit interactions. It is concluded that for $R$=Nd, ${\sigma }_{xy}(\omega )$ is dominated by the spin chirality for the dc ($\omega =0$) and the $d\to d$ incoherent intraband optical transitions between Mo atoms.

4 pages, 5 figures. submitted to Phys. Rev. B

References in corpus (9)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
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• Spin Chirality Fluctuation and Anomalous Hall Effect in Itinerant Ferromagnets
• Effects of Crystal Structure and the On-Site Coulomb Interactions on the Electronic and Magnetic Structure of Pyrochlores $A_2$Mo${}_2$O${}_7$ (A= Y, Gd, and Nd)
• Chemical Control of Spin Chirality in $(N{d}_{1-x}D{y}_x{)}_{2}M{o}_2{O}_7$

Cited by in corpus (5)

• Anomalous Hall effect
• Magnetic Pyrochlore Oxides
• Topological magneto-optical effects and their quantization in noncoplanar antiferromagnets
• Giant magneto-optical response in non-magnetic semiconductor BiTeI driven by bulk Rashba spin splitting
• Noncollinear and noncoplanar magnetic order in the extended Hubbard model on anisotropic triangular lattice