Kitaev magnetism in honeycomb RuCl3 with intermediate spin-orbit coupling

Abstract

Intensive studies of the interplay between spin-orbit coupling (SOC) and electronic correlations in transition metal compounds have recently been undertaken. In particular, $j_{\mathrm{eff}}$ = 1/2 bands on a honeycomb lattice provide a pathway to realize Kitaev's exactly solvable spin model. However, since current wisdom requires strong atomic SOC to make $j_{\mathrm{eff}}=1/2$ bands, studies have been limited to iridium oxides. Contrary to this expectation, we demonstrate how Kitaev interactions arise in 4$d$-orbital honeycomb $\alpha$-RuCl${}_3$, despite having significantly weaker SOC than the iridium oxides, via assistance from electron correlations. A strong coupling spin model for these correlation-assisted $j_{\mathrm{eff}}$ = 1/2 bands is derived, in which large antiferromagnetic Kitaev interactions emerge along with ferromagnetic Heisenberg interactions. Our analyses suggest that the ground state is a zigzag-ordered phase lying close to the antiferromagnetic Kitaev spin liquid. Experimental implications for angle resolved photoemission spectroscopy, neutron scattering, and optical conductivities are discussed.

arXiv comment8 pages, 5 figures, Accepted in Phys. Rev. B Rapid communications

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• Perturbed Kitaev model: excitation spectrum and long-ranged spin correlations
• Gapless excitations in non-Abelian Kitaev spin liquids with line defects
• Polarization-dependent magnetic properties of periodically driven $\alpha$-RuCl${}_3$
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• Role of disorder in the electronic and magnetic properties of Ag${}_3$LiIr${}_2$O${}_6$
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• Theory of rare-earth Kramers magnets on a Shastry-Sutherland lattice: dimer phases in presence of strong spin-orbit coupling
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