Materials design of Kitaev spin liquids beyond the Jackeli–Khaliullin mechanism

Abstract

The Kitaev spin liquid provides a rare example of well-established quantum spin liquids in more than one dimension. It is obtained as the exact ground state of the Kitaev spin model with bond-dependent anisotropic interactions. The peculiar interactions can be yielded by the synergy of spin-orbit coupling and electron correlations for specific electron configuration and lattice geometry, which is known as the Jackeli–Khaliullin mechanism. Based on this mechanism, there has been a fierce race for the materialization of the Kitaev spin liquid over the last decade, but the candidates have been still limited mostly to 4d- and 5d-electron compounds including cations with the low-spin d5 electron configuration, such as Ir4+ and Ru3+. Here we discuss recent efforts to extend the material perspective beyond the Jackeli–Khaliullin mechanism, by carefully reexamining the two requisites, formation of the jeff = 1/2 doublet and quantum interference between the exchange processes, for not only d- but also f-electron systems. We present three examples: the systems including Co2+ and Ni3+ with the high-spin d7 electron configuration, Pr4+ with the f1-electron configuration, and polar asymmetry in the lattice structure. In particular, the latter two are intriguing since they may realize the antiferromagnetic Kitaev interactions, in contrast to the ferromagnetic ones in the existing candidates. This partial overview would stimulate further material exploration of the Kitaev spin liquids and its topological properties due to fractional excitations.