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- W2754370404 abstract "While the enhancement of the spin-space symmetry from the usual $mathrm{SU}(2)$ to $mathrm{SU}(N)$ is promising for finding nontrivial quantum spin liquids, its realization in magnetic materials remains challenging. Here we propose a new mechanism by which the $mathrm{SU}(4)$ symmetry emerges in the strong spin-orbit coupling limit. In $d^1$ transition metal compounds with edge-sharing anion octahedra, the spin-orbit coupling gives rise to strongly bond-dependent and apparently $mathrm{SU}(4)$-breaking hopping between the $J_textrm{eff}=3/2$ quartets. However, in the honeycomb structure, a gauge transformation maps the system to an $mathrm{SU}(4)$-symmetric Hubbard model. In the strong repulsion limit at quarter filling, as realized in $alpha$-ZrCl$_3,$ the low-energy effective model is the $mathrm{SU}(4)$ Heisenberg model on the honeycomb lattice, which cannot have a trivial gapped ground state and is expected to host a gapless spin-orbital liquid. By generalizing this model to other three-dimensional lattices, we also propose crystalline spin-orbital liquids protected by this emergent $mathrm{SU}(4)$ symmetry and space group symmetries." @default.
- W2754370404 created "2017-09-25" @default.
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- W2754370404 date "2017-09-15" @default.
- W2754370404 modified "2023-09-27" @default.
- W2754370404 title "Emergent $SU(4)$ Symmetry in $alpha$-ZrCl$_3$ and Crystalline Spin-Orbital Liquids" @default.
- W2754370404 hasPublicationYear "2017" @default.
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