$\mathrm{SU}(4)$-Symmetric Quantum Spin-Orbital Liquids on Various Lattices

Abstract

An emergent $\mathrm{SU}(4)$ symmetry discovered in the microscopic model for $d^1$ honeycomb materials [M.~G.~Yamada, M.~Oshikawa, and G.~Jackeli, Phys. Rev. Lett. \textbf{121}, 097201 (2018).] has enabled us to tailor exotic $\mathrm{SU}(4)$ models in real materials. In the honeycomb structure, the emergent $\mathrm{SU}(4)$ Heisenberg model would potentially have a quantum spin-orbital liquid ground state due to the \textit{multicomponent frustration}, and we can expect similar spin-orbital liquids also in three-dimensinal versions of the honeycomb lattice. In such quantum spin-orbital liquids, both the spin and orbital degrees of freedom become fractionalized and entangled together due to the strong frustrated interactions between them. Similarly to spinons in pure quantum spin liquids, quantum spin-orbital liquids can host not only spinon excitations, but also fermionic \textit{orbitalon} excitations at low temperature.

17 pages, 11 figures, 2 tables. Full paper of Phys. Rev. Lett. 121, 097201 (arXiv:1709.05252) and a PhD thesis (arXiv:2004.01716) with substantially more details and extensions

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Cited by in corpus (9)

• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Phase diagram of the square lattice Hubbard model with Rashba-type antisymmetric spin-orbit coupling
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model
• Twisting the Dirac cones of the SU(4) spin-orbital liquid on the honeycomb lattice
• Canted antiferromagnetism in a spin-orbit coupled $S_{\text{eff}}=3/2$ triangular-lattice magnet DyAuGe
• Thermodynamic signature of the $\mathrm{SU}(4)$ spin-orbital liquid and symmetry fractionalization from the Lieb-Schultz-Mattis theorem
• Even-odd effects in the $J_1-J_2$ SU($N$) Heisenberg spin chain
• Long-range spin-orbital order in the spin-orbital SU(2)$\times$SU(2)$\times$U(1) model