$\mathrm{SU}(4)$-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.

arXiv comment17 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

References in corpus (52)

• Anyons in an exactly solved model and beyond
• Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
• Quantum Orders and Symmetric Spin Liquids
• Strong electronic correlations from Hund's coupling
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Topological Superconductivity in Twisted Multilayer Graphene
• Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
• The Flux-Phase of the Half-Filled Band
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Is 1T-TaS${}_2$ a 40 year old quantum spin liquid?
• Orbital liquid in three dimensional Mott insulator: $LaTi{O}_3$
• A new spin-anisotropic harmonic honeycomb iridate
• Filling constraints for spin-orbit coupled insulators in symmorphic and non-symmorphic crystals
• Topological Order and Absence of Band Insulators at Integer Filling in Non-Symmorphic Crystals
• Spin-orbital quantum liquid on the honeycomb lattice
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Three dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite-D approximation
• Simultaneous dimerization and SU(4) symmetry breaking of 4-color fermions on the square lattice
• Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
• Weyl spin liquids
• Lattice Homotopy Constraints on Phases of Quantum Magnets
• Emergent $\mathrm{SU}(4)$ Symmetry in $\alpha$-ZrCl${}_3$ and Crystalline Spin-Orbital Liquids
• Coexisting localized and itinerant gapless excitations in a quantum spin liquid candidate 1T-TaS${}_2$
• Spin--orbital interaction for face-sharing octahedra: Realization of a highly symmetric SU(4) model
• Sufficient Conditions for Topological Order in Insulators
• A Z${}_2$ spin-orbital liquid state in the square lattice Kugel-Khomskii model
• Generalization of the Haldane conjecture to SU(3) chains
• Frustration and entanglement in the $t_{2g}$ spin--orbital model on a triangular lattice: valence--bond and generalized liquid states
• Spin-Orbit Dimers and Non-Collinear Phases in $d^1$ Cubic Double Perovskites
• Anomaly matching and symmetry-protected critical phases in $SU(N)$ spin systems in 1+1 dimensions
• Heat transport study of the spin liquid candidate 1T-TaS2
• Magnetic Orders Proximal to the Kitaev Limit in Frustrated Triangular Systems: Application to Ba${}_3$IrTi${}_2$O${}_9$
• Filling-enforced constraint on the quantized Hall conductivity on a periodic lattice
• Spin-valley density wave in moiré materials
• Spin-Peierls Instability of Three-Dimensional Spin Liquids with Majorana Fermi Surfaces
• SU(4) Heisenberg model on the honeycomb lattice with exchange-frustrated perturbations: implications for twistronics and Mott insulators
• SU(6) Heisenberg model on the honeycomb lattice: competition between plaquette and chiral order
• Crystalline Kitaev spin liquids
• Spin-orbital resonating valence bond liquid on a triangular lattice: Evidence from finite-cluster diagonalization
• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• Exploring the spin-orbital ground state of Ba3CuSb2O9
• Dimer phases in quantum antiferromagnets with orbital degeneracy
• The Existence of Featureless Paramagnets on the Square and the Honeycomb Lattices in 2+1D
• Dynamical Jahn-Teller Effect in Spin-Orbital Coupled System
• Emergent Fermi surface in a triangular-lattice SU(4) quantum antiferromagnet
• Zeeman interaction and Jahn-Teller effect in ${\Gamma }_8$ multiplet
• Observation of the orbital quantum dynamics in the spin-1/2 hexagonal antiferromagnet Ba3CuSb2O9
• Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model
• Resonating Valence-Bond State in an Orbitally Degenerate Quantum Magnet with Dynamical Jahn-Teller Effect
• Spin-Orbital Density Wave and a Mott Insulator in a Two-Orbital Hubbard Model on a Honeycomb Lattice
• Theory of Dirac Spin-Orbital Liquids: monopoles, anomalies, and applications to $SU(4)$ honeycomb models

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