Twisting the Dirac cones of the SU(4) spin-orbital liquid on the honeycomb lattice

Abstract

By combining the density matrix renormalization group (DMRG) method with Gutzwiller projected wave functions, we study the SU(4) symmetric spin-orbital model on the honeycomb lattice. We find that the ground states can be well described by a Gutzwiller projected $\pi$-flux state with Dirac-type gapless excitations at one quarter filling. Although these Dirac points are gapped by emergent gauge fluxes on finite cylinders, they govern the critical behavior in the thermodynamic limit. By inserting a $\theta =\pi$ spin flux to twist the boundary condition, we can shift the gapless sector to the ground state, which provides compelling evidence for the presence of a gapless Dirac spin-orbital liquid.

4 pages, 2 figures, and 1 table in the main text + 3 pages supplemental material

References in corpus (21)

• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• $\Gamma$-Valley Transition-Metal-Dichalcogenide Moirè Bands
• Spin-orbital quantum liquid on the honeycomb lattice
• SU(4) chiral spin liquid, exciton supersolid and electric detection in moiré bilayers
• Spin--orbital interaction for face-sharing octahedra: Realization of a highly symmetric SU(4) model
• A Z${}_2$ spin-orbital liquid state in the square lattice Kugel-Khomskii model
• Exact spontaneous plaquette ground states for high-spin ladder models
• Quantum Phase Transition in the SU(4) Spin-Orbital Model on the Triangular Lattice
• Spin-valley density wave in moiré materials
• Efficient MPS methods for extracting spectral information on rings and cylinders
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Finite and Infinite Matrix Product States for Gutzwiller Projected Mean-Field Wavefunctions
• Exploring the spin-orbital ground state of Ba3CuSb2O9
• Density matrix renormalization group boosted by Gutzwiller projected wave functions
• Topological chiral spin liquids and competing states in triangular lattice SU($N$) Mott insulators
• Matrix product states for Hartree-Fock-Bogoliubov wave functions
• $\mathrm{SU}(4)$-Symmetric Quantum Spin-Orbital Liquids on Various Lattices
• Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model
• Intertwining SU($N$) symmetry and frustration on a honeycomb lattice
• Can the highly symmetric SU(4) spin-orbital model be realized in alpha-ZrCl3?
• Thermodynamic signature of the $\mathrm{SU}(4)$ spin-orbital liquid and symmetry fractionalization from the Lieb-Schultz-Mattis theorem

Cited by in corpus (7)

• Trimer quantum spin liquid in a honeycomb array of Rydberg atoms
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Efficient conversion from fermionic Gaussian states to matrix product states
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• A Promising Method for Strongly Correlated Electrons in Two Dimensions: Gutzwiller-Guided Density Matrix Renormalization Group
• Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice