SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice

Abstract

We study the effective spin-orbital model that describes the magnetism of 4$d^1$ or 5$d^1$ Mott insulators in ideal tricoordinated lattices. In the limit of vanishing Hund's coupling, the model has an emergent SU(4) symmetry which is made explicit by means of a Klein transformation on pseudospin degrees of freedom. Taking the hyperhoneycomb lattice as an example, we employ parton constructions with fermionic representations of the pseudospin operators to investigate possible quantum spin-orbital liquid states. We then use variational Monte Carlo (VMC) methods to compute the energies of the projected wave functions. Our numerical results show that the lowest-energy quantum liquid corresponds to a zero-flux state with a Fermi surface of four-color fermionic partons. In spite of the Fermi surface, we demonstrate that this state is stable against tetramerization. A combination of linear flavor wave theory and VMC applied to the complete microscopic model also shows that this liquid state is stable against the formation of collinear long-range order.

arXiv comment15 pages,11 figures. The updated version includes two corrections: the inclusion of neglected terms on the complete model (Eqs. (17)-(20)) and the assignment of the sublattices for the Klein transformation (this was presupposed in the first version, but incorrectly assigned). The stability of the QSOL was studied using a combination of LFWT and VMC

References in corpus (52)

• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Correlated quantum phenomena in the strong spin-orbit regime
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Models and Materials for Generalized Kitaev Magnetism
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Orbital order and fluctuations in Mott insulators
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• SU(4) Theory for Spin Systems with Orbital Degeneracy
• Exotic phases induced by strong spin-orbit coupling in ordered double perovskites
• A new magnetic field dependence of Landau levels on a graphene like structure
• Tight-binding modeling and low-energy behavior of the semi-Dirac point
• Finite-temperature phase diagram of the Heisenberg-Kitaev model
• Exactly solvable Kitaev model in three dimensions
• Kitaev-Heisenberg-J2-J3 model for the iridates A2IrO3
• Spin-orbital quantum liquid on the honeycomb lattice
• Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $\beta$-Li2IrO3: full solution via magnetic resonant x-ray diffraction
• Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Alternating Spin and Orbital Dimerization in Strong-coupling Two-band Models
• 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
• Phase diagram of a 1 dimensional spin-orbital model
• Heisenberg-Kitaev model on hyperhoneycomb lattice
• Weyl spin liquids
• Kitaev Materials
• Emergent $\mathrm{SU}(4)$ Symmetry in $\alpha$-ZrCl${}_3$ and Crystalline Spin-Orbital Liquids
• Spin--orbital interaction for face-sharing octahedra: Realization of a highly symmetric SU(4) model
• Strongly frustrated triangular spin lattice emerging from triplet dimer formation in honeycomb Li2IrO3
• A Z${}_2$ spin-orbital liquid state in the square lattice Kugel-Khomskii model
• Spin-Orbit Dimers and Non-Collinear Phases in $d^1$ Cubic Double Perovskites
• SU(N) quantum spin models: A variational wavefunction study
• Spontaneous plaquette formation in the SU(4) Spin-Orbital ladder
• Spin Liquid versus Spin Orbit Coupling on the Triangular Lattice
• Chiral spin-orbital liquids with nodal lines
• The vicinity of hyper-honeycomb $\beta$-Li2IrO3 to a three-dimensional Kitaev spin liquid state
• Linear Flavor-Wave Theory for Fully Antisymmetric $\mathrm{SU}(N)$ Irreducible Representations
• Dynamics of a j=3/2 quantum spin liquid
• Tetramerization in a SU(4)-Heisenberg model on the honeycomb lattice
• Role of the spin-orbit coupling in the Kugel-Khomskii model on the honeycomb lattice
• Spin dynamics of counterrotating Kitaev spirals via duality

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• Thermodynamic signature of the $\mathrm{SU}(4)$ spin-orbital liquid and symmetry fractionalization from the Lieb-Schultz-Mattis theorem
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Stability of ordered and disordered phases in the Heisenberg-Kitaev model in a magnetic field