Emergent quantum phases in a frustrated J1-J2 Heisenberg model on hyperhoneycomb lattice

Abstract

We investigate possible quantum ground states as well as the classical limit of a frustrated J1-J2 Heisenberg model on the three-dimensional (3D) hyperhoneycomb lattice. Our study is inspired by the recent discovery of beta-Li2IrO3, where Ir^{4+} ions form a 3D network with each lattice site being connected to three nearest neighbors. We focus on the influence of magnetic frustration caused by the second-nearest neighbor spin interactions. Such interactions are likely to be significant due to large extent of 5d orbitals in iridates or other 5d transition metal oxides. In the classical limit, the ground state manifold is given by line degeneracies of the spiral magnetic-order wavevectors when J2/J1\gtrsim 0.17 while the collinear stripy order is included in the degenerate manifold when J2/J1 = 0.5. Quantum order-by-disorder effects are studied using both the semi-classical $1/S$ expansion in the spin wave theory and Schwinger boson approach. In general, certain coplanar spiral orders are chosen from the classical degenerate manifold for a large fraction of the phase diagram. Nonetheless quantum fluctuations favor the collinear stripy order over the spiral orders in an extended parameter region around J2/J1 = 0.5, despite the spin-rotation invariance of the underlying Hamiltonian. This is in contrast to the emergence of stripy order in the Heisenberg-Kitaev model studied earlier on the same lattice, where the Kitaev-type Ising interactions are important for stabilizing the stripy order. As quantum fluctuations become stronger, U(1) and Z2 quantum spin liquid phases are shown to arise via quantum disordering of the Neel, stripy and spiral magnetically-ordered phases. The effects of magnetic anisotropy and their relevance to future experiments are also discussed.

arXiv comment12 pages, 9 figures

References in corpus (29)

• 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
• Correlated quantum phenomena in the strong spin-orbit regime
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Mott physics and band topology in materials with strong spin-orbit interaction
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Topological and magnetic phases of interacting electrons in the pyrochlore iridates
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Topological insulators and metal-insulator transition in the pyrochlore iridates
• Crystal field splitting and correlation effect on the electronic structure of A2IrO3
• Na2IrO3 as a spin-orbit-assisted antiferromagnetic insulator with a 340 meV gap
• Exactly solvable Kitaev model in three dimensions
• Ab initio analysis of the tight-binding parameters and magnetic interactions in Na2IrO3
• Kitaev-Heisenberg-J2-J3 model for the iridates A2IrO3
• Quantum stabilization of 1/3-magnetization plateau in Cs_2CuBr_4
• Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
• Heisenberg-Kitaev model on hyperhoneycomb lattice
• Local density of states study of a spin-orbit-coupling induced Mott insulator Sr${}_2$IrO${}_4$
• Theory of the Ordered Phase in A-site Antiferromagnetic Spinels
• Flux expulsion and greedy bosons: frustrated magnets at large N
• Quantum order by disorder in frustrated diamond lattice antiferromagnets
• Finite-Temperature Phase Transition to a Quantum Spin Liquid in a Three-Dimensional Kitaev Model on a Hyperhoneycomb Lattice
• Order-by-disorder and magnetic field response in Heisenberg-Kitaev model on a hyperhoneycomb lattice
• Epitaxially stabilized iridium spinel oxide without cations in the tetrahedral site
• Topological and magnetic phases with strong spin-orbit coupling on the hyperhoneycomb lattice

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• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Classical Spin Spirals in Frustrated Magnets from Free-Fermion Band Topology
• Experimental Evidence for the Spiral Spin Liquid in LiYbO${}_2$
• Frustrated Magnetism of Dipolar Molecules on a Square Optical Lattice: Prediction of a Quantum Paramagnetic Ground State
• Frustration induced highly anisotropic magnetic patterns in classical $XY$ model on kagome lattice
• Color ice states, weathervane modes, and order by disorder in the bilinear-biquadratic pyrochlore Heisenberg antiferromagnet