Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo

Abstract

We discuss the discovery by variational Monte Carlo (VMC) methods of a series of multinode quantum spin liquids (QSLs) in extended Kitaev models on the honeycomb lattice. Like the gapless Kitaev spin liquid with its two nodes at K and K${}^{\prime }$, these multinode QSLs are characterized by an emergent Z${}_2$ gauge structure and a discrete number of symmetry-protected Majorana cones in their low-energy excitation spectrum. Because the cones are gapped by weak magnetic fields, nonzero Chern numbers are obtained and the ground state becomes one of many possible Abelian or non-Abelian chiral spin liquids. Here we focus on the projective symmetry group (PSG)-guided VMC approach to the Kitaev model with various symmetry-allowed extended interactions. Based on the VMC phase diagrams of these models, we propose a framework for the classification of nodal QSLs that includes the PSG, the chiralities of the cones, and the way in which the cones are symmetry-related. At present, the known candidate Kitaev materials seem to lie outside the parameter regimes of the multinode QSL phases. However, with more than 100 Z${}_2$ PSGs for spin-orbit-coupled states on the honeycomb lattice, we anticipate that more than one multinode QSL will be realized experimentally in future work.

10 pages, 7 figures, 1 table; this version is very close to the published version in npj Quantum Materials and is much more readable

References in corpus (81)

• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• The density-matrix renormalization group
• Topological entanglement entropy
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Detecting topological order in a ground state wave function
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Quantum Spin Liquids
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Quantum Orders and Symmetric Spin Liquids
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Kitaev quantum spin liquid - concept and materialization
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Models and Materials for Generalized Kitaev Magnetism
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• Symmetry Fractionalization, Defects, and Gauging of Topological Phases
• Computational Studies of Quantum Spin Systems
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• The monoclinic crystal structure of $\alpha$-RuCl${}_3$ and the zigzag antiferromagnetic ground state
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• Low-temperature crystal and magnetic structure of $\alpha$-RuCl3
• Direct evidence of a zigzag spin chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation on single crystal $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• Successive magnetic phase transitions in $\mathbf{\alpha }$-RuCl${}_3$: XY-like frustrated magnet on the honeycomb lattice
• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Hunting Majorana Fermions in Kitaev Magnets
• Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
• Experimental identification of quantum spin liquids
• Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of alpha-RuCl3
• Possible proximity of the Mott insulating Iridate Na2IrO3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
• Robustness of the thermal Hall effect close to half-quantization in a field-induced spin liquid state
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Doping a spin-orbit Mott Insulator: Topological Superconductivity from the Kitaev-Heisenberg Model and possible application to (Na2/Li2)IrO3
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• The planar thermal Hall conductivity in the Kitaev magnet α-RuCl3
• Anomalous Symmetry Fractionalization and Surface Topological Order
• Ferromagnetic Kitaev interaction and the origin of large magnetic anisotropy in $\alpha$-RuCl${}_3$
• Sample dependence of the half-integer quantized thermal Hall effect in the Kitaev candidate $\alpha$-RuCl${}_3$
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Theory of the field-revealed Kitaev spin liquid
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Low-energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit
• Spin-orbit phase behaviors of Na2Co2TeO6 at low temperatures
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• One Proximate Kitaev Spin Liquid in the $K$-$J$-$\Gamma$ Model on the Honeycomb Lattice
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Toward Kitaev's sixteenfold way in a honeycomb lattice model
• Pressure-induced melting of magnetic order and emergence of new quantum state in alpha-RuCl3
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• High-pressure magnetization and NMR studies on $\alpha$-RuCl${}_3$
• Spin Liquid versus Spin Orbit Coupling on the Triangular Lattice
• Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point
• Fermionic theory for quantum antiferromagnets with spin S > 1/2
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• Origin of oscillatory structures in the magnetothermal conductivity of the putative Kitaev magnet $\alpha$-RuCl${}_3$
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• Oscillations in the magnetothermal conductivity of $\mathbf{\alpha }$-RuCl${}_3$: Evidence of transition anomalies
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• Quantum Paraelectricity in the Kitaev Quantum-Spin-Liquid Candidates H${}_3$LiIr${}_2$O${}_6$ and D${}_3$LiIr${}_2$O${}_6$
• Stacking disorder and thermal transport properties of $\alpha$-RuCl${}_3$
• Effective Spin Couplings in the Mott Insulator of the Honeycomb Lattice Hubbard Model
• The sample-dependent and sample-independent thermal transport properties of $\alpha$-RuCl${}_3$
• Tuning topological orders by a conical magnetic field in the Kitaev model
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Multinode quantum spin liquids on the honeycomb lattice
• Exchange interactions in $d^5$ Kitaev materials: From Na${}_2$IrO${}_3$ to $\alpha$-RuCl${}_3$
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Symmetry-protected gapless spin liquids on the strained honeycomb lattice
• Representation Theory for Massless Quasiparticles in Bogoliubov-de Gennes Systems
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field

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