Algebraic spin liquid in an exactly solvable spin model

Abstract

We have proposed an exactly solvable quantum spin-3/2 model on a square lattice. Its ground state is a quantum spin liquid with a half integer spin per unit cell. The fermionic excitations are gapless with a linear dispersion, while the topological "vison" excitations are gapped. Moreover, the massless Dirac fermions are stable. Thus, this model is, to the best of our knowledge, the first exactly solvable model of half-integer spins whose ground state is an "algebraic spin liquid."

4 pages, 1 figure

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Cited by in corpus (98)

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• Anomalous metals -- failed superconductors
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• Dynamics of Fractionalization in Quantum Spin Liquids
• Disorder in a quantum spin liquid: flux binding and local moment formation
• Site dilution in Kitaev's honeycomb model
• Microscopic models for Kitaev's sixteenfold way of anyon theories
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Physical solutions of the Kitaev honeycomb model
• Z_2-slave-spin theory for strongly correlated fermions
• A $\Gamma$-matrix generalization of the Kitaev model
• Exact Chiral Spin Liquid with Stable Spin Fermi Surface on the Kagome Lattice
• Numerical treatment of spin systems with unrestricted spin length $S$: A functional renormalization group study
• Interacting non-Abelian anyons as Majorana fermions in the honeycomb lattice model
• SU(2)-invariant spin liquids on the triangular lattice with spinful Majorana excitations
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Magnetic impurities in the honeycomb Kitaev model
• Majorana Corner Modes in a Second-Order Kitaev Spin Liquid
• Chiral spin-orbital liquids with nodal lines
• Doping a topological quantum spin liquid: slow holes in the Kitaev honeycomb model
• Quantum spin metal state on a decorated honeycomb lattice
• Unveiling the S=3/2 Kitaev Honeycomb Spin Liquids
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• Flux crystals, Majorana metals, and flat bands in exactly solvable spin-orbital liquids
• Kondo impurities in the Kitaev spin liquid: Numerical renormalization group solution and gauge-flux-driven screening
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• Gapless Spin Liquids: Stability and Possible Experimental Relevance
• Fermion-induced quantum critical points in two-dimensional Dirac semimetals
• Topological Insulators and Quantum Spin Liquids
• Time-reversal symmetric Kitaev model and topological superconductor in two dimensions
• Order Fractionalization in a Kitaev-Kondo model
• An exactly solvable BCS-Hubbard Model in arbitrary dimensions
• Nature of a topological quantum phase transition in a chiral spin liquid model
• Bilayer Kitaev models: Phase diagrams and novel phases
• SU(2)-invariant Majorana spin liquid with stable parton Fermi surfaces in an exactly solvable model
• Three-dimensional topological phases in a layered honeycomb spin-orbital model
• Spin-liquid insulators can be Landau's Fermi liquids
• Determining quantum phase diagrams of topological Kitaev-inspired models on NISQ quantum hardware
• An Exact Chiral Amorphous Spin Liquid
• Kitaev model and dimer coverings on the honeycomb lattice
• Spin-1 Kitaev model in one dimension
• A stable Algebraic Spin Liquid in a Hubbard model
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Kitaev spin-orbital bilayers and their moiré superlattices
• Phonon thermal transport shaped by strong spin-phonon scattering in a Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Exactly Solvable Topological Chiral Spin Liquid with Random Exchange
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Power-Law Behavior of Bond Energy Correlators in a Kitaev-type Model with a Stable Parton Fermi Surface
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Magnetic fragmentation and fractionalized Goldstone modes in a bilayer quantum spin liquid
• Realization of the Exactly Solvable Kitaev Honeycomb Lattice Model in a Spin Rotation Invariant System
• Fractionalized Prethermalization in a Driven Quantum Spin Liquid
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field
• Phases and phase transitions of a perturbed Kekulé-Kitaev model
• Compass and Kitaev models -- Theory and Physical Motivations
• An exactly solvable dissipative spin liquid
• Exact Chiral Spin Liquids and Mean-Field Perturbations of Gamma Matrix Models on the Ruby Lattice
• Bilinear Majorana representations for spin operators with spin magnitudes $S>1/2$
• Phase diagrams of SO($N$) Majorana-Hubbard models: Dimerization, internal symmetry breaking, and fluctuation-induced first-order transitions
• Spin Transport in Quantum Spin-Orbital Liquids
• Bosonization of Majorana modes and edge states
• Hyperbolic Spin Liquids
• Bound states of fractionalized excitations in a modulated Kitaev spin liquid
• Raman Scattering Polarization and Single Spinon Identification in Two-Dimensional Kitaev Quantum Spin Liquids
• Pristine Mott Insulator from an Exactly Solvable Spin-1/2 Kitaev Model
• Exactly solvable model of topological insulator realized on spin-1/2 lattice
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Drag resistance mediated by quantum spin liquids
• Symmetry-protected topological phases, conformal criticalities, and duality in exactly solvable SO($n$) spin chains
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Projective symmetry group classification of $Z_3$ parafermion spin liquids on a honeycomb lattice
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Quasicrystalline Spin Liquid
• Magnetic order through Kondo coupling to quantum spin liquids
• A study of dissipative models based on Dirac matrices
• Majorana corner states in square and Kagome quantum spin liquids
• Lacing topological orders in two dimensions: exactly solvable models for Kitaev's sixteen-fold way
• Exactly Solvable 1D Quantum Models with Gamma Matrices
• Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU($N$) Kondo lattice model
• Floating topological phases
• Wegner's Ising gauge spins versus Kitaev's Majorana partons: Mapping and application to anisotropic confinement in spin-orbital liquids
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Kitaev Meets Affleck-Kennedy-Lieb-Tasaki: Competing Quantum Disorder in Spin-3/2 Honeycomb Systems
• The Kekulé-Kitaev model: linear and non-linear responses and magnetic field effects
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Topological Characterization of Kitaev Spin Nanoribbons with Ordered Flux Configurations
• Three-dimensional spin-orbital liquids
• Giant magnetoresistance of edge current between fermion and spin topological systems
• Thermodynamics of dilute XX chain in a field
• Transverse Field $\gamma$-Matrix Spin Chains
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality
• Exactly solvable spin liquids in Kitaev bilayers and moiré superlattices
• Signatures of a Majorana-Fermi surface in the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$