Field-induced QCD${}_3$-Chern-Simons quantum criticalities in Kitaev materials

Abstract

Kitaev materials are promising for realizing exotic quantum spin liquid phases, such as a non-Abelian chiral spin liquid. Motivated by recent experiments in these materials, we theoretically study the novel field-induced quantum phase transitions from the non-Abelian chiral spin liquid to the symmetry-broken zigzag phase and to the trivial polarized state. Utilizing the recently developed dualities of gauge theories, we find these transitions can be described by critical bosons or gapless fermions coupled to emergent non-Abelian gauge fields, and the critical theories are of the type of a QCD${}_3$-Chern-Simons theory. We propose that all these exotic quantum phase transitions can potentially be direct and continuous in Kitaev materials, and we present sound evidence for this proposal. Therefore, besides being systems with intriguing quantum magnetism, Kitaev materials may also serve as table-top experimental platforms to study the interesting dynamics of emergent strongly interacting quarks and gluons in $2+1$ dimensions.

arXiv commentOnly the discussion on the QCD${}_3$-Chern-Simons quantum phase transitions are retained in this version, with more theoretical details and experimental signatures explicitly spelled out. The discussion on the gapless phase in the pure Kitaev model under a magnetic field will be published elsewhere

References in corpus (53)

• Anyons in an exactly solved model and beyond
• "Deconfined" quantum critical points
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• 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
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• The monoclinic crystal structure of $\alpha$-RuCl${}_3$ and the zigzag antiferromagnetic ground state
• 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
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Fermion Path Integrals And Topological Phases
• Is the Composite Fermion a Dirac Particle?
• 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 $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Deconfined quantum critical points: symmetries and dualities
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• Level/rank Duality and Chern-Simons-Matter Theories
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• Algebraic spin liquid as the mother of many competing orders
• Particle-Vortex Duality from 3d Bosonization
• Integer quantum Hall effect for bosons: A physical realization
• Theory of a continuous Mott transition in two dimensions
• Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
• Dual Dirac liquid on the surface of the electron topological insulator
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Theory of the field-revealed Kitaev spin liquid
• Quantization of the thermal Hall conductivity at small Hall angles
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Approximately quantized thermal Hall effect of chiral liquids coupled to phonons
• Confinement transition of ${\mathbb{Z}}_2$ gauge theories coupled to massless fermions: emergent QCD${}_3$ and $SO(5)$ symmetry
• Quantum Phase Transition between Integer Quantum Hall States of Bosons
• A continuous transition between fractional quantum Hall and superfluid states
• Symmetry protected Spin Quantum Hall phases in 2-Dimensions
• Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$
• An Adventure in Topological Phase Transitions in 3 + 1-D: Non-abelian Deconfined Quantum Criticalities and a Possible Duality
• Quantum phase transitions between bosonic symmetry protected topological phases in two dimensions: emergent $QE{D}_3$ and anyon superfluid
• Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
• From Bosonic Topological Transition to Symmetric Fermion Mass Generation
• The phase transitions between $Z_n\times Z_n$ bosonic topological phases in 1+1 D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases
• Non-Abelian 3d Bosonization and Quantum Hall States
• Emergent Multi-flavor QED3 at the Plateau Transition between Fractional Chern Insulators: Applications to graphene heterostructures
• Monopole Quantum Numbers in the Staggered Flux Spin Liquid
• Bulk characterization of topological crystalline insulators: stability under interactions and relations to symmetry enriched U(1) quantum spin liquids
• Polarization-resolved Raman spectroscopy of α-RuCl3 and evidence of room temperature two-dimensional magnetic scattering
• Symmetry enriched U(1) quantum spin liquids
• Kagome chiral spin liquid as a gauged U(1) symmetry protected topological phase
• Dimensional decoupling at continuous quantum critical Mott transitions

Cited by in corpus (33)

• Sign structure of thermal Hall conductivity for in-plane-field polarized Kitaev magnets
• Thermal Hall effects in quantum magnets
• Spin-1 Kitaev-Heisenberg model on a two-dimensional honeycomb lattice
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• Novel chiral quantum spin liquids in Kitaev magnets
• Landau-Forbidden Quantum Criticality in Rydberg Quantum Simulators
• Tuning topological orders by a conical magnetic field in the Kitaev model
• Critical Fermi surfaces in generic dimensions arising from transverse gauge field interactions
• Deconfined metallic quantum criticality: A $U(2)$ gauge-theoretic approach
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• Testing Ising Topological Order in $\alpha$-RuCl${}_3$ Under In-Plane Magnetic Fields
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Field Induced Chiral Soliton Phase in the Kitaev Spin Chain
• Deconfined Metal-Insulator Transitions in Quantum Hall Bilayers
• A new series of 3D CFTs with $\mathrm{Sp}(N)$ global symmetry on fuzzy sphere
• Emergent QCD${}_3$ Quantum Phase Transitions of Fractional Chern Insulators
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Thermal Hall conductivity near field-suppressed magnetic order in a Kitaev-Heisenberg model
• Classification of symmetry-enriched topological quantum spin liquids
• Continuous transition between Ising magnetic order and a chiral spin liquid
• The Future of the Correlated Electron Problem
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Free and Interacting Fermionic Conformal Field Theories on the Fuzzy Sphere
• Field tuning Kitaev systems for spin fractionalization and topological order
• Proliferation transitions from a topological phase in $2+1$ dimensions
• Microscopic theory of field-tuned topological transitions in the Kitaev honeycomb model
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction