Vison states and confinement transitions of Z2 spin liquids on the kagome lattice

Abstract

We present a projective symmetry group (PSG) analysis of the spinless excitations of Z2 spin liquids on the kagome lattice. In the simplest case, vortices carrying Z2 magnetic flux ('visons') are shown to transform under the 48 element group GL(2, Z3). Alternative exchange couplings can also lead to a second case with visons transforming under 288 element group GL(2, Z3) \times D3. We study the quantum phase transition in which visons condense into confining states with valence bond solid order. The critical field theories and confining states are classified using the vison PSGs.

25 pages, 13 figures

References in corpus (16)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
• Putting competing orders in their place near the Mott transition
• Z2 spin liquid in S=1/2 Heisenberg model on Kagome lattice: A projective symmetry group study of Schwinger-fermion mean-field states
• Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice
• Global phase diagrams of frustrated quantum antiferromagnets in two dimensions: doubled Chern-Simons theory
• Valence-bond crystal in the extended kagome spin-1/2 quantum Heisenberg antiferromagnet: A variational Monte Carlo approach
• A Z${}_2$ spin-orbital liquid state in the square lattice Kugel-Khomskii model
• Variational study of J1-J2 Heisenberg model on Kagome lattice using projected Schwinger boson wave functions
• Flux expulsion and greedy bosons: frustrated magnets at large N
• Generalized Hardcore Dimer Models approach to low-energy Heisenberg frustrated antiferromagnets: general properties and application to the kagome antiferromagnet
• Theory of Néel and Valence-Bond-Solid Phases on the Kagome Lattice of Zn-paratacamite

Cited by in corpus (68)

• A classification of symmetry enriched topological phases with exactly solvable models
• Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
• Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Complex density wave orders and quantum phase transitions in a model of square-lattice Rydberg atom arrays
• Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• A K matrix Construction of Symmetry Enriched Phases of Matter
• Emergent ${\mathbb{Z}}_2$ gauge theories and topological excitations in Rydberg atom arrays
• Symmetric tensor networks and practical simulation algorithms to sharply identify classes of quantum phases distinguishable by short-range physics
• Quantum Spin Liquid in a Breathing Kagome Lattice
• Spectroscopic signatures of crystal momentum fractionalization
• Entanglement spectroscopy of SU(2)-broken phases in two dimensions
• Obtaining topological degenerate ground states by the density matrix renormalization group
• The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
• Detecting crystal symmetry fractionalization from the ground state: Application to ${\mathbb{Z}}_2$ spin liquids on the kagome lattice
• Deconfined Quantum Critical Point on the Triangular Lattice
• Unconventional Quantum Critical Points
• Valence-bond crystals in the kagome spin-1/2 Heisenberg antiferromagnet: a symmetry classification and projected wave function study
• Gutzwiller-projected states for the $J_1$-$J_2$ Heisenberg model on the kagome lattice: achievements and pitfalls
• Pinch-points to half-moons and up in the stars: the kagome skymap
• Unification of bosonic and fermionic theories of spin liquids on the kagome lattice
• Schwinger boson spin liquid states on square lattice
• Deconfined criticality and a gapless ${\mathbb{Z}}_2$ spin liquid in the square lattice antiferromagnet
• Quantum phases of two-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to single-component fermion matter
• Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
• Quantum spin liquid ground states of the Heisenberg-Kitaev model on the triangular lattice
• Competing Valence Bond Crystals in the Kagome Quantum Dimer Model
• Spin density wave order, topological order, and Fermi surface reconstruction
• Diagnosing Fractionalization from the Spin Dynamics of $Z_2$ Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations
• Two dimensional spin liquids with ${\mathbb{Z}}_2$ topological order in an array of quantum wires
• Space group symmetry fractionalization in a family of exactly solvable models with Z2 topological order
• String flux mechanism for fractionalization in topologically ordered phases
• Phenomenological Z_2 lattice gauge theory of the spin-liquid state of the kagome Heisenberg antiferromagnet
• Confinement transition to density wave order in metallic doped spin liquids
• ${\mathbb{Z}}_2$ gauge theory for valence bond solids on the kagome lattice
• Superconductivity from a confinement transition out of a fractionalized Fermi liquid with ${\mathbb{Z}}_2$ topological and Ising-nematic orders
• Valence bond solid and possible deconfined quantum criticality in an extended kagome lattice Heisenberg antiferromagnet
• Quantum Phase Transition between Z2 spin liquid and columnar Valence Bond Crystals on a Triangular lattice
• Valence bond phases of herbertsmithite and related copper kagome materials
• Sign structures for short-range RVB states on small kagome clusters
• Evidence for the topological order in a kagome antiferromagnet
• Optical conductivity of visons in Z2 spin liquids close to a VBS transition on the kagome lattice
• ${\mathbb{Z}}_2$ metallic spin liquid on a frustrated Kondo lattice
• Destroying a topological quantum bit by condensing Ising vortices
• Fermionic spin liquid analysis of the paramagnetic state in Volborthite
• Schwinger boson mean field theory: numerics for the energy landscape and gauge excitations in two-dimensional antiferromagnets
• Spin-phonon interactions on the kagome lattice: Dirac spin liquid versus valence-bond solids
• Projective symmetry of partons in Kitaev's honeycomb model
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• Signatures of spin-triplet excitations in optical conductivity of valence bond solids
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
• Spinless fermions in a ${\mathbb{Z}}_2$ gauge theory on the triangular ladder
• Topological and magnetic phase transitions in the bilayer Kitaev-Ising model
• Finite size effects in the Z_2 spin liquid on the kagome lattice
• Cubic* criticality emerging from a quantum loop model on triangular lattice
• Building Symmetry Enriched Topological Phases from a Bipartite Lattice Construction and Anyon Condensation
• Spinon Majorana fermions
• Detecting non-magnetic excitations in quantum magnets
• $Z_3$ topological order in the quantum dimer-pentamer model
• Solvable lattice models for metals with Z2 topological order
• Sign-problem-free effective models of triangular lattice quantum antiferromagnets
• Bulk and Boundary Quantum Phase Transitions in a Square Rydberg Atom Array
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Phase diagram of the J1-J2 Heisenberg second-order topological quantum magnet
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model