Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State

Abstract

We construct a Hamiltonian that singles out the chiral spin liquid on a square lattice with periodic boundary conditions as the exact and, apart from the two-fold topological degeneracy, unique ground state.

5 pages, no figures

References in corpus (11)

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• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Topologically protected quantum bits from Josephson junction arrays
• Exotic order in simple models of bosonic systems
• Observation of Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer
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• Statistical Phases and Momentum Spacings for One-Dimensional Anyons
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Cited by in corpus (133)

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• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
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• Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
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• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Chiral spin liquid in a frustrated anisotropic kagome Heisenberg model
• Exact Parent Hamiltonian for the Quantum Hall States in a Optical Lattice
• Dynamical Time-Reversal Symmetry Breaking and Photo-Induced Chiral Spin Liquids in Frustrated Mott Insulators
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• Non-Abelian Statistics in a Quantum Antiferromagnet
• Momentum polarization: an entanglement measure of topological spin and chiral central charge
• Fractionalized Topological Insulators
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• Topological Entanglement Entropy of Z2 Spin liquids and Lattice Laughlin states
• Projective symmetry group classification of chiral spin liquids
• Fractional quantum Hall states in lattices: Local models and physical implementation
• Band structure engineering of ideal fractional Chern insulators
• Topological liquids and valence cluster states in two-dimensional SU(N) magnets
• Coupled wire construction of chiral spin liquids
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• Chiral Topological Phases from Artificial Neural Networks
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• Computational inverse method for constructing spaces of quantum models from wave functions
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• Parent Hamiltonian for the non-Abelian chiral spin liquid
• Variational Monte Carlo study of chiral spin liquid in the extended Heisenberg model on the Kagome lattice
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Chiral Spin Liquids in Arrays of Spin Chains
• Parent Hamiltonian for the Chiral Spin Liquid
• Fractional (Chern and topological) insulators
• Exceptional Spin Liquids from Couplings to the Environment
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• Non-Abelian Braiding of Lattice Bosons
• Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice
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• Entanglement Entropy as a Portal to the Physics of Quantum Spin Liquids
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• Investigation of the chiral antiferromagnetic Heisenberg model using PEPS
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• Lattice spin models for non-Abelian Chiral Spin Liquids
• Gapless Spin Liquids: Stability and Possible Experimental Relevance
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• Quantum cluster approach to the spinful Haldane-Hubbard model
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• Bosonic fractional quantum Hall states on the torus from conformal field theory
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• Chiral Spin Liquids at Finite Temperature in a Three-Dimensional Kitaev Model
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• Spin Correlations and Topological Entanglement Entropy in a Non-Abelian Spin-1 Spin Liquid
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• Symmetry breaking and competing valence bond states in the star lattice Heisenberg antiferromagnet
• Chiral spin liquid phase in an optical lattice at mean-field level
• Phases and criticality of the triangular lattice SU(N) Hofstadter-Hubbard model
• Parent Hamiltonian Reconstruction via Inverse Quantum Annealing
• Flux-driven quantum spin liquids in kagome optical lattices
• Few-particle dynamics of fractional quantum Hall lattice models
• Chiral Edge States Emerging on Anyon-Net
• Chiral Bosonic Topological Insulator on the Honeycomb Lattice with Anisotropic Interactions
• Chiral spin liquid from magnetic Wannier states
• Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients
• Generation of chiral spin state by quantum simulation
• Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires
• Exact Parent Hamiltonians for All Landau Level States in a Half-flux Lattice
• Confinement and Flux Attachment