Kagome chiral spin liquid as a gauged U(1) symmetry protected topological phase

Abstract

While the existence of a chiral spin liquid (CSL) on a class of spin-1/2 kagome antiferromagnets is by now well-established numerically, a controlled theoretical path from the lattice model leading to a low energy topological field theory is still lacking. This we provide via an explicit construction, starting from reformulating a microscopic model for a CSL as a lattice gauge theory, and deriving the low-energy form of its continuum limit. A crucial ingredient is the realisation that the bosonic spinons of the gauge theory exhibit a $U(1)$ symmetry-protected topological (SPT) phase, which upon promoting its $U(1)$ global symmetry to a local gauge structure ("gauging") yields the CSL. We suggest that such an explicit lattice-based construction involving gauging of an SPT phase can be applied more generally to understand topological spin liquids.

5+3 pages, 3+4 figures

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Cited by in corpus (28)

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• Projective symmetry group classification of chiral spin liquids
• Continuous easy-plane deconfined phase transition on the kagome lattice
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Field-induced QCD${}_3$-Chern-Simons quantum criticalities in Kitaev materials
• Detecting a $Z_2$ topologically ordered phase from unbiased infinite projected entangled-pair state simulations
• Spontaneous breaking of Lorentz symmetry in $(2+\epsilon )$-dimensional QED
• Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
• Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states
• Reentrance of disorder in the anisotropic shuriken Ising model
• Bosonic integer quantum Hall effect as topological pumping
• Determining non-Abelian topological order from infinite projected entangled pair states
• Chiral Broken Symmetry Descendants of the Kagomé Lattice Chiral Spin Liquid
• Determining topological order from infinite projected entangled pair states
• Field-selective classical spin liquid and magnetization plateaus on kagome lattice
• Classification of symmetry-enriched topological quantum spin liquids
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Floquet Flux Attachment in Cold Atomic Systems
• Quantum Thermal Hall effect of chiral spinons on a Kagome strip
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Thermal Hall response of an abelian chiral spin liquid at finite temperatures
• Continuous order-to-order quantum phase transitions from fixed-point annihilation
• Effective Field Theory of Chiral Spin Liquid between Ordered Phases in Kagomé Antiferromagnet
• Chiral spin liquid from magnetic Wannier states
• Variational methods for characterizing matrix product operator symmetries
• Emergent Symmetry-Protected Topological Phases via Polyakov Confinement in Quantum Spin Systems