Gapless chiral spin liquid from coupled chains on the kagome lattice

Abstract

Using a perturbative renormalization group approach, we show that the extended ($J_1$-$J_2$-$J_d$) Heisenberg model on the kagome lattice with a staggered chiral interaction ($J_{\chi }$) can exhibit a gapless chiral quantum spin liquid phase. Within a coupled-chains construction, this phase can be understood as a chiral sliding Luttinger liquid with algebraic decay of spin correlations along the chain directions. We calculate the low-energy properties of this gapless chiral spin liquid using the effective field theory and show that they are compatible with the predictions from parton mean-field theories with symmetry-protected line Fermi surfaces. These results may be relevant to the state observed in the kapellasite material.

arXiv comment28 pages, 5 figures

References in corpus (72)

• Anyons in an exactly solved model and beyond
• Entanglement Entropy and Quantum Field Theory
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Correlated quantum phenomena in the strong spin-orbit regime
• Quantum Orders and Symmetric Spin Liquids
• On Geometric Entropy
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Theory of Thermal Hall Effect in Quantum Magnets
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Violation of the entropic area law for Fermions
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Properties of an algebraic spin liquid on the kagome lattice
• The Fractional Quantum Hall effect in an array of quantum wires
• Rotational motion of magnon and thermal Hall effect
• Unusual ordered phases of highly frustrated magnets: a review
• From Luttinger liquid to non-Abelian quantum Hall states
• Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
• Dirac, Anderson, and Goldstone on the Kagome
• Chiral spin liquid in a frustrated anisotropic kagome Heisenberg model
• Entanglement Entropy and the Fermi Surface
• The kagome antiferromagnet: a chiral topological spin liquid ?
• Lattice symmetries and regular states in classical frustrated antiferromagnets
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Ordering in spatially anisotropic triangular antiferromagnets
• Sliding Luttinger liquid phases
• Spin Bose-Metal phase in a spin-1/2 model with ring exchange on a two-leg triangular strip
• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
• Projective symmetry group classification of chiral spin liquids
• Paramagnetism in the kagome compounds (Zn,Mg,Cd)Cu${}_3$(OH)${}_6$Cl${}_2$
• Coupled wire construction of chiral spin liquids
• Spinons in more than one dimension: Resonance Valence Bond state stabilized by frustration
• Nature of chiral spin liquids on the kagome lattice
• Gapless chiral spin liquid in a kagome Heisenberg model
• Laughlin spin liquid states on lattices obtained from conformal field theory
• Modified kagome physics in the natural spin-1/2 kagome lattice systems - kapellasite Cu3Zn(OH)6Cl2 and haydeeite Cu3Mg(OH)6Cl2
• Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
• Sliding Phases via Magnetic Fields
• 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
• Non-Abelian topological insulators from an array of quantum wires
• Chiral Spin Liquids in Arrays of Spin Chains
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• Exact Chiral Spin Liquid with Stable Spin Fermi Surface on the Kagome Lattice
• Chiral spin liquid on kagome antiferromagnet induced by Dzyaloshinskii-Moriya interaction
• Spontaneous formation of a non-uniform chiral spin liquid in moat-band lattices
• Symmetry Fractionalization in Two Dimensional Topological Phases
• SU(2)-invariant spin liquids on the triangular lattice with spinful Majorana excitations
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
• Chiral spin liquids on the kagome Lattice
• Exchange energies of Kapellasite from high-temperature series analysis of the kagome lattice J1-J2-Jd-Heisenberg model
• Evidence for a spinon Fermi surface in the triangular S=1 quantum spin liquid Ba${}_3$NiSb${}_2$O${}_9$
• Spinons in a Crossed-Chains Model of a 2D Spin Liquid
• Transport anomaly in the low energy regime of spin chains
• Fermionic theory for quantum antiferromagnets with spin S > 1/2
• Lattice spin models for non-Abelian Chiral Spin Liquids
• Chiral and Critical Spin Liquids in Spin-$1/2$ Kagome Antiferromagnet
• Time reversal symmetry broken fractional topological phases at zero magnetic field
• Spin liquid versus dimer phases in an anisotropic J1-J2 frustrated square antiferromagnet
• SU(2)-invariant Majorana spin liquid with stable parton Fermi surfaces in an exactly solvable model
• Emergent quasi-one-dimensionality in a kagomé magnet: A simple route to complexity
• Physical principles underlying the quantum Hall effect
• Spin structure factors of chiral quantum spin liquids on the kagome lattice
• Two dimensional spin liquids with ${\mathbb{Z}}_2$ topological order in an array of quantum wires
• Space group symmetry fractionalization in a chiral kagome Heisenberg antiferromagnet
• Effective field theory and tunneling currents in the fractional quantum Hall effect
• Gapped and gapless spin liquid phases on the Kagome lattice from chiral three-spin interactions

Cited by in corpus (18)

• Coupled-wire constructions: a Luttinger liquid approach to topology
• Fermionization of Bosons in a Flat Band
• Emergent Fermi surface in a triangular-lattice SU(4) quantum antiferromagnet
• Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality
• Spin chain network construction of chiral spin liquids
• Symmetry-protected non-Fermi liquids, Kagome spin liquids, and the chiral Kondo lattice model
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Network construction of non-Abelian chiral spin liquids
• Chiral Gapless Spin Liquid in Hyperbolic Space
• Model of spin liquids with and without time-reversal symmetry
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders
• Anisotropic moiré band flattening in twisted bilayers of M-valley MXenes
• Majorana Fermi surface state in a network of quantum spin chains
• Topological ground state degeneracy of the two-channel Kondo lattice
• Quantum criticality and confinement in weak Mott insulators
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice