Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice

Abstract

We perform a Gutzwiller projected wavefunction study for the spin-1/2 Heisenberg model on the Kagome lattice to compare energies of several spin-liquid states. The result indicates that a U(1)-Dirac spin-liquid state has the lowest energy. Furthermore, even without variational parameters, the energy turns out to be very close to that found by exact diagonalization. We show that such a U(1)-Dirac state represents a quantum phase whose low energy physics is governed by four flavors of two-component Dirac fermions coupled to a U(1) gauge field. These results are discussed in the context of recent experiments on ZnCu${}_3$(OH)${}_6$Cl${}_2$.

5 pages, 3 figures

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Cited by in corpus (439)

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• Emergent spin-gapped magnetization plateaus in a spin-1/2 perfect kagome antiferromagnet
• Instabilities of Spin-Liquid States in a Quantum Kagome Antiferromagnet
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• Variational study of the ground state and spin dynamics of the spin-$\frac{1}{2}$ Kagome antiferromagnetic Heisenberg model and its implication on Hebertsmithite ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Classification of spin liquids on the square lattice with strong spin-orbit coupling
• Transformer Wave Function for two dimensional frustrated magnets: emergence of a Spin-Liquid Phase in the Shastry-Sutherland Model
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Density matrix renormalization group boosted by Gutzwiller projected wave functions
• Doping quantum spin liquids on the Kagome lattice
• Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• Conformal bootstrap bounds for the $U(1)$ Dirac spin liquid and $N=7$ Stiefel liquid
• Spin structure factors of chiral quantum spin liquids on the kagome lattice
• Gapless triangular-lattice spin-liquid candidate in PrZnAl${}_{11}$O${}_{19}$
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• Quantum dimer model for the spin-1/2 kagome Z2 spin liquid
• Putative spin liquid in the triangle-based iridate Ba${}_3$IrTi${}_2$O${}_9$
• Spin--lattice coupling and the emergence of the trimerized phase in the $S=1$ Kagome antiferromagnet Na${}_2$Ti${}_3$Cl${}_8$
• Unconventional Magnetic Oscillations in Kagome Mott Insulators
• Identification of Strongly Correlated Spin Liquid in Herbertsmithite
• High temperature series expansion study of the Heisenberg antiferromagnet on the hyperkagome lattice: Comparison with Na${}_4$Ir${}_3$O${}_8$
• Gutzwiller Projected wavefunctions in the fermonic theory of S=1 spin chains
• $\mu$SR Insight into the Impurity Problem in Quantum Kagome Antiferromagnets
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• Stability of the spin-$1/2$ kagome ground state with breathing anisotropy
• Flat-Band Enhanced Antiferromagnetic Fluctuations and Superconductivity in Pressurized CsCr${}_3$Sb${}_5$
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• Studies of non-magnetic impurities in the spin-1/2 Kagome Antiferromagnet
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• Diagnosing weakly first-order phase transitions by coupling to order parameters
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• Metal-insulator transition and intermediate phases in the kagome lattice Hubbard model
• Dzyaloshinskii-Moriya interactions in valence bond systems
• Possible superconductivity with Bogoliubov Fermi surface in lightly doped Kagome U(1) spin liquid
• Quantum Spin Liquid State in the Disordered Triangular Lattice Sc2Ga2CuO7
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• Dynamical spin correlations of the kagome antiferromagnet
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
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• Scaling in Dynamic Susceptibility of Herbertsmithite and Heavy-Fermion Metals
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• ${\mathbb{Z}}_2$ gauge theory for valence bond solids on the kagome lattice
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• How correlations change the magnetic structure factor of the kagome Hubbard model
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• Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields
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• Lattice dynamics in the spin-1/2 frustrated kagome compound herbertsmithite
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• Classification of quantum phases for the star-lattice antiferromagnet via a projective symmetry group analysis
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• Possible chiral spin liquid state in the $S=1/2$ kagome Heisenberg model
• Valence bond solid and possible deconfined quantum criticality in an extended kagome lattice Heisenberg antiferromagnet
• Torus Spectroscopy of the Gross-Neveu-Yukawa Quantum Field Theory: Free Dirac versus Chiral Ising Fixed Point
• Ordered Phases of the Anisotropic Kagome Lattice Antiferromagnet in a Field
• Destruction of valence-bond order in a $S=1/2$ sawtooth chain with a Dzyaloshinskii-Moriya term
• Phase diagram of the Cairo pentagonal XXZ spin-1/2 magnet under a magnetic field
• Structure factor of low-energy spin excitations in a S=1/2 kagome antiferromagnet
• Numerical evidence for a chiral spin liquid in the XXZ antiferromagnetic Heisenberg model on the kagome lattice at $m=\frac{2}{3}$ magnetization
• Sc_{2}Ga_{2}CuO_{7}: A possible Quantum spin liquid near the percolation threshold
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• Structures of magnetic excitations in the spin-1/2 kagome-lattice antiferromagnets Cs${}_2$Cu${}_3$SnF${}_{12}$ and Rb${}_2$Cu${}_3$SnF${}_{12}$
• Low-Energy Excitations in Quantum Spin-Liquids Identified by Optical Spectroscopy
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• Asymmetric melting of one-third plateau in kagome quantum antiferromagnets
• Surface field theories of point group symmetry protected topological phases
• Energy density of variational states
• Valence bond phases of herbertsmithite and related copper kagome materials
• Theory of Néel and Valence-Bond-Solid Phases on the Kagome Lattice of Zn-paratacamite
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• Ghost modes and continuum scattering in the dimerized distorted kagome lattice antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Magnetic ground states in kagome YCu${}_3$(OH)${}_6$[(Cl${}_x$Br${}_{1-x}$)${}_{3-y}$(OH)${}_y$]
• Doping on the kagome lattice: A variational Monte-Carlo study of the $t-J$ model
• Sign structures for short-range RVB states on small kagome clusters
• Spin-$\frac{1}{2}$ kagome Heisenberg antiferromagnet with strong breathing anisotropy
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Emergence of the spin polarized domains in the kagome lattice Heisenberg antiferromagnet Zn-barlowite (Zn${}_{0.95}$Cu${}_{0.05}$)Cu${}_3$(OD)${}_6$FBr
• Symmetric spin liquids on the stuffed honeycomb lattice
• Spectrum of conformal gauge theories on a torus
• Kondo physics in the algebraic spin liquid
• High energy spin excitations in the quantum spin liquid candidate Zn-barlowite probed by resonant inelastic x-ray scattering
• Unveiling the physics of the doped phase of the Kagome $t-J$ model
• Gapped $Z_2$ spin liquid in the breathing kagome Heisenberg antiferromagnet
• Mott insulators in moiré transition metal dichalcogenides at fractional fillings: Slave-rotor mean-field theory
• Non-Fermi liquid behavior due to U(1) gauge field in two dimensions
• Dynamic magnetism in the disordered hexagonal double perovskite BaTi${}_{1/2}$Mn${}_{1/2}$O${}_3$
• Emergent Fermi sea in a system of interacting bosons
• Competing emergent Potts orders and possible nematic spin liquids in the Kagome $J_1-J_3$ Heisenberg model
• Chiral Broken Symmetry Descendants of the Kagomé Lattice Chiral Spin Liquid
• Nematicity and fractional magnetization plateaus induced by spin-lattice coupling in the classical kagome-lattice Heisenberg antiferromagnet
• Heat conduction in herbertsmithite: field dependence at the onset of the quantum spin liquid regime
• Unconventional behavior of Dirac fermions in three-dimensional gauge theory
• Role of f-d exchange interaction and Kondo scattering in Nd doped pyrochlore Iridate (Eu1-xNdx)2Ir2O7
• Lanczos steps to improve variational wave functions
• The Kagome Antiferromagnet: A Schwinger-Boson Mean-Field Theory Study
• NMR evidence of spinon localization in kagome antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_{1-x}$(OH)${}_x$]
• Candidate quantum spin liquids on the maple-leaf lattice
• Electronic orders on the kagome lattice at the lower Van Hove filling
• Effects of random potentials in three-dimensional quantum electrodynamics
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Fermionic spin liquid analysis of the paramagnetic state in Volborthite
• Heavy fermion spin liquid in herbertsmithite
• Nuclear relaxation rates in the Herbertsmithite Kagome antiferromagnets ZnCu3(OH)6Cl2
• Resonating dimer-monomer liquid state in a magnetization plateau of a spin-$\frac{1}{2}$ kagome-strip Heisenberg chain
• Emergent QCD${}_3$ Quantum Phase Transitions of Fractional Chern Insulators
• U(1) Dirac quantum spin liquid candidate in triangular-lattice antiferromagnet CeMgAl${}_{11}$O${}_{19}$
• Interplay between Chiral Charge Density Wave and Superconductivity in Kagome Superconductors: A Self-consistent Theoretical Analysis
• Thermodynamic evidence of fermionic behavior in the vicinity of one-ninth plateau in a kagome antiferromagnet
• First-principles study of an organometallic S=1/2 kagome compound
• Inhomogeneous magnetism in the doped kagome lattice of LaCuO2.66
• Non-abelian descendant of abelian duality in a two-dimensional frustrated quantum magnet
• Twisted bilayer U(1) Dirac spin liquids
• A density-wave-like transition in the polycrystalline V3Sb2 sample with bilayer kagome lattice
• U(1)-symmetric Gaussian fermionic projected entangled paired states and their Gutzwiller projection
• Spin dynamics in the Dirac $U(1)$ spin liquid YbZn${}_2$GaO${}_5$
• Spinon quantum spin Hall state in the kagome antiferromagnet with a Dzyaloshinskii-Moriya interaction
• Variational identification of a fractional Chern insulator in an extended Bose-Hubbard model
• Machine learning as an improved estimator for magnetization curve and spin gap
• Hydrodynamics of quantum spin liquids
• The magneto-optical Faraday effect in spin liquid candidates
• Helical superfluid in a frustrated honeycomb Bose-Hubbard model
• Tuning the spin dynamics of kagome systems
• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• Confinement induced by fermion damping in three-dimensional QED
• Spin-phonon interactions on the kagome lattice: Dirac spin liquid versus valence-bond solids
• Kitaev Interactions Through an Extended Superexchange Pathway in the jeff = 1/2 Ru3+ Honeycomb Magnet, RuP3SiO11
• Spin Anisotropy in ZnCu_3(OH)_6Cl_2
• Rapid filling of the spin gap with temperature in the Schwinger-boson mean-field theory of the antiferromagnetic Heisenberg kagome model
• Caution on Gross-Neveu criticality with a single Dirac cone: Violation of locality and its consequence of unexpected finite-temperature transition
• Valence Bond Crystal Ground State of the 1/9 Magnetization Plateau in the Spin-1/2 Kagome Lattice
• Spin Liquid and Superconductivity emerging from Steady States and Measurements
• Piercing the Dirac spin liquid: From a single monopole to chiral states
• Tunable moire spinons in magnetically encapsulated twisted van der Waals quantum spin-liquids
• Tuning of magnetic frustration in $S=1/2$ Kagomé lattices {[Cu${}_3$(CO${}_3$)${}_2$$(bpe{)}_3$](ClO${}_4$)${}_2$}${}_n$ and {[Cu${}_3$(CO${}_3$)${}_2$$(bpy{)}_3$](ClO${}_4$)${}_2$}${}_n$ through rigid and flexible ligands
• Infrared behavior of dynamical fermion mass generation in QED${}_3$
• Magnetic interactions in AB-stacked kagome lattices: magnetic structure, symmetry, and duality
• Matter fields near quantum critical point in (2+1)-dimensional U(1) gauge theory
• Combination of Tensor Network States and Green's function Monte Carlo
• Variational Monte Carlo study of gapless spin liquid in the spin-$1/2$ XXZ antiferromagnetic model on the kagome lattice
• Non-perturbative approach to quantum liquid ground states on geometrically frustrated Heisenberg antiferromagnets
• Family of exactly solvable models with an ultimative quantum paramagnetic ground state
• Quantum spin liquid from electron-phonon coupling
• Fate of non-Fermi liquid behavior in QED${}_3$ at finite chemical potential
• Evolution of magnetic and transport properties in Cu doped pyrochlore iridate Eu2(Ir1-xCux)2O7
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Thermodynamic Properties of Kagome Antiferromagnets with different Perturbations
• Dirac spin liquid as an "unnecessary" quantum critical point on square lattice antiferromagnets
• Charge bond order and s-wave superconductivity in the kagome lattice with electron-phonon coupling and electron-electron interaction
• Gapless Spin Excitations in the $S=1/2$ Kagome- and Triangular-Lattice Heisenberg Antiferromagnets
• Simulating spin systems with Majorana networks
• Discovering Strongly Correlated Quantum Spin Liquid
• Six magnetization plateau phases in a spin-1/2 distorted kagome antiferromagnet: application to ${\mathrm{Y}}_3{\mathrm{Cu}}_9(\mathrm{OH}{)}_{19}{\mathrm{Cl}}_8$
• Signatures of gapless fermionic spinons on a strip of the kagome Heisenberg antiferromagnet
• Destabilization of U(1) Dirac spin-liquids on two dimensional non-bipartite lattices by quenched disorder
• Detection of chiral spin fluctuations driven by frustration in Mott insulators
• Emergence of Frustrated Short-Range Order above Long-Range Order in the $S=1/2$ Kagome Antiferromagnet CaCu${}_3$(OD)${}_6$Cl${}_2\cdot 0.6$D${}_2$O
• Signatures of a gapless quantum spin liquid in the Kitaev material Na${}_3$Co${}_{2-x}$Zn${}_x$SbO${}_6$
• Nature of the 1/3 Magnetization Plateau in Spin-1/2 Kagome Antiferromagnets
• Evidence for a gapless Dirac spin-liquid ground state in a spin-3/2 triangular-lattice antiferromagnet
• Renormalization of fermion velocity in finite temperature QED_{3}
• Fermion bag solutions to some sign problems in four-fermion field theories
• A Promising Method for Strongly Correlated Electrons in Two Dimensions: Gutzwiller-Guided Density Matrix Renormalization Group
• Gapless spinon excitations emerging from a multipolar transverse field in the triangular-lattice Ising antiferromagnet NaTmSe2
• Flux Hamiltonians, Lie Algebras and Root Lattices With Minuscule Decorations
• Finite temperature tensor network algorithm for frustrated two-dimensional quantum materials
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Abelian and non-Abelian quantum spin liquids in a three-component Bose gas on optical Kagome lattices
• Thermal Hall response of an abelian chiral spin liquid at finite temperatures
• Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states
• Transverse Ward-Takahashi Identities and Full Vertices Functions in Different Representation in QED${}_3$
• Magnetic Order in Laser-Irradiated Kagome Antiferromagnets
• Monopoles in Dirac spin liquids and their symmetries from instanton calculus
• Strong relevance of Zinc impurity in the spin-$\frac{1}{2}$ Kagome quantum antiferromagnets: a variational study
• Continuous order-to-order quantum phase transitions from fixed-point annihilation
• Is Herbertsmithite far from an ideal antiferromagnet? Ab-initio answer including in-plane Dzyaloshinskii-Moriya interactions and coupling with extra-plane impurities
• Magnetic field-temperature phase diagram of spin-1/2 triangular lattice antiferromagnet KYbSe${}_2$
• Proximate Tomonaga-Luttinger liquid in a spin-1/2 ferromagnetic XXZ chain compound
• Topological Aspects of Antiferromagnets
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Power-law dynamics in the spin-liquid kagome lattices SrCr8Ga4O19 and ZnCu3(OH)6Cl2
• Effective Field Theory of Chiral Spin Liquid between Ordered Phases in Kagomé Antiferromagnet
• Quantifying the Phase Diagram and Hamiltonian of $S=1/2$ Kagome Antiferromagnets: Bridging Theory and Experiment
• Self-consistent spin-wave analysis of the 1/3 magnetization plateau in the kagome antiferromagnet
• Disorder-induced spin-cluster magnetism in a doped kagome spin liquid candidate
• Effect of Dirac Spinons on ARPES signatures of Herbertsmithe
• Gauge flux generations of weakly magnetized Dirac spin liquid in a kagomé lattice
• Spinon mediation of witness spin dynamics in herbertsmithite
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Using magnetic dynamics to measure the spin gap in a candidate Kitaev material
• Quantum phase diagram of the spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the square-kagome lattice: a tensor network study
• Unnecessary quantum criticality in $SU(3)$ kagome magnets
• Fluctuating magnetism in Zn-doped averievite with well-separated kagome layers
• Fermi-Hubbard model on non-bipartite lattices: flux problem and emergent chirality
• Jordan-Wigner composite-fermion liquids in 2D quantum spin-ice
• Scalable hybrid quantum Monte Carlo simulation of U(1) gauge field coupled to fermions on GPU
• Emergent Symmetry-Protected Topological Phases via Polyakov Confinement in Quantum Spin Systems
• The algebraic spin liquid in the SU(6) Heisenberg model on the kagome lattice
• When Wannier centers jump: Critical points between atomic insulating phases
• Fermionized dual vortex theory for magnetized kagomé spin liquid
• Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions
• Probing Non-Fermi-Liquid Behaviour of Composite Fermi Liquid via Efficient Thermal Simulations
• Spin disorder state induced by Mg${}^{2+}$ doping in a Kitaev material Na${}_3$Co${}_2$SbO${}_6$
• Dynamical Spectral Function of the Kagome Quantum Spin Liquid
• Robust semiclassical magnetization plateau in the kagome lattice
• Anomalies of kagome antiferromagnets on magnetization plateaus
• An integrated theoretical and numerical approach to understand modern experiments on quantum magnetism
• Majorana Diagrammatics for Quantum Spin-1/2 Models
• Quantum spin liquid ground state with the evidence of roton-like excitations at elevated temperatures in the triangular-lattice delafossite YbCuSe${}_2$