Trimerized ground state of the spin-1 Heisenberg antiferromagnet on the kagome lattice

Abstract

We study the phase diagram of the spin-1 quantum bilinear-biquadratic antiferromagnet on the kagome lattice using exact diagonalization and the density matrix renormalization group algorithm. The SU(3)-symmetric point of this model Hamiltonian is a spontaneously trimerized state whose qualitative nature persists even at the Heisenberg point, a finding that contrasts previous proposals. We report the ground state energy per site of the Heisenberg model to be -1.410(2) and establish the presence of a spin gap.

4+ pages, 5 figures. Referee comments addressed, modified title reflects findings

References in corpus (15)

• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Identifying Topological Order by Entanglement Entropy
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Spin waves in the Frustrated Kagome Lattice Antiferromagnet KFe3(OH)6(SO4)2
• Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
• Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
• Simplex solid states of SU(N) quantum antiferromagnets
• Simplex valence-bond crystal in the spin-1 kagome Heisenberg antiferromagnet
• Nematic and supernematic phases in Kagome quantum antiferromagnets under a magnetic field
• Topology and Criticality in Resonating Affleck-Kennedy-Lieb-Tasaki loop Spin Liquid States
• Global phase diagram of the spin-1 antiferromagnet with uniaxial anisotropy on the kagome lattice
• Static impurities in the S=3/2 kagome lattice
• Quantum order by disorder in a spin-one frustrated magnet on the kagome lattice

Cited by in corpus (34)

• Spin-S Kagome quantum antiferromagnets in a field with tensor networks
• The mother of all states of the kagome quantum antiferromagnet
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• The Interplay Between Lattice Topology, Frustration, and Spin Quantum Number in Quantum Antiferromagnets on Archimedean Lattices
• Ground-state properties of the triangular-lattice Heisenberg antiferromagnet with arbitrary spin quantum number $s$
• Altermagnetic Ground State in Distorted Kagome Metal CsCr${}_3$Sb${}_5$
• Spin--lattice coupling and the emergence of the trimerized phase in the $S=1$ Kagome antiferromagnet Na${}_2$Ti${}_3$Cl${}_8$
• The spin-1/2 Kagome XXZ model in a field: competition between lattice nematic and solid orders
• Emergent spin-1 trimerized valence bond crystal in the spin-1/2 Heisenberg model on the star lattice
• Non-Abelian Chiral Spin Liquid on the Kagome Lattice
• Non-Symmetry-Breaking Ground State of the S=1 Heisenberg Model on the Kagome lattice
• Kagome model for a ${\mathbb{Z}}_2$ quantum spin liquid
• Spin ordered ground state and thermodynamic behaviors of the spin-3/2 kagome Heisenberg antiferromagnet
• Hexagon-singlet solid ansatz for the spin-1 kagome antiferromagnet
• Heisenberg antiferromagnet on the Husimi lattice
• The route to magnetic order in the spin-$1/2$ kagome Heisenberg antiferromagnet: The role of interlayer coupling
• Plaquette-triplon analysis of magnetic disorder and order in a trimerized spin-1 Kagomé antiferromagnet
• Thermodynamics of the kagome-lattice Heisenberg antiferromagnet with arbitrary spin $S$
• Competeing orders in spin-1 and spin-3/2 XXZ Kagome antiferromagnets: A series expansion study
• Effective spin-1 breathing kagome Hamiltonian induced by the exchange hierarchy in the maple leaf mineral bluebellite
• Multimagnon dynamics and thermalization in the $S=1$ easy-axis ferromagnetic chain
• Non-perturbative linked-cluster expansions for the trimerized ground state of the spin-one Kagome Heisenberg model
• Quantum half-orphans in kagome antiferromagnets
• Density Matrix Renormalization Group Study of Nematicity in Two Dimensions: Application to a Spin-$1$ Bilinear-Biquadratic Model on the Square Lattice
• Spontaneous dimerization and moment formation in the Hida model of spin-1 kagomé antiferromagnet
• Non-perturbative linked-cluster expansions in long-range ordered quantum systems
• Absence of long-range order in a general spin-$S$ kagome lattice Ising antiferromagnet
• Global quantum phase diagram and non-Abelian chiral spin liquid in a spin-3/2 square lattice antiferromagnet
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model
• Unnecessary quantum criticality in $SU(3)$ kagome magnets
• One-third magnetization plateau in a spin-1 kagome magnet BaNi${}_3$(AsO${}_4$)${}_2$(OH)${}_2$
• Response to comment on "Spin-lattice coupling and the emergence of the trimerized phase in the $S=1$ kagome antiferromagnet Na${}_2$Ti${}_3$Cl${}_8$", Phys. Rev. Lett. 124, 167203 (2020)
• Emergence of magnetic long-range order in kagome quantum antiferromagnets
• Fragility of the nematic spin liquid induced by diagonal couplings in the square-lattice SU(3) model