Green's function approach to the magnetic properties of the kagome antiferromagnet

Abstract

The $S=1/2$ Heisenberg antiferromagnet is studied on the kagomé lattice by using a Green's function method based on an appropriate decoupling of the equations of motion. Thermodynamic properties as well as spin-spin correlation functions are obtained and characterize this system as a two-dimensional quantum spin liquid. Spin-spin correlation functions decay exponentially with distance down to low temperature and the calculated missing entropy at T=0 is found to be $0.46\ln 2$. Within the present scheme, the specific heat exhibits a single peak structure and a $T^2$ dependence at low temperature.

arXiv comment6 (two-column revtex4) pages, 5 ps figures. Submitted to Phys. Rev. B

References in corpus (9)

• Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid
• First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis
• Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagome lattice
• Low-energy sector of the S=1/2 Kagome antiferromagnet
• Spin-1/2 Heisenberg-Antiferromagnet on the Kagome Lattice: High Temperature Expansion and Exact Diagonalisation Studies
• Magneto-thermodynamics of the spin-1/2 Kagome antiferromagnet
• Specific heat and high-temperature series of lattice models: interpolation scheme and examples on quantum spin systems in one and two dimensions
• The Kagome Antiferromagnet with Defects: Satisfaction, Frustration, and Spin Folding in a Random Spin System

Cited by in corpus (32)

• The magnetic groundstate of an experimental $S=1/2$ kagomé antiferromagnet
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Quantum $J_1$--$J_2$ antiferromagnet on the stacked square lattice: Influence of the interlayer coupling on the ground-state magnetic ordering
• Magnetism of the N=42 kagome lattice antiferromagnet
• The Heisenberg antiferromagnet on the kagome lattice with arbitrary spin: A high-order coupled cluster treatment
• Tenth-order high-temperature expansion for the susceptibility and the specific heat of spin-s Heisenberg models with arbitrary exchange patterns: Application to pyrochlore and kagome magnets
• Specific heat of the S=1/2 Heisenberg model on the kagome lattice: high-temperature series expansion analysis
• Quantum dimer model with extensive ground-state entropy on the kagome lattice
• Thermodynamics of a one-dimensional frustrated spin-1/2 Heisenberg ferromagnet
• Thermodynamics of a two-dimensional frustrated spin-1/2 Heisenberg ferromagnet
• How to detect weak emergent broken-symmetries of the Kagome antiferromagnet from Raman spectroscopy
• Absence of long-range order in a spin-half Heisenberg antiferromagnet on the stacked kagome lattice
• Spin-1/2 Heisenberg antiferromagnet on an anisotropic kagome lattice
• Thermodynamics of layered Heisenberg magnets with arbitrary spin
• Green's function theory of quasi-two-dimensional spin-half Heisenberg ferromagnets: stacked square versus stacked kagomé lattice
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Thermodynamics of the one-dimensional frustrated Heisenberg ferromagnet with arbitrary spin
• Frustrated Magnetism of the Maple-Leaf-Lattice Antiferromagnet MgMn${}_3$O${}_7$$\cdot$3H${}_2$O
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Thermodynamics of the two-dimensional frustrated J1-J2 Heisenberg ferromagnet in the collinear stripe regime: Susceptibility and correlation length
• Thermodynamics of the frustrated $J_1$-$J_2$ Heisenberg ferromagnet on the body-centered cubic lattice with arbitrary spin
• Thermodynamics of the frustrated one-dimensional spin-1/2 Heisenberg ferromagnet in a magnetic field
• The route to magnetic order in the spin-$1/2$ kagome Heisenberg antiferromagnet: The role of interlayer coupling
• Thermodynamics of the kagome-lattice Heisenberg antiferromagnet with arbitrary spin $S$
• Thermodynamics of the pyrochlore Heisenberg ferromagnet with arbitrary spin $S$
• Thermodynamics of frustrated ferromagnetic spin-$1/2$ Heisenberg chains: The role of inter-chain coupling
• Melting of magnetization plateaus for kagome and square-kagome lattice antiferromagnets
• Spin excitations and thermodynamics of the antiferromagnetic Heisenberg model on the layered honeycomb lattice
• Spin-half Heisenberg antiferromagnet on a symmetric sawtooth chain: Rotation-invariant Green's functions and high-temperature series
• Spin liquid mediated RKKY interaction
• Quantum Heisenberg model on a sawtooth-chain lattice: Rotation-invariant Green's function method
• Static and Dynamical Spin Correlations in the Kitaev Model at Finite Temperatures via Green's Function Equation of Motion