Absence of long-range order in a spin-half Heisenberg antiferromagnet on the stacked kagome lattice
arXiv:cond-mat/0406162 · doi:10.1103/PhysRevB.70.184412
Abstract
We study the ground state of a spin-half Heisenberg antiferromagnet on the stacked kagome lattice by using a spin-rotation-invariant Green's-function method. Since the pure two-dimensional kagome antiferromagnet is most likely a magnetically disordered quantum spin liquid, we investigate the question whether the coupling of kagome layers in a stacked three-dimensional system may lead to a magnetically ordered ground state. We present spin-spin correlation functions and correlation lengths. For comparison we apply also linear spin wave theory. Our results provide strong evidence that the system remains short-range ordered independent of the sign and the strength of the interlayer coupling.
References in corpus (29)
- 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
- Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
- Low-energy sector of the S=1/2 Kagome antiferromagnet
- Magnetic order and disorder in the frustrated quantum Heisenberg antiferromagnet in two dimensions
- Spontaneous plaquette dimerization in the Heisenberg model
- Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
- New quantum phase transitions in the two-dimensional J1-J2 model
- Magneto-thermodynamics of the spin-1/2 Kagome antiferromagnet
- Possible Quantum Spin Liquid States on the Triangular and Kagome Lattices
- Field induced transitions in a kagome antiferromagnet
- Magnets with strong geometric frustration
- A Plane of Weakly Coupled Heisenberg Chains: Theoretical Arguments and Numerical Calculations
- Hidden long range order in Heisenberg Kagome antiferromagnets
- Observation of a Transient Magnetization Plateau in a Quantum Antiferromagnet on the Kagome Lattice
- Coupled Cluster Treatment Of An Interpolating Triangle/Kagome Antiferromagnet
- Phase Diagram of the BCC S=1/2 Heisenberg Antiferromagnet with First and Second Neighbor Exchange
- Green's function approach to the magnetic properties of the kagome antiferromagnet
- Spin-1/2 J1-J2 model on the body-centered cubic lattice
- Theory of Photoemission from the Copper Oxide Material
- Theory of magnetic order in the three-dimensional spatially anisotropic Heisenberg model
- Quantum Effects and Broken Symmetries in Frustrated Antiferromagnets
- Magnetic Order-Disorder Transition in the Two-Dimensional Spatially Anisotropic Heisenberg Model at Zero Temperature
- Classical heisenberg antiferromagnet away from the pyrochlore lattice limit: entropic versus energetic selection
- Magnetic order in the quasi-two-dimensional easy-plane XXZ model
- Exact diagonalization Studies of Two-dimensional Frustrated Antiferromagnet Models
- Square-lattice s=1/2 XY model and the Jordan-Wigner fermions: The ground-state and thermodynamic properties
- A hidden Goldstone mechanism in the Kagomé lattice antiferromagnet
- From one to two dimensions in quantum spin systems
Cited by in corpus (29)
- Quantum -- antiferromagnet on the stacked square lattice: Influence of the interlayer coupling on the ground-state magnetic ordering
- First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
- The Heisenberg antiferromagnet on the kagome lattice with arbitrary spin: A high-order coupled cluster treatment
- Thermodynamics of a one-dimensional frustrated spin-1/2 Heisenberg ferromagnet
- Weyl magnons in noncoplanar stacked kagome antiferromagnets
- The spin-half Heisenberg antiferromagnet on two Archimedian lattices: From the bounce lattice to the maple-leaf lattice and beyond
- Thermodynamics of Heisenberg ferromagnets with arbitrary spin in a magnetic field
- Thermodynamics of a two-dimensional frustrated spin-1/2 Heisenberg ferromagnet
- Thermodynamics of S>=1 ferromagnetic Heisenberg chains with uniaxial single-ion anisotropy
- 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
- Thermodynamics of the two-dimensional frustrated J1-J2 Heisenberg ferromagnet in the collinear stripe regime: Susceptibility and correlation length
- Frustrated Quantum Antiferromagnets: Application of High-Order Coupled Cluster Method
- Thermodynamics of the frustrated - Heisenberg ferromagnet on the body-centered cubic lattice with arbitrary spin
- Hidden spin liquid in an antiferromagnet: Applications to FeCrAs
- The route to magnetic order in the spin- kagome Heisenberg antiferromagnet: The role of interlayer coupling
- Thermodynamics of the frustrated one-dimensional spin-1/2 Heisenberg ferromagnet in a magnetic field
- Thermodynamics of the kagome-lattice Heisenberg antiferromagnet with arbitrary spin
- Thermodynamics of frustrated ferromagnetic spin- Heisenberg chains: The role of inter-chain coupling
- Thermodynamics of the pyrochlore Heisenberg ferromagnet with arbitrary spin
- Role of Frustration and Dimensionality in the Hubbard Model on the Stacked Square Lattice: Variational Cluster Approach
- Intrinsic peculiarities of real material realizations of a spin-1/2 kagome lattice
- Spin excitations and thermodynamics of the antiferromagnetic Heisenberg model on the layered honeycomb lattice
- Thermodynamics of the frustrated ferromagnetic spin-1/2 Heisenberg chain
- Absence of long-range order in a three-dimensional stacked Ising antiferromagnet on kagome lattice
- Effects of exchange distortions in the magnetic Kagome lattice