From classical to quantum Kagome antiferromagnet in a magnetic field

Abstract

We study the magnetic properties of the Kagome antiferromagnet going from the classical limit to the deep quantum regime of spin 1/2 systems. In all the cases there are special values for the magnetization, 1/3 in particular, in which a singular behavior is observed to occur in both the classical and quantum cases. We show clear evidence for a magnetization plateau for the spin 1/2 case in a wide range of XXZ anisotropies and for the occurrence of quantum order by disorder effects.

arXiv commentREVTeX, 7 pages, 7 figures. v2 contains several additions. New discussion on classical plateau added

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Cited by in corpus (26)

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• Exact low-temperature behavior of kagome antiferromagnet at high fields
• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• The Quantum Compass Model on the Square Lattice
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
• Critical magnetization behaviors of the triangular and Kagome lattice quantum antiferromagnets
• Quantum kagome antiferromagnet in a magnetic field: Low-lying non-magnetic excitations versus valence-bond crystal order
• Static impurities in the kagome lattice: dimer freezing and mutual repulsion
• Magnetization Process of Kagome-Lattice Heisenberg Antiferromagnet
• Observation of a Transient Magnetization Plateau in a Quantum Antiferromagnet on the Kagome Lattice
• Exact solution of the geometrically frustrated spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice
• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• Easy-Axis Kagomé Antiferromagnet: Local-Probe Study of Nd${}_3$Ga${}_5$SiO${}_{14}$
• Magnetization Jump in the Magnetization Process of the spin-1/2 Heisenberg Antiferromagnet on a Distorted Square-Kagome Lattice
• Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet
• Classical Spin Liquid State in the $S=\frac{5}{2}$ Heisenberg Kagomé Antiferromagnet Li${}_9$Fe${}_3$(P${}_2$O${}_7$)${}_3$(PO${}_4$)${}_2$
• Semiclassical degeneracies and ordering for highly frustrated magnets in a field
• Ferrimagnetism of the Heisenberg Models on the Quasi-One-Dimensional Kagome Strip Lattices
• Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
• Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
• Diagnosing order by disorder in quantum spin systems
• Ground state and low-lying excitations of the spin-1/2 XXZ model on the kagome lattice at magnetization 1/3
• Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions
• Magnetization curve of the kagome-strip-lattice antiferromagnet