Magnetization Process of Kagome-Lattice Heisenberg Antiferromagnet

Abstract

The magnetization process of the isotropic Heisenberg antiferromagnet on the kagome lattice is studied. Data obtained from the numerical-diagonalization method are reexamined from the viewpoint of the derivative of the magnetization with respect to the magnetic field. We find that the behavior of the derivative at approximately one-third of the height of the magnetization saturation is markedly different from that for the cases of typical magnetization plateaux. The magnetization process of the kagome-lattice antiferromagnet reveals a new phenomenon, which we call the "magnetization ramp".

arXiv comment4 pages, 5figures, accepted in J. Phys. Soc. Jpn.

References in corpus (16)

• 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
• Vesignieite BaCu3V2O8(OH)2 as a Candidate Spin-1/2 Kagome Antiferromagnet
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Quantum Kagome antiferromagnet ZnCu3(OH)6Cl2
• Exact low-temperature behavior of kagome antiferromagnet at high fields
• Magnetization Process of the S=1 and 1/2 Uniform and Distorted Kagome Heisenberg Antiferromagnets
• Low energy excitations of the kagome antiferromagnet and the spin gap issue
• Mott transition in Kagomé lattice Hubbard model
• Phase Diagram and Spin Dynamics in Volborthite with a Distorted Kagome Lattice
• Magnetic phase diagram of the S=1/2 antiferromagnetic zigzag spin chain in the strongly frustrated region: cusp and plateau
• Magnetization "Steps" on a Kagome Lattice in Volborthite
• From classical to quantum Kagome antiferromagnet in a magnetic field
• Critical exponent in the magnetization curve of quantum spin chains
• Magnetic correlations around the Mott transition in the Kagomé lattice Hubbard model

Cited by in corpus (33)

• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• 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 Magnetization Plateau in Spin-1 Triangular-Lattice Antiferromagnet Ba${}_3$NiSb${}_2$O${}_9$
• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• 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
• Collapse of Ferrimagnetism in Two-Dimensional Heisenberg Antiferromagnet due to Frustration
• Magnetization Process of the S=1/2 Heisenberg Antiferromagnet on the Cairo Pentagon Lattice
• Spin-Flop Phenomenon of Two-Dimensional Frustrated Antiferromagnets without Anisotropy in Spin Space
• Kinetic frustration induced supersolid in the $S=1/2$ kagome lattice antiferromagnet in a magnetic field
• Method for Estimating Spin-Spin Interactions from Magnetization Curves
• Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
• Magnetization Process of the Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with Next-Nearest-Neighbor Interactions -- Plateau or Nonplateau
• Ferrimagnetism of the Heisenberg Models on the Quasi-One-Dimensional Kagome Strip Lattices
• High-field Phase Diagram and Spin Structure of Volborthite Cu3V2O7(OH)2/2H2O
• Magnetization plateaus in the spin-1/2 antiferromagnetic Heisenberg model on a kagome-strip chain
• Asymmetric melting of one-third plateau in kagome quantum antiferromagnets
• Instability of a ferrimagnetic state of a frustrated S=1/2 Heisenberg antiferromagnet in two dimensions
• Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Nontrivial ferrimagnetism of the Heisenberg model on the Union Jack strip lattice
• Machine learning as an improved estimator for magnetization curve and spin gap
• Valence Bond Crystal Ground State of the 1/9 Magnetization Plateau in the Spin-1/2 Kagome Lattice
• Ising versus Potts criticality in a low-temperature magnetothermodynamics of a frustrated spin-1/2 Heisenberg triangular bilayer
• Field-selective classical spin liquid and magnetization plateaus on kagome lattice
• Non-perturbative approach to quantum liquid ground states on geometrically frustrated Heisenberg antiferromagnets
• Gapless Spin Excitations in the $S=1/2$ Kagome- and Triangular-Lattice Heisenberg Antiferromagnets
• Impact of Dzyaloshinsky-Moriya Interactions and Tilts of the g Tensors on the Magnetization Process of a Spherical Kagome Cluster in {W72V30}
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Spinon band flattening by its emergent gauge field in quantum kagome ice
• Effects of bond-randomness and Dzyaloshinskii-Moriya interactions on the specific heat at low temperatures of a spherical kagomé cluster in {W${}_{72}$V${}_{30}$}