From kagome strip to kagome lattice: Realizations of frustrated S=1/2 antiferromagnets in Ti(III) fluorides

Abstract

We investigate the connection between highly frustrated kagome based Hamiltonians and a recently synthesized family of materials containing Ti3+ S=1/2 ions. Employing a combination of all electron density functional theory and numerical diagonalization techniques, we establish the Heisenberg Hamiltonians for the distorted kagome antiferromagnets Rb2NaTi3F12, Cs2NaTi3F12 and Cs2KTi3F12. We determine magnetization curves in excellent agreement with experimental observations. Our calculations successfully clarify the relationship between the experimental observations and the magnetization-plateau behavior at 1/3 height of the saturation and predict characteristic behaviors under fields that are higher than the experimentally measured region. We demonstrate that the studied Ti(III) family of materials interpolates between kagome strip and kagome lattice.

6 pages, 5 figures

References in corpus (11)

• Vesignieite BaCu3V2O8(OH)2 as a Candidate Spin-1/2 Kagome Antiferromagnet
• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet
• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet
• Collapse of Ferrimagnetism in Two-Dimensional Heisenberg Antiferromagnet due to Frustration
• Long-Range Order of the Three-Sublattice Structure in the S = 1 Heisenberg Antiferromagnet on a Spatially Anisotropic Triangular Lattice
• The sawtooth chain: From Heisenberg spins to Hubbard electrons
• Magnetization Process of the Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with Next-Nearest-Neighbor Interactions -- Plateau or Nonplateau
• Magnetization plateaus in the spin-1/2 antiferromagnetic Heisenberg model on a kagome-strip chain

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• Synthesis and Anisotropic Magnetic Properties of LiCrTe${}_2$ Single Crystals with a Triangular-Lattice Antiferromagnetic Structure
• Efficient Soft-Chemical Synthesis of Large van-der-Waals Crystals of the Room-Temperature Ferromagnet 1T-CrTe2
• Importance of Fermi surface and magnetic interactions for the superconducting dome in electron doped FeSe intercalates
• Sawtooth lattice multiferroic BeCr${}_2$O${}_4$: Non-collinear magnetic structure and multiple magnetic transitions