Convergent expansions for properties of the Heisenberg model for CaV${}_4$O${}_9$

Abstract

We have carried out a wide range of calculations for the $S=1/2$ Heisenberg model with nearest- and second-neighbor interactions on a two-dimensional lattice which describes the geometry of the vanadium ions in the spin-gap system CaV${}_4$O${}_9$. The methods used were convergent high-order perturbation expansions (``Ising'' and ``Plaquette'' expansions at $T=0$, as well as high-temperature expansions) for quantities such as the uniform susceptibility, sublattice magnetization, and triplet elementary excitation spectrum. Comparison with the data for CaV${}_4$O${}_9$ indicates that its magnetic properties are well described by nearest-neighbor exchange of about 200K in conjunction with second-neighbor exchange of about 100K.

Uses REVTEX macros. Four pages in two-column format, five postscript figures. Files packaged using uufiles

References in corpus (4)

• Large N expansion for frustrated and doped quantum antiferromagnets
• Plaquette Resonating-Valence-Bond Ground State of CaV${}_4$O${}_9$
• Series Expansions for Excited States of Quantum Lattice Models
• Spin Gap in Two-Dimensional Heisenberg Model for CaV${}_4$O${}_9$

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• Frustrated Heisenberg antiferromagnet on a pyrochlore lattice
• The antiferromagnetic spin 1/2 chain with competing dimers and plaquettes: Numerical versus exact results
• Ab Initio Calculation of Spin Gap Behavior in CaV4O9
• Spin dynamics of a tetrahedral cluster magnet
• High-Order Coupled Cluster Method (CCM) Calculations for Quantum Magnets with Valence-Bond Ground States
• Exact ground and excited states of frustrated antiferromagnets on the CaV_4O_9 lattice
• Charge Density Waves on a Half-Filled Decorated Honeycomb Lattice
• Quantum Phase Transitions in Two-Dimensional Spin Systems with Ladder, Plaquette and Mixed-Spin Structures
• Magnetic correlations and pairing in the 1/5-depleted square lattice Hubbard model
• The Heisenberg model on the 1/5-depleted square lattice and the CaV4O9 compound
• Quantum phase transitions in the Triangular-lattice Bilayer Heisenberg Model
• Strong-coupling Expansions at Finite Temperatures: Application to Quantum Disordered and Quantum Critical Phases
• Meta-Plaquette Expansion for the Triplet Excitation Spectrum in CaV${}_4$O${}_9$
• Magnetic Susceptibility for $Ca{V}_4{O}_9$
• Orbital Order Effect of Two-Dimensional Spin Gap System for CaV4O9
• Projective symmetry group classification of Abrikosov fermion mean-field ansätze on the square-octagon lattice
• Magnetic phase diagram and Mott transition of the half-filled 1/5-depleted Hubbard model with frustration
• Magnetic Order-Disorder Transitions on a 1/3 - Depleted Square Lattice
• Magnetic field induced topological nodal-lines in triplet excitations of frustrated antiferromagnet CaV${}_4$O${}_9$
• Almost Non-Magnetic Ground State of the V4+ Ion: The case of BaVS3