Exact ground and excited states of frustrated antiferromagnets on the CaV_4O_9 lattice

Abstract

The experimental observation of a spin-gap in the antiferromagnetic spin-1/2 compound $Ca{V}_4{O}_9$ has been attributed to the formation of a plaquette resonating-valence-bond (PRVB) state in the underlying 1/5-depleted square lattice. We construct a spin-1/2 model on the 1/5-depleted lattice for which the PRVB state can be shown to be the exact ground state in a particular parameter regime. In a subspace of this parameter regime, the first excited state can be calculated exactly. In a different parameter regime, the dimer state is shown to be the exact ground state.

13 pages, LaTeX, 4 figures, to appear in Phys. Rev. B

References in corpus (7)

• Phase diagram of depleted Heisenberg model for CaV4O9
• Plaquette Resonating-Valence-Bond Ground State of CaV${}_4$O${}_9$
• Spin Gap in Two-Dimensional Heisenberg Model for CaV${}_4$O${}_9$
• Origin of spin-gap in CaV${}_4$O${}_9$: effect of frustration and lattice distortion
• Convergent expansions for properties of the Heisenberg model for CaV${}_4$O${}_9$
• Spin-Peierls states of quantum antiferromagnets on the $Ca{V}_4{O}_9$ lattice
• Spin Gap of Two-Dimensional Antiferromagnet Representing CaV${}_4$O${}_9$

Cited by in corpus (13)

• Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• Macroscopic entanglement jumps in model spin systems
• The antiferromagnetic spin 1/2 chain with competing dimers and plaquettes: Numerical versus exact results
• Ab Initio Calculation of Spin Gap Behavior in CaV4O9
• Single-orbital realization of high-temperature $s^{\pm }$ superconductivity in the square-octagon lattice
• Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices
• Magnetization of coupled spin clusters in Ladder Geometry
• Magnetic field induced topological nodal-lines in triplet excitations of frustrated antiferromagnet CaV${}_4$O${}_9$
• Topological magnons in ferromagnetic Kitaev-Heisenberg model on CaVO lattice
• Exact ground state and kink-like excitations of a two dimensional Heisenberg antiferromagnet
• Tree-Graph Based Construction of Quantum Spin Models with Exact Ground State
• Topological phases of monolayer and bilayer depleted Lieb lattices