2D XXZ Model ground state Properties using an analytic Lanczos Expansion

Details 2D XXZ Model ground state Properties using an analytic Lanczos Expansion 2D XXZ Model ground state Properties using an analytic Lanczos Expansion

1997-02-03

arxiv.org/abs/cond-mat/9702017v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, Latex + RevTex, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.55.10412

We develop the formalism for calculating arbitrary expectation values for any extensive lattice Hamiltonian system using a new analytic Lanczos expansion, or plaquette expansion, and a recently proved exact theorem for ground state energies. The ground state energy, staggered magnetisation and the excited state gap of the 2D anisotropic antiferromagnetic Heisenberg Model are then calculated using this expansion for a range of anisotropy parameters and compared to other moment based techniques, such as the "t"-expansion, and spin-wave theory and series expansion methods. We find that far from the isotropic point all moment methods give essentially very similar results, but near the isotropic point the plaquette expansion is generally better than the others.

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