Ising Expansion for the Hubbard Model

Details Ising Expansion for the Hubbard Model Ising Expansion for the Hubbard Model

1995-07-22

arxiv.org/abs/cond-mat/9507096v2

Physics

Condensed Matter

22 pages, 6 Postscript figures, Revtex

Scientific paper

10.1103/PhysRevB.52.9620

We develop series expansions for the ground state properties of the Hubbard model, by introducing an Ising anisotropy into the Hamiltonian. For the two-dimensional (2D) square lattice half-filled Hubbard model, the ground state energy, local moment, sublattice magnetization, uniform magnetic susceptibility and spin stiffness are calculated as a function of $U/t$, where $U$ is the Coulomb constant and $t$ is the hopping parameter. Magnetic susceptibility data indicate a crossover around $U\approx 4$ between spin density wave antiferromagnetism and Heisenberg antiferromagnetism. Comparisons with Monte Carlo simulations, RPA result and mean field solutions are also made.

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