Australian Journal of Physics Australian Journal of Physics Society
A journal for the publication of original research in all branches of physics

Hamiltonian Moments and the Lanczos Method in the Heisenberg Model

Lloyd CL Hollenberg and Christopher J Griffin

Australian Journal of Physics 45(6) 717 - 724
Published: 1992


The connected Hamiltonian moments (Hn)c of the one-dimensional s = ~ Heisenberg model with respect to the Neel state are calculated up to n = 17. Subsequent calculation of the Hamiltonian moments (Hn) allows the first nine iterations of the Lanczos diagonalisation to be determined analytically for arbitrary lattice size.

© CSIRO 1992

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