Plaquette expansion of the two-dimensional antiferromagnetic Heisenberg model

Michael J. Tomlinson and Lloyd C. L. Hollenberg
Phys. Rev. B 50, 1275 – Published 1 July 1994
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Abstract

The plaquette expansion of the Lanczos recursion method is applied to the two-dimensional antiferromagnetic Heisenberg model. Connected Hamiltonian moments 〈Hnc are calculated with respect to the Néel state up to n=6. The subsequent plaquette expansion of the Lanczos matrix in the number of plaquettes on the lattice, Np, is determined to order 1/Np. Diagonalizing the Lanczos matrix in this form gives a value of the energy density of -0.664 in the limit Np→∞, in good agreement with existing calculations.

  • Received 29 September 1993

DOI:https://doi.org/10.1103/PhysRevB.50.1275

©1994 American Physical Society

Authors & Affiliations

Michael J. Tomlinson and Lloyd C. L. Hollenberg

  • School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia

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Vol. 50, Iss. 2 — 1 July 1994

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