This article is cited in 11 papers

The method of exact diagonalization preserving the total spin and taking the point symmetry of the two-dimensional isotropic Heisenberg magnet into account

I. G. Bostrem, A. S. Ovchinnikov, V. E. Sinitsyn

Ural State University

Abstract: We propose a double-pass method of exact diagonalization of a finite cluster on the base of functions that have a definite total spin and transform by a definite irreducible representation of the point symmetry group of the lattice. We also propose the method for approximating the energy spectrum in the thermodynamic limit using the spectrum of the surrounding states, which increases the calculation accuracy leaving the cluster size invariant. The algorithm details are extensively illustrated with an example of clusters of spin $1/2$ on a simple square lattice.

Keywords: Heisenberg model, exact diagonalization, cluster calculations, group theory, angular momentum theory, two-dimensional antiferromagnet.

Received: 17.04.2006

DOI: 10.4213/tmf4233

 English version: Theoretical and Mathematical Physics, 2006, 149:2, 1527–1544

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