The method of exact diagonalization preserving the total spin and taking the point symmetry of the two-dimensional isotropic Heisenberg magnet into account |
| |
Authors: | I G Bostrem A S Ovchinnikov V E Sinitsyn |
| |
Institution: | (1) Ural State University, Ekaterinburg, Russia |
| |
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.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 149, No. 2, pp. 262–280, November, 2006. |
| |
Keywords: | Heisenberg model exact diagonalization cluster calculations group theory angular momentum theory two-dimensional antiferromagnet |
本文献已被 SpringerLink 等数据库收录! |