caa a22 4500 467911258 CHVBK 20180406152849.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s11232-006-0136-z doi (NATIONALLICENCE)springer-10.1007/s11232-006-0136-z The method of exact diagonalization preserving the total spin and taking the point symmetry of the two-dimensional isotropic Heisenberg magnet into account [Elektronische Daten] [I. Bostrem, A. Ovchinnikov, V. Sinitsyn] 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. Springer Science+Business Media, Inc., 2006 Heisenberg model nationallicence exact diagonalization nationallicence cluster calculations nationallicence group theory nationallicence angular momentum theory nationallicence two-dimensional antiferromagnet nationallicence Bostrem I. Ural State University, Ekaterinburg, Russia aut Ovchinnikov A. Ural State University, Ekaterinburg, Russia aut Sinitsyn V. Ural State University, Ekaterinburg, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/2(2006-11-01), 1527-1544 0040-5779 149:2<1527 2006 149 11232 https://doi.org/10.1007/s11232-006-0136-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0136-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bostrem I. Ural State University, Ekaterinburg, Russia aut NATIONALLICENCE 700 1- Ovchinnikov A. Ural State University, Ekaterinburg, Russia aut NATIONALLICENCE 700 1- Sinitsyn V. Ural State University, Ekaterinburg, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/2(2006-11-01), 1527-1544 0040-5779 149:2<1527 2006 149 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer