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Numerically exact and approximate determination of energy eigenvalues for antiferromagnetic molecules using irreducible tensor operators and general point-group symmetries

2008/12/22 by R. Schnalle, Roman Schnalle, Jürgen Schnack +1 · 1 citation
Materials Science · Physics and Astronomy · #Magnetism in coordination complexes #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.79.104419

published as Phys. Rev. B 79 (2009) 104419 · 10 pages, 11 figures, submitted to Phys. Rev. B

arxiv created 2008/12/22 · openalex publication_date 2009/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Numerical exact diagonalization is the ultimate method of choice in order to discuss static, dynamic, and thermodynamic properties of quantum systems. In this article we consider Heisenberg spin-systems and extend the range of applicability of the exact diagonalization method by showing how the irreducible tensor operator technique can be combined with an unrestricted use of general point-group symmetries. We also present ideas how to use spin-rotational and point-group symmetries in order to obtain approximate spectra.

Citations

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