Regensburg 2010 – scientific programme
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MA: Fachverband Magnetismus
MA 2: Bio- and Molecular Magnetism
MA 2.4: Talk
Monday, March 22, 2010, 11:30–11:45, H10
Approximate eigenvalue determination of geometrically frustrated magnetic molecules — •Roman Schnalle — Universität Bielefeld, Fakultät für Physik, Universitätsstraße 25, D-33615 Bielefeld
Geometrically frustrated magnetic molecules have attracted a lot of interest in recent years. Interesting physical phenomena related to frustration that have been observed in zero-dimensional systems directly link the research fields of molecular and highly frustrated magnetism. In order to further investigate frustration effects in finite-size systems like magnetic molecules numerical exact diagonalization would be the method of choice. Having calculated the full energy spectra of such systems all thermodynamic and spectroscopic properties can be deduced.
Unfortunately, although not affected by conceptual problems arising from geometrical frustration, the application of numerical exact diagonalization is limited to rather small molecular systems. Especially, the magnetic behavior of the zero-dimensional representation of the Kagomé lattice – one of the most investigated extended antiferromagnetic systems – cannot be resolved by a numerical exact diagonalization. Nevertheless, an approximate numerical method that is based on a diagonalization within a reduced but carefully chosen set of basis states can be used to get insight into the physics of rather large frustrated systems [1].
[1] R. Schnalle, A. Läuchli, J. Schnack, Cond. Mat. Phys. 12, 331 (2009).