Symmetry 2010, 2(2), 722-766; doi:10.3390/sym2020722

Application of Symmetry Methods to Low-Dimensional Heisenberg Magnets

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Received: 24 December 2009; in revised form: 15 February 2010 / Accepted: 11 March 2010 / Published: 9 April 2010
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: An account of symmetry is very fruitful in studies of quantum spin systems. In the present paper we demonstrate how to use the spin SU(2) and the point symmetries in optimization of the theoretical condensed matter tools: the exact diagonalization, the renormalization group approach, the cluster perturbation theory. We apply the methods for study of Bose-Einstein condensation in dimerized antiferromagnets, for investigations of magnetization processes and magnetocaloric effect in quantum ferrimagnetic chain.
Keywords: low-dimensional magnetism; cluster methods; lattice point group symmetry; rotational spin symmetry
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MDPI and ACS Style

Bostrem, I.G.; Ovchinnikov, A.S.; Sinitsyn, V.E. Application of Symmetry Methods to Low-Dimensional Heisenberg Magnets. Symmetry 2010, 2, 722-766.

AMA Style

Bostrem IG, Ovchinnikov AS, Sinitsyn VE. Application of Symmetry Methods to Low-Dimensional Heisenberg Magnets. Symmetry. 2010; 2(2):722-766.

Chicago/Turabian Style

Bostrem, Irene G.; Ovchinnikov, Alexander S.; Sinitsyn, Valentine E. 2010. "Application of Symmetry Methods to Low-Dimensional Heisenberg Magnets." Symmetry 2, no. 2: 722-766.

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