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2001 | 100 | 4 | 453-475
Article title

Application of Algebraic Combinatorics to Finite Spin Systems with Dihedral Symmetry

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EN
Abstracts
EN
Properties of a given symmetry group G are very important in investigation of a physical system invariant under its action. In the case of finite spin systems (magnetic rings as Fe_6, Cu_6, Fe_{10}, some planar macromolecules as Fe_{12} or Fe_8) the symmetry group is isomorphic with the dihedral group D_N. In this paper group-theoretical "parameters" of such groups are determined, especially decompositions of transitive representations into irreducible ones and double cosets. These results are necessary to construct matrix elements of any operator commuting with G in an efficient way. The approach proposed can be useful in many branches of physics, but here it is applied to finite spin systems, which serve as models for mesoscopic magnets.
Keywords
EN
Publisher

Year
Volume
100
Issue
4
Pages
453-475
Physical description
Dates
published
2001-10
received
2001-06-11
(unknown)
2001-07-13
Contributors
  • Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
author
  • Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
author
  • Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
References
  • 1. D. Gatteschi, A. Caneschi, L. Pardi, R. Sessoli, Science, 265, 1054, 1994; A. Lascialfari, D. Gatteschi, A. Cornia, U. Balucani, M.G. Pini, A. Rettori, Phys. Rev. B, 57, 1115, 1998; A. Caneschi, D. Gatteschi, C. Sangregorio, R. Sessoli, L. Sorace, A. Cornia, M.A. Novak, C. Paulsen, W. Wernsdorfer, J. Magn. Magn. Mater., 200, 182, 1999; M. Affronte, J.C. Lasjaunias, A. Cornia, A. Caneschi, Phys. Rev. B, 60, 1161, 1999; G. Kamieniarz, R. Matysiak, W. Florek, S. Wałcerz, J. Magn. Magn. Mater., 203, 271, 1999
  • 2. W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes in C. The Art of Scientific Computing (second edition), Cambridge Univ. Press, Cambridge 1992, Sec. 2.0
  • 3. J.C. Bonner, M.E. Fisher, Phys. Rev. A, 135, 640, 64; J. Oitmaa, D.D. Betts, Can. J. Phys., 56, 897, 78
  • 4. K. Fabricus, U. Low, K.-H. Mutter, P. Ueberholz, Phys. Rev. B, 44, 7476, 1991 and the references cited therein
  • 5. More details can be found at GMP Home Pages at http://www.swox.com/gmp/
  • 6. W. Florek, Acta Phys. Pol. A, 100, 3, 2001
  • 7. W. Florek, T. Lulek, Acta Phys. Pol. A, 79, 19843, 1991; W. Florek, T. Lulek, J. Phys. A, Math. Gen., 26, 2153, 1993
  • 8. H.S.M. Coxeter, W.O.J. Moser, Generators and Relations for Discrete Groups, Springer, Berlin 1957
  • 9. G. Kamieniarz, R. Dekeyser, G. Musiał, L. Dębski, M. Bieliński, Phys. Rev. E, 56, 144, 1997
  • 10. W. Florek, Acta Magnetica, II, 43, 1985; V, 145, 1988; , VIII, 25, 1991
  • 11. T. Lulek, J. Phys. (France), 45, 29, 1984; W. Florek, T. Lulek, J. Phys. A, Math. Gen., 20, 1921, 1987
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv100n405kz
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