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2008 | 113 | 1 | 541-544
Article title

Fracton Excitations in the Magnetic "Net Fractal" Systems

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EN
Abstracts
EN
A localized spin system of fractal symmetry and Heisenberg exchange between nearest neighbors is considered. We define a specific class of fractals: "net fractals" and prove that in the logarithmic scale they are isomorphic with some bulk crystals. Further, with the use of logarithmic coordinates we show that the "net fractal" magnetic fractons can be presented as the conventional magnons.
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EN
Contributors
author
  • Institute of Physics, Jan Dlugosz University, al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland
References
  • 1. Z. Bak, Phase Transit. 80, 79 (2007)
  • 2. S. Alexander, Phys. Rev. B 40, 7953 (1989)
  • 3. Z. Bak, R. Jaroszewicz, W. Gruhn, J. Magn. Magn. Mater. 213, 340 (2000)
  • 4. Z. Bak, Phys. Rev. B 68, 064511 (2003)
  • 5. T. Nakayama, K. Yakubo, R.L. Orbach, Rev. Mod. Phys. 66, 381 (1994)
  • 6. Y.Z. Povstenko, Int. J. Eng. Sci. 43, 977 (2005)
  • 7. A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, in: Theory and Applications of Fractional Differential Equations, Ed. J. van Mill, North-Holland, Amsterdam 2006, Ch. 4
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Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv113n1132kz
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