Fracton Excitations in the Magnetic "Net Fractal" Systems

• Authors: Z. Bąk
• Languages of publication: 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.

Keywords

EN

61.43.Hv; 75.30.Ds

Discipline

• 75.30.Ds: Spin waves(for spin-wave resonance, see 76.50.+g)
• 61.43.Hv: Fractals; macroscopic aggregates (including diffusion-limited aggregates)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2008
• Volume: 113
• Issue: 1
• Pages: 541-544

Dates

published

2008-01

received

2007-07-09

Contributors

author

Z. Bąk

• 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

Identifiers

DOI

10.12693/APhysPolA.113.541