RKKY-Reminiscent Interaction in Net Fractals

• Authors: R. Jaroszewicz
• Languages of publication: EN

Abstracts

EN

We define a specific class of fractals as "net fractals" and prove that in the logarithmic scale they are isomorphic with some bulk crystals. Furthermore, with the use of logarithmic coordinates, we prove that in the "net fractal" magnetic system the indirect exchange, by itinerant electrons can be presented in the form that is reminiscent of the Ruderman-Kittel-Kasuya-Yosida interaction characteristic of a system of fractional spectral dimension.

Keywords

EN

61.43.Hv; 75.30.Hx

Discipline

• 61.43.Hv: Fractals; macroscopic aggregates (including diffusion-limited aggregates)
• 75.30.Hx: Magnetic impurity interactions

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 1
• Pages: 329-331

Dates

published

2009-01

Contributors

author

R. Jaroszewicz

• Institute of Physics, Jan Długosz University, al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland

References

• 1. R. Bouzerar, G. Bouzerar, T. Ziman, Phys. Rev. B 73, 024411 (2006)
• 2. P. Mahadevan, A. Zunger, D.D. Sarma, Phys. Rev. Lett. 93, 177201 (2004)
• 3. T. Balcerzak, J. Magn. Magn. Mater. 310, 1651 (2007)
• 4. Z. Bak, R. Jaroszewicz, W. Gruhn, J. Magn. Magn. Mater. 213, 340 (2000)
• 5. Z. Bak, Solid State Commun. 118, 43 (2001)
• 6. Z. Bak, Phase Transit. 80, 79 (2007)
• 7. T. Nakayama, K. Yakubo, R.L. Orbach, Rev. Mod. Phys. 66, 381 (1994)
• 8. N. Laskin, Phys. Rev. E 66, 056108 (2002)
• 9. Z. Bak, Phys. Rev. B 68, 064511 (2003)
• 10. M. Viret, F. Ott, H. Glaettli, L. Pinsard-Gaudart, A. Revcolevschi, Phys. Rev. Lett. 93, 217402 (2004)
• 11. Wu-Sheng Dai, Mi Xie, Phys. Lett. A 311, 340 (2003)

Identifiers

DOI

10.12693/APhysPolA.115.329