Size-dependent magnetization fluctuations in NiO nanoparticles
2008, Arxiv preprint arXiv:0806.1262
Abstract
The finite size and surface roughness effects on the magnetization of NiO nanoparticles is investigated. A large magnetic moment arises for an antiferromagnetic nanoparticle due to these effects. The magnetic moment without the surface roughness has a non-monotonic and oscillatory dependence on $R$, the size of the particles, with the amplitude of the fluctuations varying linearly with $R$. The geometry of the particle also matters a lot in the calculation of the net magnetic moment. An oblate spheroid shape particle shows an increase in net magnetic moment by increasing oblateness of the particle. However, the magnetic moment values thus calculated are very small compared to the experimental values for various sizes, indicating that the bulk antiferromagnetic structure may not hold near the surface. We incorporate the surface roughness in two different ways; an ordered surface with surface spins inside a surface roughness shell aligned due to an internal field, and a disordered sur...
References (38)
- D. Fiorani, Surface Effects in Magnetic Nanoparticles (Springer, New York, 2005).
- R. H. Kodama, Salah A. Makhlouf, and A. E. Berkowitz, Phys. Rev. Lett. 79, 1393 (1997).
- R. H. Kodama, A. E. Berkowitz, Phys. Rev. B 59, 6321 (1999).
- E. Winkler, R. D. Zysler, M. Vasquez Mansilla, and D. Fiorani, Phys. Rev. B 72, 132409 (2005).
- S. D. Tiwari and K. P. Rajeev, Phys. Rev. B 72, 104433 (2005).
- J. B. Yi, J. Ding, Y. P. Feng, G. W. Peng, G. M. Chow, Y. Kawazoe, B. H. Liu, J. H. Yin, and S. Thongmee, Phys. Rev. B 76, 224402 (2007).
- E. Winkler, R. D. Zysler, M. Vasquez Mansilla, D. Fiorani, D. Rinaldi, M. Vasilakaki and K. N Trohidou, Nanotechnology 19, 185702 (2008).
- M. A. Morales, R. Skomski, S. Fritz, G. Shelburne, J. E. Shield, Ming Yin, Stephen O'Brien, and D. L. Leslie-Pelecky, Phys. Rev. B 75, 134423 (2007).
- S. Mørup,D. E. Madsen, C. Frandsen C. R. H. Bahl and M. F. Hansen, J. Phys.: Condens. Matter 19, 213202 (2007).
- A. Tomou, D. Gournis, I. Panagiotopoulos, Y. Huang, G. C. Hadjipanayis, and B. J. Kooi, J. Appl. Phys. 99, 123915 (2006).
- R. N. Bhowmik, R. Nagarajan, and R. Ranganathan Phys. Rev. B 69, 054430 (2004).
- M. Jagodic, Z. Jaglicić, A. Jelen, Jin Bae Lee, Young-Min Kim, Hae Jin Kim and J Dolinšek J. Phys.: Condens. Matter 21, 215302 (2009).
- C. G. Shull, W. A. Strauser, and E. O. Wollan, Phys. Rev. 83, 333 (1951).
- J. T. Richardson And W. O. Milligan, Phys. Rev. 102, 1289 (1956).
- S. A. Makhlouf, F. T. Parker, F. E. Spada and A. E. Berkowitz, J. Appl. Phys. 81, 5561 (1997).
- L. Néel in Low Temperature Physics, ed. C. DeWitt, B. Dreyfus and P. G. DeGennes, (Gordon and Beach, London, 1962), p. 411.
- J. T. Richardson, D. I. Yiagas, B. Turk, K. Forster, and M. V. Twigg, J. Appl. Phys. 70, 6977 (1991).
- W. J. Schuele And V. D. Deetscreek, J. Appl. Phys. 33, 1136 (1962).
- I. S. Jacobs and C. P. Bean, in Magnetism, ed. G. T. Rado and H. Suhl, (Academic Press, New York, 1963) Vol. III, p. 294.
- X. Zianni and K. N. Trohidou, J. Appl. Phys. 85, 1050 (1999).
- O. Iglesias and A. Labarta, Phys. Rev. B 63, 184416 (2001).
- O. Iglesias and A. Labarta, Physica B 343, 286 (2004).
- A. Labarta, X. Batlle and O. Iglesias in Surface Effects in Magnetic Nanoparticles, ed. D. Fiorani, (Springer, 2005) p. 105.
- O. Iglesias and A. Labarta, J. Magn. Magn. Mater. 290, 738 (2005).
- H. P. Rooksby, Acta Cryst. 1, 226 (1948).
- G. A. Slack, J. Appl. Phys. 31, 1571 (1960).
- L. C. Bartel and B. Morosin, Phys. Rev. B 3, 1039 (1971).
- W. L. Roth, Phys. Rev. 111, 772 (1958).
- W. L. Roth and G. A. Slack, J. Appl. Phys. 31, 352S (1960).
- W. L. Roth J. Appl. Phys. 31, 2000 (1960).
- M. T. Hutchings and E. J. Samuelsen, Phys. Rev. B 6, 3447 (1972).
- C. R. H. Bahl, M. F. Hansen, T. Pedersen, S. Saadi, K. H. Nielsen B. Lebech and S. Mørup J. Phys.: Condens. Matter 18, 4161 (2006).
- Y. Mita, Y. Ishida, M. Kobayashi and S. Endo J. Phys.: Condens. Matter 14, 11173 (2002).
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, (New york Dover 1972).
- M. J. Lighthill, Fourier Analysis and Generalized Functions, (Cambridge Univ. Press, London, 1958), p. 67-71.
- R. D. Zysler, E. Winkler, M. Vasquez Mansilla and D. Fiorani, Physica B: Condensed Matter 384, 277 (2006).
- C. G. Granqvist and R. A. Buhrman J. Appl. Phys. 47, 2200 (1976).
- S. D. Tiwari and K. P. Rajeev unpublished.