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A Self-consistent Approach Applied to the Ferro and Antiferromagnetism of Nanotubes

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Abstract

We employ a self-consistent simulation approach based on mean field theory to investigate the physical properties of both ferromagnetic and antiferromagnetic nanotubes. At the beginning, dipole-dipole interaction is neglected to facilitate theoretical analysis. Due to the geometric shape of the nanotubes and the magnetic uniaxial anisotropy, the spins are found always ordering parallel to the longitudinal axis of the nanotubes, no matter the external magnetic field is absent or applied along the axis, showing a typical ferromagnetic and antiferromagnetic characters. This peculiar feature allows us to build the one-dimensional magnetic chain models. Consequently, the results obtained with our theoretical models and numerical approach are exactly identical, manifesting the correctness of the new simulation approach. Finally, the dipole-dipole interaction is taken into account. It is very interesting to find that a very weak dipole-dipole interaction is able to make the spins align mainly along the longitudinal axis, though they tilt inwards or outwards slightly and symmetrically.

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References

  1. Iijima, S.: Helical microtubules of graphitic carbon. Nature 354, 56–58 (1991)

    Article  ADS  Google Scholar 

  2. Liu, H., Nishide, D., Tanaka, T., Kataura, H.: Large-scale single-chirality separation of single-wall carbon nanotubes by simple gel chromatography. Nat. Commun. 2, 309 (2011)

    Article  ADS  Google Scholar 

  3. Liu, H., Tanaka, T., Urabe, Y., Kataura, H.: High-efficiency single-chirality separation of carbon nanotubes using temperature-controlled gel chromatography. Nano Lett. 13, 1996–2003 (2013)

    Article  ADS  Google Scholar 

  4. Fagan, J.A., Zheng, M., Rastogi, V., Simpson, J.R., Khripin, C.Y., Silvera Batista, C.A., Hight Walker, A.R.: Analyzing surfactant structures on length and chirality resolved (6,5) single-wall carbon nanotubes by analytical ultracentrifugation. ACS Nano. 23, 3373–87 (2013)

    Article  Google Scholar 

  5. Liu, H., Tanaka, T., Kataura, H.: Optical isomer separation of single-chirality carbon nanotubes using gel column chromatography. Nano Lett. 14, 6237–6243 (2014)

    Article  ADS  Google Scholar 

  6. Lim, Y.S., Nugraha, A.R., Cho, S.J., Noh, M.Y., Yoon, E.J., Liu, H., Kim, J.H., Telg, H., Hároz, E.H., Sanders, G.D., Baik, S.H., Kataura, H., Doorn, S.K., Stanton, C.J., Saito, R., Kono, J., Joo, T.: Ultrafast generation of fundamental and multiple-order phonon excitations in highly enriched (6,5) single-wall carbon nanotubes. Nano Lett. 14, 1426–1432 (2014)

    Article  ADS  Google Scholar 

  7. Hu, H.N., Chen, H.Y., Yu, S.Y., Chen, L.J., Chen, J.L., Wu, G.H.: Fabrication and magnetic properties of Co x Pd1−x composite nanowire. J. Magn. Magn. Matter. 299, 170–175 (2006)

    Article  ADS  Google Scholar 

  8. Schaaf, P., Zhang, K., Lange, C., Holz, A., Weisheit, M., Fähler, S.: Structure and anisotropy of epitaxial fcc FePt films. Appl. Surf. Sci. 253, 8107–8110 (2007)

    Article  ADS  Google Scholar 

  9. Krusin-Elbaum, L., Newns, D.M., Zeng, H., Derycke, V., Sun, J.Z., Sandstrom, R: Room-temperature ferromagnetic nanotubes controlled by electron or hole doping. Nature 431, 672–676 (2004)

    Article  ADS  Google Scholar 

  10. Gao, C., Li, W., Morimoto, H., Nagaoka, Y., Maekawa, T.: Magnetic carbon nanotubes: synthesis by electrostatic self-assembly approach and application in biomanipulations. J. Phys. Chem. B 110, 7213–7220 (2006)

    Article  Google Scholar 

  11. Xie, J., Chen, L., Varadan, V.K., Yancey, J., Srivatsan, M.: The effects of functional magnetic nanotubes with incorporated nerve growth factor in neuronal differentiation of PC12 cells. Nanotechnology 19, 105101 (2008)

    Article  ADS  Google Scholar 

  12. Kim, I.T., Tannenbaum, R.: In: Marulanda, J.M. (ed.) Electronic properties of carbon nanotubes, (Janeza Trdine 9, 51000 Rijeka, Croatia), p 33 (2009)

  13. Gul, H., Lu, W., Xu, P., Xing, J., Chen, J.: Magnetic carbon nanotube labelling for haematopoietic stem/progenitor cell tracking. Nanotechnology 21, 155101 (2010)

    Article  ADS  Google Scholar 

  14. Shimada, T., Ishii, Y., Kitamura, T.: Ab initio study of magnetism at iron surfaces under epitaxial in-plane strain. Phys. Rev. B 81, 134420 (2010)

    Article  ADS  Google Scholar 

  15. Landeros, P., Suarez, O.J., Cuchillo, A., Vargas, P.: Equilibrium states and vortex domain wall nucleation in ferromagnetic nanotubes. Phys. Rev. B 79, 024404 (2009)

    Article  ADS  Google Scholar 

  16. Mi, B.Z., Wang, H.Y., Zhou, Y.S.: Theoretical investigations of magnetic properties of ferromagnetic single-walled nanotubes. J. Magn. Magn. Mater. 322, 952–958 (2010)

    Article  ADS  Google Scholar 

  17. Masrour, R., Bahmad, L., Hamedoun, M., Benyoussef, A., Hlil, E.K.: The magnetic properties of a decorated Ising nanotube examined by the use of the Monte Carlo simulations. Solid State Commun. 162, 53–56 (2013)

    Article  ADS  Google Scholar 

  18. Liu, Z.S., Sechovský, V., Diviš, M.: Magnetism of PrAl2 nanoparticle investigated with a quantum simulation model. J. Phys. Condens. Matter 23, 016002 (2011)

    Article  ADS  Google Scholar 

  19. Liu, Z.S., Sechovský, V., Diviš, M.: Magnetic properties of a 3d nanoparticle (S = 5/2) studied with a quantum simulation model. Phys. E 44, 826–832 (2012)

    Article  Google Scholar 

  20. Liu, Z.S., Sechovský, V., Diviš, M.: Magnetism of DyNi2 B 2C nanoparticle investigated with a quantum simulation model. Phys. Status Solidi B 249, 202–208 (2012)

    Article  ADS  Google Scholar 

  21. Liu, Z.S., Sechovský, V., Diviš, M.: Mutual verification of two new quantum simulation approaches for nanomagnets. Phys. E 62, 123–127 (2014)

    Article  Google Scholar 

  22. Liu, Z.S., Sechovský, V., Diviš, M.: Specific heat and magnetic ordering of NdNi2 B 2C. Phys. Lett. A 371, 344–347 (2007)

    Article  ADS  Google Scholar 

  23. Liu, Z.S., Sechovský, V., Diviš, M.: Magnetism of ErNi2 B 2C investigated with a two-ion model for rare-earth antiferromagnets. J. Phys. Chem. Solids 72, 983–987 (2011)

    Article  ADS  Google Scholar 

  24. Liu, Z.S., Sechovský, V., Diviš, M.: Magnetic properties of rare-earth antiferromagnets studied using a two-ion model. Phys. Rev. B 78, 214409 (2008)

    Article  ADS  Google Scholar 

  25. Liu, Z.S., Sechovský, V., Diviš, M.: Specific heat and magnetic ordering of ErBi studied with crystal-field theory in the mean-field approach. Phys. B 403, 3439–3442 (2008)

    Article  ADS  Google Scholar 

  26. Liu, Z.S., Park, J.-G.: The origin of ferromagnetic ordering in PrNi3.9Cu1.1. Physica B: Condensed Matter. Phys. B Condens. Matter, Phys. B 322, 133–139 (2002)

    Article  ADS  Google Scholar 

  27. Liu, Z.S., Sechovský, V., Diviš, M.: The magnetic properties of TbNi2B2C investigated with a two-sublattice model. Chin. Phys. Lett. 26, 067501 (2009)

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Acknowledgements

Z.-S. Liu acknowledges the financial support by National Natural Science Foundation of China under grant No. 11274177 and University of Macau. H. Ian is supported by the FDCT of Macau under grant 013/2013/A1, University of Macau under grants MRG 022/IH/2013/FST and MYRG2014-00052-FST, and National Natural Science Foundation of China under Grant No. 11404415. R.G.Z. is supported by the National Natural Science Foundation of China under Grant No. 61463016.

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Authors and Affiliations

  1. Department of Applied Physics, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Zhaosen Liu

  2. Institute of Applied Physics and Materials Engineering, FST, University of Macau, Macau, China

    Hou Ian

  3. UMacau Research Institute, Zhuhai, Guangdong, China

    Hou Ian

  4. College of Information Engineering, Shanghai Maritime University, Shanghai, 201306, China

    Ri-Gui Zhou

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  1. Zhaosen Liu
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  2. Ri-Gui Zhou
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Correspondence to Hou Ian.

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Liu, Z., Zhou, RG. & Ian, H. A Self-consistent Approach Applied to the Ferro and Antiferromagnetism of Nanotubes. J Supercond Nov Magn 30, 2523–2534 (2017). https://doi.org/10.1007/s10948-017-4050-4

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  • DOI: https://doi.org/10.1007/s10948-017-4050-4

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