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Mean Field Study of a New Nanotube Structure from a Double Hexagonal Symmetry

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Abstract

Borrowing ideas from Lie algebras, we propose a new nanotube model based on a double hexagonal geometry appearing in the G 2 Lie symmetry. This structure involves two hexagons of unequal side length at angle 30 ∘ producing \((\sqrt {3}~\times ~\sqrt {3})R30~^{\circ }\) and (1 × 1) geometries. In this configuration system, the principal unit cell contains 12 sites instead of only 6 ones, arising in the single hexagonal structure on which the graphene-like models are based. More precisely, we engineer a superlattice model based on periodic bilayers consisting of particles with the spins \(\sigma =\pm \frac {1}{2}\) having two possible states, placed at sites of the double hexagonal structure. Then, we investigate the phase diagrams and the magnetic properties using the mean field method. In particular, we find six stable phases required by a global Z 2 symmetry associated with the spin values placed at the site of the G 2 double hexagonal structure.

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Authors and Affiliations

  1. Laboratoire de Magnétisme et Physique des Hautes Énergies (LMPHE-URAC 12) Faculté des Sciences, Université Mohammed V-Agdal, Rabat, Morocco

    S. Naji, L. Bahmad, A. Benyoussef & A. El Kenz

  2. Department of Physics, Faculty of Science, Ibb University, Ibb, Yemen

    S. Naji

  3. Department of Computer Sciences, Faculty of Sciences, University Mohammed V-Agdal, Rabat, Morocco

    S. Ziti

  4. Département de Physique, Faculté Polydisciplinaire, Université Sultan Moulay Slimane Béni Mellal, Béni Mellal, Morocco

    A. Belhaj

  5. Centre National de l’Energie, des Sciences et des Techniques Nucléaires, Rabat, Morocco

    H. Labrim

  6. Institute of Nanomaterials and Nanotechnology MAScIR, Rabat, Morocco

    A. Benyoussef

  7. Hassan II Academy of Science and Technology, Rabat, Morocco

    A. Benyoussef

  8. Laboratoire Conception et Systèmes, Faculté des Sciences, Université Mohammed V-Agdal, Rabat, Morocco

    L. Laânab

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  1. S. Naji
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  2. S. Ziti
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  3. A. Belhaj
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  4. H. Labrim
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  5. L. Bahmad
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  6. A. Benyoussef
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  7. A. El Kenz
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  8. L. Laânab
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Correspondence to L. Bahmad.

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Naji, S., Ziti, S., Belhaj, A. et al. Mean Field Study of a New Nanotube Structure from a Double Hexagonal Symmetry. J Supercond Nov Magn 28, 2183–2191 (2015). https://doi.org/10.1007/s10948-015-2992-y

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  • DOI: https://doi.org/10.1007/s10948-015-2992-y

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