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2014 | 126 | 2 | 453-457
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Electronic Properties and Complexity of Al-Based Complex Metallic Alloys

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As a consequence of their structural complexity, the electron transport properties of Al-based complex metallic alloys scale as simple power laws of the number of atoms in the primitive unit cell. Furthermore, presence in energy space of localised, d-like states below the Fermi level is systematically observed, even in the absence of any transition metal constituting element. The relative intensity of this contribution to the total density of states correlates with the structural complexity of the compound. Thus, complexity plays a key role, via Hume-Rothery, hybridization effects and most probably hopping, in the selection, formation and stability of Al-based complex metallic alloys. The results are interpreted in terms of self-organized criticality. In order to promote discussion about the essence of the quasicrystalline state ("why are the atoms where they are?"), a speculative model is suggested.
  • Institut Jean Lamour (UMR 7198 CNRS Université de Lorraine), Parc de Saurupt, CS 50840, 54011 Nancy, France
  • Laboratoire de Chimie-Physique, Matière et Rayonnement (UMR 7614 CNRS UPMC) 11 rue Pierre et Marie Curie, 75005 Paris, France
  • [1] Complex Metallic Alloys: Fundamentals and Applications, Eds. J.M. Dubois, E. Belin-Ferré, Wiley, Weinheim 2011
  • [2] I. Mizutani, M. Inukai, H. Sato, E.S. Zijlstra, Chem. Soc. Rev. 41, 6799 (2012), doi: 10.1039/c2cs35161g
  • [3] G. Tramblyde Laissardière, D. Mayou, Phys. Rev. B 55, 2890 (1997), doi: 10.1103/PhysRevB.55.2890
  • [4] E. Belin-Ferré, J. Phys., Condens. Matter 14, R789 (2002), doi: 10.1088/0953-8984/14/31/201
  • [5] J.M. Dubois, in: Properties and Applications of Complex Intermetallics, Vol. 2, Ed. E. Belin-Ferré, World Scientific, Singapore 2008, p. 1
  • [6] J.M. Dubois, Useful Quasicrystals, World Scientific, Singapore 2005
  • [7] M. Quiquandon, Y. Calvayrac, A. Quivy, F. Faudot, D. Gratias, in: Quasicrystals, Preparation, Properties and Applications, Eds. J.M. Dubois, P.A. Thiel, A.P. Tsai, K. Urban, Vol. 553, Materials Research Society, Warrendale 1999, p. 95
  • [8] M. Klanjšek, S. Jazbec, M. Feuerbacher, J. Dolinšek, Intermetallics 39, 50 (2013), doi: 10.1016/j.intermet.2013.03.012
  • [9] C. Berger, in: Lectures on Quasicrystals, Eds. F. Hippert, D. Gratias, Les Editions de Physique, Les Ulis 1994, p. 463
  • [10] E. Belin-Ferré, M. Klanjšek, Z. Jagličić, J. Dolinšek, J.M. Dubois, J. Phys., Condens. Matter 17, 6911 (2005), doi: 10.1088/0953-8984/17/43/010
  • [11] J. Dolinšek, T. Apihm, P. Jeglič, I. Smiljanić, A. Bilušić, Ž. Bihar, A. Smontara, Z. Jagličić, M. Heggen, M. Feuerbacher, Intermetallics 15, 1367 (2007), doi: 10.1016/j.intermet.2007.04.010
  • [12] E. Belin-Ferré, J.M. Dubois, Philos. Mag. 88-13-15, 2163 (2008), doi: 10.1080/14786430801946641
  • [13] P. Bak, How Nature Works: the Science of Self-Organized Criticality, Copernicus Press, New York 1996
  • [14] P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. A 38, 364 (1988), doi: 10.1103/PhysRevA.38.364
  • [15] C. Sire, in Ref. [9], p. 505
  • [16] U. Mizutani, Introduction to the Electron Theory of Metals, Cambridge University Press, Cambridge 2001, p. 509
  • [17] E. Belin-Ferré, Z. Dankhazi, M.F. Fontaine, M.C. de Weerd, J.M. Dubois, Croat. Chem. Acta 83, 55 (2010)
  • [18] E. Belin-Ferré, V. Fournée, J.M. Dubois, J. Phys., Condens. Matter 12, 8159 (2000), doi: 10.1088/0953-8984/12/37/314
  • [19] W. Steurer, Z. Kristallogr. 222, 259 (2007), doi: 10.1524/zkri.2007.222.6.259
  • [20] D.A. Papaconstantopoulos, Handbook of the Band Structure of Elemental Solids, Plenum Press, New York 1986
  • [21] M. Engel, H.-R. Trebin, Phys. Rev. Lett. 98, 225505 (2007), doi: 10.1103/PhysRevLett.98.225505
  • [22] R. Lifshitz, D.M. Petrich, Phys. Rev. Lett. 79, 1261 (1997), doi: 10.1103/PhysRevLett.79.1261
  • [23] K. Barkan, H. Diamant, R. Lifshitz, Phys. Rev. B 83, 172201 (2011), doi: 10.1103/PhysRevB.83.172201
  • [24] U. Mizutani, Hume-Rothery Rules for Structurally Complex Alloy Phases, CRC Press, Taylor &Francis, Boca Raton 2011
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