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2014 | 126 | 2 | 617-620
Article title

Electronic Structure and Transport in Approximants of the Penrose Tiling

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EN
Abstracts
EN
We present numerical calculations of electronic structure and transport in the Penrose approximants. The electronic structure of perfect approximants shows a spiky density of states and a tendency to localization that is more pronounced in the middle of the band. Near the band edges the behavior is more similar to that of free electrons. These calculations of band structure and in particular the band scaling suggest an anomalous quantum diffusion when compared to normal ballistic crystals. This is confirmed by a numerical calculation of quantum diffusion which shows a crossover from normal ballistic propagation at long times to anomalous, possibly insulator-like, behavior at short times. The time scale t^*(E) for this crossover is computed for several approximants and is detailed. The consequences for electronic conductivity are discussed in the context of the relaxation time approximation. The metallic-like or non-metallic-like behavior of the conductivity is dictated by the comparison between the scattering time due to defects and the time scale t^*(E).
Keywords
Year
Volume
126
Issue
2
Pages
617-620
Physical description
Dates
published
2014-08
References
  • [1] D. Shechtman, J. Blech, D. Gratias, J.W. Cahn, Phys. Rev. Lett. 53, 1951 (1984), doi: 10.1103/PhysRevLett.53.1951
  • [2] S.J. Poon, Adv. Phys. 41, 303 (1992), doi: 10.1080/00018739200101513
  • [3] C. Berger, E. Belin, D. Mayou, Ann. Chim. Mater (Paris) 18, 485 (1993)
  • [4] E. Belin, D. Mayou, Phys. Scr. T 49A, 356 (1993), doi: 10.1088/0031-8949/1993/T49A/062
  • [5] C. Berger, in: Lectures on Quasicrystals, Eds. F. Hippert, D. Gratias, Les Editions de Physique, Les Ulis 1994, p. 463
  • [6] T. Grenet, in: Quasicrystals: Current Topics, Eds. E. Belin-Ferré, C. Berger, M. Quiquandon, A. Sadoc, World Sci., Singapore 2000, p. 455
  • [7] T. Fujiwara, Phys. Rev. B 40, 942 (1989), doi: 10.1103/PhysRevB.40.942
  • [8] T. Fujiwara, S. Yamamoto, G. Trambly de Laissardière, Phys. Rev. Lett. 71, 4166 (1993), doi: 10.1103/PhysRevLett.71.4166
  • [9] M. Krajčí, M. Windisch, J. Hafner, G. Kresse, M. Mihalkovič, Phys. Rev. B 51, 17355 (1995), doi: 10.1103/PhysRevB.51.17355
  • [10] G. Trambly de Laissardière, D. Mayou, Phys. Rev. B 55, 2890 (1997), doi: 10.1103/PhysRevB.55.2890
  • [11] G. Trambly de Laissardière, S. Roche, D. Mayou, Mater. Sci. Eng. A 226-228, 986 (1997), doi: 10.1016/S0921-5093(96)10832-7
  • [12] G. Trambly de Laissardière, D. Nguyen Manh, D. Mayou, Prog. Mater. Sci. 50, 679 (2005), doi: 10.1016/j.pmatsci.2005.01.001
  • [13] G. Trambly de Laissardière, J.P. Julien, D. Mayou, Phys. Rev. Lett. 97, 026601 (2006), doi: 10.1103/PhysRevLett.97.026601
  • [14] G. Trambly de Laissardière, J.P. Julien, D. Mayou, Philos. Mag. 88, 2131 (2008), doi: 10.1080/14786430801894544
  • [15] G. Trambly de Laissardière, Mayou, C.R. Physique 15, 70 (2014), doi: 10.1016/j.crhy.2013.09.010
  • [16] D. Mayou, G. Trambly de Laissardière, in: Quasicrystals, series Handbook of Metal Physics, Eds. T. Fujiwara, Y. Ishii, Elsevier Science, Oxford 2008, Vol. 3, p. 209, doi: 10.1016/S1570-002X(08)80022-5
  • [17] M. Kohmoto, B. Sutherland, Phys. Rev. Lett. 56, 2740 (1986), doi: 10.1103/PhysRevLett.56.2740
  • [18] T. Fujiwara, M. Kohmoto, T. Tokihiro, Phys. Rev. B 40, 7413 (1989), doi: 10.1103/PhysRevB.40.7413
  • [19] C. Sire, J. Bellissard, Europhys. Lett. 11, 439 (1990), doi: 10.1209/0295-5075/11/5/009
  • [20] B. Passaro, C. Sire, V.G. Benza, Phys. Rev. B 46, 13751 (1992), doi: 10.1103/PhysRevB.46.13751
  • [21] C. Sire, in Ref. [5], p. 505
  • [22] A. Jagannathan, J. Phys. I (France) 4, 133 (1994), doi: 10.1051/jp1:1994126
  • [23] J.X. Zhong, R. Mosseri, J. Phys. I (France) 4, 1513 (1994), doi: 10.1051/jp1:1994204
  • [24] S. Roche, D. Mayou, Phys. Rev. Lett. 79, 2518 (1997), doi: 10.1103/PhysRevLett.79.2518
  • [24a] S. Roche, D. Mayou, Phys. Rev. B 60, 322 (1999), doi: 10.1103/PhysRevB.60.322
  • [25] D. Mayou, Phys. Rev. Lett. 85, 1290 (2000), doi: 10.1103/PhysRevLett.85.1290
  • [26] S. Yamamoto, T. Fujiwara, Phys. Rev. B 51, 8841 (1995), doi: 10.1103/PhysRevB.51.8841
  • [27] T. Fujiwara, T. Mitsui, S. Yamamoto, Phys. Rev. B 53, R2910 (1996), doi: 10.1103/PhysRevB.53.R2910
  • [28] E.S. Zijlstra, T. Janssen, Phys. Rev. B 61, 3377 (2000), doi: 10.1103/PhysRevB.61.3377
  • [29] E.S. Zijlstra, T. Janssen, Mater. Sci. Eng. 294-296, 886 (2000), doi: 10.1016/S0921-5093(00)01146-1
  • [30] E.S. Zijlstra, Phys. Rev. B 66, 214202 (2002), doi: 10.1103/PhysRevB.66.214202
  • [31] F. Triozon, Julien Vidal, R. Mosseri, D. Mayou, Phys. Rev. B 65, R220202 (2002), doi: 10.1103/PhysRevB.65.220202
  • [32] E.S. Zijlstra, J. Non-Cryst. Solids 334, 126 (2004), doi: 10.1016/j.jnoncrysol.2003.11.026
  • [33] A. Jagannathan, P. Piéchon, Philos. Mag. 87, 2389 (2007), doi: 10.1080/14786430701196990
  • [34] G. Trambly, C. de Laissardière, D. Oguey, Mayou, Philos. Mag. 91, 2778 (2011), doi: 10.1080/14786435.2010.523718
  • [35] M. Duneau, M. Audier, in Ref. [5], p. 283
  • [36] A. Jagannathan, A. Szallas, S. Wessel, M. Duneau, Phys. Rev. B 75, 212407 (2007), doi: 10.1103/PhysRevB.75.212407
  • [37] A. Szallas, A. Jagannathan, Phys. Rev. B 77, 104427 (2008), doi: 10.1103/PhysRevB.77.104427
  • [38] M. Arai, T. Tokihiro, T. Fujiwara, M. Kohmoto, Phys. Rev. B 38, 1621 (1988), doi: 10.1103/PhysRevB.38.1621
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv126n248kz
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