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Number of results
2014 | 126 | 2 | 490-492

Article title

Tight-Binding Models in a Quasiperiodic Optical Lattice

Content

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EN

Abstracts

EN
This paper describes how one can use four standing wave laser fields to realize a two dimensional optical quasicrystal with eight-fold symmetry, closely related to the well-known octagonal or Ammann-Beenker tiling quasicrystal. We describe the structure and we outline the main features of an effective tight-binding model for atoms in this optical quasicrystal. Such a system, if realized experimentally, should provide valuable insights into the quantum properties of quasicrystals.

Keywords

EN

Contributors

  • Laboratoire de Physique des Solides, Université Paris-Sud, 91405 Orsay, France
author
  • Centre de Physique Théorique, Ecole Polytechnique, CNRS, 91128 Palaiseau, France

References

  • [1] F.P.M. Beenker, TH Report 82-WSK-04, Technische Hogeschool, Eindhoven 1982
  • [1a] B. Grünbaum, G.C. Shephard, Tilings and Patterns, W.H. Freeman, San Francisco 1987
  • [1b] R. Ammann, B. Grünbaum, G.C. Shephard, Discrete Comput. Geom. 8, 1 (1992)
  • [2] I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008), doi: 10.1103/RevModPhys.80.885
  • [3] H. Bohr, Almost-Periodic Functions, Chelsea Publ., New York 1947
  • [4] A.S. Besicovitch, Almost Periodic Functions, Dover, Cambridge 1954
  • [5] B. Deissler, E. Lucioni, M. Modugno, G. Roati, L. Tanzi, M. Zaccanti, M. Inguscio, G. Modugno, New J. Phys. 13, 023020 (2011), doi: 10.1088/1367-2630/13/2/023020
  • [6] L. Guidoni, C. Triché, P. Verkerk, G. Grynberg, Phys. Rev. Lett. 79, 3363 (1997), doi: 10.1103/PhysRevLett.79.3363
  • [7] L. Sanchez-Palencia, L. Santos, Phys. Rev. A 72, 053607 (2005)
  • [8] J. Mikhael, G. Gera, T. Bohleina, C. Bechinger, Soft Matter 7, 1352 (2011), doi: 10.1039/C0SM00486C
  • [9] A. Jagannathan, M. Duneau, Europhys. Lett. 104, 66003 (2014), doi: 10.1209/0295-5075/104/66003
  • [10] C. Henley, in: Quasicrystals: The State of the Art, Eds. P.J. Steinhardt, D.P. Vincenzo, World Sci., Singapore 1991
  • [11] C. Sire, J. Bellissard, Europhys. Lett. 11, 439 (1990), doi: 10.1209/0295-5075/11/5/009
  • [12] B. Passaro, C. Sire, V.G. Benza, Phys. Rev. B 46, 13751 (1992), doi: 10.1103/PhysRevB.46.13751
  • [13] J.X. Zhong, R. Mosseri, J. Phys. I (France) 4, 1513 (1994), doi: 10.1051/jp1:1994204
  • [14] A. Jagannathan, J. Phys. I (France) 4, 133 (1994), doi: 10.1051/jp1:1994127
  • [15] A. Jagannathan, F. Piéchon, Philos. Mag. 87, 2389 (2006), doi: 10.1080/14786430701196990
  • [16] B. Passaro, C. Sire, V.G. Benza, Phys. Rev. B 46, 13751 (1992), doi: 10.1103/PhysRevB.46.13751
  • [17] A. Jagannathan, H.J. Schulz, Phys. Rev. B 55, 8045 (1997), doi: 10.1103/PhysRevB.55.8045
  • [18] S. Wessel, A. Jagannathan, S. Haas, Phys. Rev. Lett. 90, 177205 (2002), doi: 10.1103/PhysRevLett.90.177205
  • [19] A. Jagannathan, Phys. Rev. Lett. 92, 047202 (2004), doi: 10.1103/PhysRevLett.94.029701

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.bwnjournal-article-appv126n216kz
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