Electronic structure of quasicrystals

Current Opinion in Solid State and Materials Science

Volumn 4, Issue 3, 1999, Pages 289-294

  Hafner, J ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008806970     PISSN: 13590286     EISSN: None     Source Type: Journal    
DOI: 10.1016/s1359-0286(99)00039-x     Document Type: Article

References (52)

1. Shechtman D., Blech I., Gratias D., Cahn J.W. Metallic phase with long-range orientational order and no translational symmetry. Phys. Rev. Lett. 53:1984;1951-1954.
2. Levine D., Steinhardt P.J. Quasicrystals: A new class of ordered structures. Phys. Rev. Lett. 53:1984;2477-2480.
3. Steinhardt PJ, Ostlund S. (Editors). The physics of quasicrystals. World Scientific, Singapore.
4. Janot C. Quasicrystals: A primer, 2nd ed. Oxford University Press, Oxford.
5. Steurer W., Haibach T. Crystallography of quasicrystals. Stadnik Z.M. Physical properties of quasicrystals. 1998;51-90 Springer, Berlin.
6. Boudard M., de Boissieu M. Experimental determination of the structure of quasicrystals. Stadnik Z.M. Physical properties of quasicrystals. 1998;91-126 Springer, Berlin.
7. 32. Philos. Mag. B 53, L59-L65.
8. Krajčí M., Windisch M., Hafner J., Kresse G., Mihalkovč M. Atomic and electronic structure of icosahedral Al-Pd-Mn and of approximant phases. Phys. Rev. B. 51:1995;17355-17378.
9. Edagawa K., Suzuki K., Ichihara M., Takeuchi S. Structure of a higher-order icosahedral approximant phase in the Mg-Ga-Al-Zn system. Philos. Mag. Lett. 64:1991;95-103.
10. Mukopadhyay N.K., Isihara K., Ranaganathan S., Chattopadhyay K. Rational approximant structures and phason strain in icosahedral quasicrystalline phases. Acta Metall. Mater. 39:1991;1151-1159.
11. Kohmoto M., Sutherland B., Tang C. Critical wavefunctions and a Cantor-spectrum of a one-dimensional quasicrystal model. Phys. Rev. B. 35:1987;1020-1028.
12. Tsunetsugu H., Fujiwara T., Ueda K., Tokihiro T. Eigenstates in two-dimensional Penrose tiling. J. Phys. Soc. Japan. 55:1986;1420-1427.
13. Sire C. Properies of quasiperiodic Hamiltonians: Spectra, wavefunctions and transport. Hippert F., Gratias D. Lectures on quasicrystals. 1994;505 Les Editions de Physique, Les Ulis.
14. Pierce F.S., Poon S.J., Guo Q. Enhanced insulatorlike electron transport behavior of thermally tuned quasicrystalline states of Al-Pd-Re alloys. Phys. Rev. Lett. 73:1993;2220-2223.
15. Gignoux C., Berger C., Fourcaudot G., Grieco J.C., Rakoto H. Indications for a metal-insulator transition in i-AlPdPe. Europhys. Lett. 39:1997;171-176.
16. Rapp Ö. Electronic transport properties of quasicrystals - Experimental results. Stadnik Z.M. Physical properties of quasicrystals. 1998;127-168 Springer, Berlin.
17. Mizutani U. Electronic properties of liquid, amorphous and quasicrystalline alloys. Cahn R.W., Haasen P., Kramer E.J. Materials science and technology. 3B:1994;97 Verlag Chemie, Weinheim.
18. 10. Janot C., Mosseri R. Proc. 5th Intern. Conference on Quasicrystals. 1995;592-595 World Scientific, Singapore.
19. Biggs B.D., Poon S.J., Munirathnam N.R. Stable Al-Cu-Ru quasicrystals: A new class of eletronic alloys. Phys. Rev. Lett. 65:1990;2700-2703.
20. 15 decagonal quasicrystals. Phys. Rev. Lett. 67:1991;719-722.
21. Fukamichi K. Magnetic properties of quasicrystals. Stadnik Z.M. Physical properies of quasicrystals. 1998;295-326 Springer, Berlin.
22. Baneel P.A., Heiney P.A. Icosahedral aluminium-transition-metal alloys. Phys. Rev. B. 33:1986;7917-7922.
23. Smith A.P., Ashcroft N.W. Pseudopotentials and quasicrystals. Phys. Rev. Lett. 59:1987;1365-1368.
24. Sutherland B., Kohmoto M. Resistance of a one-dimensional quasicrystal: Power-law growth. Phys. Rev. B. 36:1997;5877-5886.
25. Krajčí M., Fujiwara T. Strictly localized eigenstates on a three-dimensional Penrose lattice. Phys. Rev. B. 38:1988;12903-12907.
26. Tsunetsugu H., Fujiwara T., Ueda K., Tokihiro T. Electronic properties of the Penrose lattice: I. Energy spectrum and wavefunctions. Phys. Rev. B. 43:1991;8879-8891.
27. Tsunetsugu H., Ueda K. Electronic properties of the Penrose lattice: II. Conductance at zero temperature. Phys. Rev. B. 43:1991;8892-8902.
28. Rieth T., Schreiber M. Identification of spatially confined states in two-dimensional quasiperiodic lattices. Phys. Rev. B. 51:1995;15827-15832.
29. Rieth T., Schreiber M. Numerical investigation of electronic wavefunctions in quasiperiodic lattices. J. Phys. Condens. Matter. 10:1998;783-799.
30. Ueda K., Tsunetsugu H. Energy spectrum and conductance of a two-dimensional quasicrystal. Phys. Rev. Lett. 58:1987;1272-1275.
31. Ashraff J.A., Luck J.M., Stinchcombe R.B. Dynamical properties of two-dimensional quasicrystals. Phys. Rev. B. 41:1990;4314-4329.
32. Fujiwara T., Mitsui T., Yamamoto S. Scaling properties of wavefunctions and transport properties in quasicrystals. Phys. Rev. B. 53:1996;2910-2913.
33. Krajčí M., Hafner J. Electronic structure of quasicrystalline Al-Mg-Zn alloys and related crystalline, amorphous and liquid phases. Phys. Rev. B. 47:1993;10995-11115.
34. Fujiwara T, Theory of electronic structure in quasicrystals; Hafner J, Krajčí M, Elementary excitations and physical properties; Stadnik ZM: Spectroscopic studies of the electronic structure; in Physical properties of quasicrystals, edited by Stadnik ZM (Springer, Berlin 1998).
35. Fujiwara T, Theory of electronic structure in quasicrystals; Hafner J, Krajčí M, Elementary excitations and physical properties; Stadnik ZM: Spectroscopic studies of the electronic structure; in Physical properties of quasicrystals, edited by Stadnik ZM (Springer, Berlin 1998).
36. Fujiwara T, Theory of electronic structure in quasicrystals; Hafner J, Krajčí M, Elementary excitations and physical properties; Stadnik ZM: Spectroscopic studies of the electronic structure; in Physical properties of quasicrystals, edited by Stadnik ZM (Springer, Berlin 1998).
37. Andersen O.K., Jepsen O., Šob M. Linearized band structure methods. Yussouff M. Electronic band structure and its applications. 1987;1-35 Springer, Berlin.
38. Fujiwara T., Yokokawa T. Universal pseudogap at the Fermi energy in quasicrystals. Phys. Rev. Lett. 66:1991;333-336.
39. Hafner J., Krajčí M. Electronic structure and stability of quasicrystals: quasiperiodic dispersion relations and pseudogaps. Phys. Rev. Lett. 68:1992;2321-2324.
40. Niizeki K. A classification of special points of icosahedral quasilattices. J. Phys. A. 22:1989;4295-4302.
41. Windisch M., Hafner J., Krajčí M., Mihalkovic M. Structure and lattice dynamics of rational approximants to icosahedral Al-Cu-Li. Phys. Rev. B. 49:1994;8701-8717.
42. Goldman A.I., Stassis C., de Boissieu M., Currat R., Janot C., Bellissent R., Moudden H., Gayle F.W. Phonons in icosahedral and cubic Al-Li-Cu. Phys. Rev. B. 45:1992;10280-10291.
43. Trambly de Laissardière G., Fujiwara T. Electronic structure in a model approximant of the icosahedral quasicrystal Al-Cu-Fe. Phys. Rev. B. 50:1994;5999-6008.
44. Krajčí M., Hafner J. Metal-insulator transition in approximants to icosahedral Al-Pd-Re. Phys. Rev. B. 59:1999;8347-8350.
45. 15. Z. Phys. B. 97:1995;439-452.
46. Belin E., Dankhazi Z., Sadoc A., Dubois J.M. Electronic distributions in quasicrystalline Al-Pd-Mn alloys. J. Phys. Condens. Matter. 6:1994;8771-8779.
47. Krajčí M., Hafner J., Mihalkovič M. Atomic and eletronic structure of decagonal Al-Pd-Mn alloys and of related approximant phases. Phys. Rev. B. 55:1997;843-855.
48. Trambly de Laissardière G., Fujiwara T. Electronic structure and transport in a model approximant of the decagonal quasicrystal Al-Cu-Co. Phys. Rev. B. 50:1994;9843-9850.
49. Krajčí M., Hafner J., Mihalkovič M. Electronic structure and transport properties of decagonal Al-Cu-Co alloys. Phys. Rev. B. 56:1997;3072-3085.
50. Krajčí M, Hafner J. Atomic and electronic structure of decagonal Al-Ni-Co alloys and approximant phases. Phys. Rev. B, in press.
51. Hafner J., Krajčí M. Formation of magnetic moments in crystalline, quasicrystalline and liquid Al-Mn alloys. Phys. Rev B. 57:1998;2849-2860.
52. Krajčí M., Hafner J. Isolated magnetic moments in icosahedral Al-Pd-Mn alloys. Phys. Rev. B. 58:1998;14110-14112.