Ising spin orders conforming to local matching rule and long-range regularity of interactions in Penrose lattice

Journal of the Physical Society of Japan

Volumn 74, Issue 3, 2005, Pages 1036-1043

  Matsuo, Susumu ^a   Nakano, Hiroshi ^b   Motomura, Senni ^a   Ishimasa, Tsutomu ^c  

^a NAGOYA UNIVERSITY   (Japan)

^b KUMAMOTO UNIVERSITY   (Japan)

^c HOKKAIDO UNIVERSITY   (Japan)

Author keywords

Antiferromagnetic order; Connectivity of interaction signs; Matching rule; Occupation domain; Penrose lattice; Quasicrystal

Indexed keywords

EID: 24644482516     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.74.1036     Document Type: Article

References (32)

1. R. Penrose: Math. Intell. 2 (1979) 32.
2. D. Shechtman, I. Blech, D. Gratias and J. W. Cahn: Phys. Rev. Lett. 53 (1984) 1951.
3. A. P. Tsai: Physical Properties of Quasicrystals (Springer, Berlin, 1999) p. 5.
4. Y. Ogawa: J. Phys. Soc. Jpn. 54 (1985) 3205.
5. M. Duneau and A. Katz: Phys. Rev. Lett. 54 (1985) 2688.
6. V. Elser: Phys. Rev. B 32 (1985) 4892.
7. A. Yamamoto and K. N. Ishihara: Acta Crystallogr., Sect. A 44 (1988) 707.
8. B. Charrier, B. Ouladdiaf and D. Schmitt: Phys. Rev. Lett. 78 (1997) 4637.
9. I. R. Fisher, K. O. Cheon, A. F. Panchula, P. C. Canfield, M. Chernikov, H. R. Ott and K. Dennis: Phys. Rev. B 59 (1999) 308.
10. T. J. Sato, H. Takakura, A. P. Tsai, K. Shibata, K. Ohoyama and K. H. Andersen: Phys. Rev. B 61 (2000) 476.
11. R. W. Reid, S. K. Bose and B. Metrovic: J. Phys.: Condens. Matter 10 (1998) 2303.
12. D. Ledue, J. Teillet, J. Carnet and J. Dujardin: J. Non-Cryst. Solids 153-154 (1993) 403.
13. U. Grimm and M. Baake: in Aperiodic Ising Models in The Mathematics of Long-Range Aperiodic Order, ed. R. V. Moody (Kluwer Academic, Dordrecht, 1997) p. 199.
14. Y. Okabe and K. Niizeki: J. Phys. Soc. Jpn. 57 (1988) 16.
15. Y. Okabe and K. Niizeki: J. Phys. Soc. Jpn. 57 (1988) 1536.
16. J. Oitmaa, M. Aydin and M. J. Johnson: J. Phys. A 23 (1990) 4537.
17. S. Matsuo, T. Ishimasa and H. Nakano: Mater. Res. Soc. Symp. Proc. 553 (1999) 427.
18. S. Matsuo, T. Ishimasa and H. Nakano: Mater. Sci. Eng. 294-296 (2000) 633.
19. S. Matsuo, T. Ishimasa and H. Nakano: J. Magn. Magn. Mater. 246 (2002) 223.
20. S. Matsuo, T. Ishimasa and H. Nakano: J. Non-Cryst. Solids 334-335 (2004) 421.
21. B. Sutherland: Phys. Rev. B 34 (1986) 3904.
22. P. Repetowicz, U. Grimm and M. Schreiber: Phys. Rev. B 58 (1998) 13482.
23. E. Cockayne and M. Widom: Phys. Rev. Lett. 20 (1998) 598.
24. M. Widom, I. Al-Leyani, Yang Wang and E. Cockayne: Mater. Sci. Eng. 294-296 (2000) 295.
25. I. Al-Lehyani and M. Widom: Phys. Rev. 67 (2003) 014204.
26. K. Niizeki: J. Phys. A 23 (1990) L1069.
27. R. R. White: Quantum Theory of Magnetism (Springer-Verlag, Berlin, 1983) Chap. 8.
28. I. R. Fisher, Z. Islam, A. F. Panchula, K. O. Cheon, M. J. Kramer, P. C. Canfield and A. I. Goldman: Philos. Mag. B 77 (1998) 1601.
29. S. Roche and D. Mayou: Phys. Rev. B 60 (1999) 322.
30. S. Kirkpatrick, C. D. Gelatt and M. P. Vecchi: Science 220 (1983) 671.
31. W. H. Press, S. A. Teukolski, W. T. Vetterling and B. P. Flannery: Numerical Recipes in C (Cambridge University Press, Cambridge, 1996) 2nd ed., p. 280.
32. M. Baake, P. Kramer, M. Schlottmann and D. Zeidler: Int. J. Mod. Phys. 4 (1990) 2217.