Non-stripe charge order in the θ-phase organic conductors

Journal of the Physical Society of Japan

Volumn 72, Issue 6, 2003, Pages 1469-1475

  Mori, Takehiko ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Charge order; Extended hubbard model; Mean field approximation

Indexed keywords

COBALT; RUBIDIUM; TETRATHIAFULVALENE DERIVATIVE; ZINC;

ARTICLE; CONDUCTOR; MODEL; MOLECULAR STABILITY; NUCLEAR MAGNETIC RESONANCE; PHASE TRANSITION; TEMPERATURE DEPENDENCE; X RAY;

EID: 0043168004     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.72.1469     Document Type: Article

References (41)

1. H. Mori, S. Tanaka, T. Mori and Y. Maruyama: Bull. Chem. Soc. Jpn. 68 (1995) 1136.
2. H. Mori, S. Tanaka and T. Mori: Mol. Cryst. Liq. Cryst. 284 (1996) 15.
3. H. Mori, S. Tanaka and T. Mori: Phys. Rev. B 57 (1998) 12023.
4. T. Mori, H. Mori and S. Tanaka: Bull. Chem. Soc. Jpn. 72 (1999) 179.
5. H. Kino and H. Fukuyama: J. Phys. Soc. Jpn. 64 (1995) 1877; H. Kino and H. Fukuyama: ibid. 64 (1995) 2726; H. Kino and H. Fukuyama: ibid. 64 (1995) 4523; H. Kino and H. Fukuyama: ibid. 65 (1996) 2158; H. Seo and H. Fukuyama: ibid. 66 (1997) 3352; H. Seo and H. Fukuyama: ibid. 67 (1998) 1848.
6. H. Kino and H. Fukuyama: J. Phys. Soc. Jpn. 64 (1995) 1877; H. Kino and H. Fukuyama: ibid. 64 (1995) 2726; H. Kino and H. Fukuyama: ibid. 64 (1995) 4523; H. Kino and H. Fukuyama: ibid. 65 (1996) 2158; H. Seo and H. Fukuyama: ibid. 66 (1997) 3352; H. Seo and H. Fukuyama: ibid. 67 (1998) 1848.
7. H. Kino and H. Fukuyama: J. Phys. Soc. Jpn. 64 (1995) 1877; H. Kino and H. Fukuyama: ibid. 64 (1995) 2726; H. Kino and H. Fukuyama: ibid. 64 (1995) 4523; H. Kino and H. Fukuyama: ibid. 65 (1996) 2158; H. Seo and H. Fukuyama: ibid. 66 (1997) 3352; H. Seo and H. Fukuyama: ibid. 67 (1998) 1848.
8. H. Kino and H. Fukuyama: J. Phys. Soc. Jpn. 64 (1995) 1877; H. Kino and H. Fukuyama: ibid. 64 (1995) 2726; H. Kino and H. Fukuyama: ibid. 64 (1995) 4523; H. Kino and H. Fukuyama: ibid. 65 (1996) 2158; H. Seo and H. Fukuyama: ibid. 66 (1997) 3352; H. Seo and H. Fukuyama: ibid. 67 (1998) 1848.
9. H. Kino and H. Fukuyama: J. Phys. Soc. Jpn. 64 (1995) 1877; H. Kino and H. Fukuyama: ibid. 64 (1995) 2726; H. Kino and H. Fukuyama: ibid. 64 (1995) 4523; H. Kino and H. Fukuyama: ibid. 65 (1996) 2158; H. Seo and H. Fukuyama: ibid. 66 (1997) 3352; H. Seo and H. Fukuyama: ibid. 67 (1998) 1848.
10. H. Kino and H. Fukuyama: J. Phys. Soc. Jpn. 64 (1995) 1877; H. Kino and H. Fukuyama: ibid. 64 (1995) 2726; H. Kino and H. Fukuyama: ibid. 64 (1995) 4523; H. Kino and H. Fukuyama: ibid. 65 (1996) 2158; H. Seo and H. Fukuyama: ibid. 66 (1997) 3352; H. Seo and H. Fukuyama: ibid. 67 (1998) 1848.
11. H. Seo: J. Phys. Soc. Jpn. 69 (2000) 805.
12. V. J. Emery, S. A. Kivelson and J. M. Tranquada: Proc. Natl. Acad. Sci. USA 96 (1999) 8814.
13. R. Chiba, H. Yamamoto, K. Hiraki, T. Takahashi and T. Nakamura: J. Phys. Chem. Solids 62 (2001) 389; R. Chiba, H. Yamamoto, K. Hiraki, T. Takahashi and T. Nakamura: Synth. Metals 120 (2001) 919.
14. R. Chiba, H. Yamamoto, K. Hiraki, T. Takahashi and T. Nakamura: J. Phys. Chem. Solids 62 (2001) 389; R. Chiba, H. Yamamoto, K. Hiraki, T. Takahashi and T. Nakamura: Synth. Metals 120 (2001) 919.
15. K. Miyagawa, A. Kawamoto and K. Kanoda: Phys. Rev. B 62 (2000) R7679.
16. H. Mori, S. Tanaka, T. Mori, A. Kobayashi and H. Kobayashi: Bull. Chem. Soc. Jpn. 71 (1998) 797.
17. H. Tajima, S. Kyoden, H. Mori and S. Tanaka: Phys. Rev. B 62 (2000) 9378.
18. T. Mori: Bull. Chem. Soc. Jpn. 73 (2000) 2243.
19. Spin polarization, namely difference of up and down spin distribution, diminishes the effect of U, but the spin polarization is suppressed by the first kinetic term of eq. (1.1), namely by the bandwidth, W. Within the framework of the simple Stoner model, the spin polarization takes place when U > W, and U is replaced by W in the present phase diagrams. In this case, the critical point of the charge order is given by V/W instead of V/U.12) The competition between V and W is the actual driving force which determines the universal phase diagram of the θ-phase. It is characteristic of these quarter-filled systems that the freedom of charge order is separated from the spin polarization.
20. M. Watanabe, Y. Noda, Y. Nogami and H. Mori: to be published in Synth. Met. 135-136 (2003) 665.
21. K. Inagaki, I. Terasaki and H. Mori: to be published Proc. LT23, Hiroshima.
22. c are discussed, whereas b is neglected. As a result, in Fig. 6(c), s goes up to one around T = 0 K. In the real systems, b suppresses s to a fractional value. The b values may be different between even and uneven patterns.
23. T. Mori, M. Katsuhara, S. Kimura, Y. Misaki and K. Tanaka: to be published in Synth. Met.
24. T. Mori, F. Sakai, G. Saito and H. Inokuchi: Chem. Lett. (1987) 927.
25. H. Mori, M. Kamiya, M. Haemori, H. Suzuki, S. Tanaka, Y. Nishio, K. Kajita and H. Moriyama: J. Am. Chem. Soc. 124 (2002) 1251.
26. M. Watanabe, Y. Nogami, K. Oshima, H. Mori and S. Tanaka: J. Phys. Soc. Jpn. 68 (1999) 2654; T. Nakamura, W. Minagawa, R. Kinami and T. Takahashi: ibid. 69 (2000) 504.
27. M. Watanabe, Y. Nogami, K. Oshima, H. Mori and S. Tanaka: J. Phys. Soc. Jpn. 68 (1999) 2654; T. Nakamura, W. Minagawa, R. Kinami and T. Takahashi: ibid. 69 (2000) 504.
28. q = V′ is also examined. The resulting phase diagram is basically the same as Fig. 5, except that the 3 × 1 and 3 × 3 phases lose the stable region.
29. B. D. Metcalf: Phys. Lett. A 46 (1974) 325;
30. Y. Tanaka and N. Uryu: J. Phys. Soc. Jpn. 39 (1975) 825.
31. In the triangular Ising model, the 2 × 2 phase has a stable area between the uniform (ferromagnetic) and the diagonal (2 × 1) phases.22) In the present model, the 2 × 2 phase has the same energy only on the boundary of these phases (4V + 4V′ = U).
32. R. T. Clay, S. Mazumdar and D. K. Campbell: J. Phys. Soc. Jpn. 71 (2002) 1816.
33. For example, R. Kubo: Statistical Mechanics (Kyoritsu, Tokyo, 1952) Chap. 6D.
34. K. Nakanishi: J. Phys. Soc. Jpn. 52 (1983) 2449; K. Nakanishi and H. Shiba: ibid. 51 (1982) 2089.
35. K. Nakanishi: J. Phys. Soc. Jpn. 52 (1983) 2449; K. Nakanishi and H. Shiba: ibid. 51 (1982) 2089.
36. Y. Takano, K. Hiraki, H. M. Yamamoto, T. Nakamura and T. Takahashi: J. Phys. Chem. Solids 62 (2001) 393; Y. Takano, K. Hiraki, H. M. Yamamoto, T. Nakamura and T. Takahashi: Synth. Met. 120 (2001) 1081.
37. Y. Takano, K. Hiraki, H. M. Yamamoto, T. Nakamura and T. Takahashi: J. Phys. Chem. Solids 62 (2001) 393; Y. Takano, K. Hiraki, H. M. Yamamoto, T. Nakamura and T. Takahashi: Synth. Met. 120 (2001) 1081.
38. D. S. Chow, F. Zamborszky, B. Alavi, D. J. Tantillo, A. Baur, C. A. Merlic and S. E. Brown: Phys. Rev. Lett. 85 (2000) 1698; F. Nad, P. Monceau, C. Carcel and J. M. Fabre: Phys. Rev. B 62 (2000) 1753.
39. D. S. Chow, F. Zamborszky, B. Alavi, D. J. Tantillo, A. Baur, C. A. Merlic and S. E. Brown: Phys. Rev. Lett. 85 (2000) 1698; F. Nad, P. Monceau, C. Carcel and J. M. Fabre: Phys. Rev. B 62 (2000) 1753.
40. T. Yamamoto, H. Tajima, J. Yamaura, R. Kato, M. Uruichi and K. Yakushi: J. Phys. Soc. Jpn. 71 (2002) 1956.
41. K. Hiraki and K. Kanoda: Phys. Rev. Lett. 80 (1998) 4737.