Elastic interactions and superstructures in manganites and other Jahn-Teller systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 13, 2003, Pages

  Khomskii, D I ^a   Kugel, K I ^b  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b INSTITUTE FOR THEORETICAL AND APPLIED ELECTRODYNAMICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

MANGANESE DERIVATIVE;

ANISOTROPY; ARTICLE; CRYSTAL STRUCTURE; ELASTICITY; MATHEMATICAL MODEL; MOLECULAR INTERACTION; REPRODUCIBILITY;

EID: 0038778489     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.134401     Document Type: Article

References (62)

1. J. B. Goodenough, Magnetism and the Chemical Bond (Interscience, New York, 1963).
2. M. D. Kaplan and B. G. Vekhter, Cooperative Phenomena in Jahn-Teller Crystals (Plenum, New York, 1995).
3. K.I. Kugel and D.I. Khomskii, Usp. Fiz. Nauk 136, 621 (1982) [Sov. Phys. Usp. 25, 231 (1982)].
4. D.I. Khomskii and G. Sawatzky, Solid State Commun. 102, 87 (1997).
5. D. I. Khomskii, in Spin Electronics, edited by M. Ziese and M. J. Thornton (Springer, Berlin, 2001), p. 89.
6. P.G. Radaelli, D.E. Cox, L. Capogna, S.-W. Cheong, and M. Marezio, Phys. Rev. B 59, 14 440 (1999).
7. B. Raveau, M. Hervieu, A. Maignan, and C. Martin, J. Mater. Chem. 11, 29 (2001).
8. S. Mori, C.H. Chen, and S.-W. Cheong, Nature (London) 392, 473 (1998).
9. D. Louca and T. Egami, Phys. Rev. B 59, 6193 (1999).
10. D.I. Khomskii, cond-mat/0004034 (unpublished);
11. J. van den Brink and D. Khomskii, Phys. Rev. B 63, 140416 (2001).
12. R. Englman, The Jahn-Teller Effect in Molecules and Crystals (Wiley-Interscience, New York, 1972).
13. R. Englman and B. Halperin, Phys. Rev. B 2, 75 (1970);
14. Phys. Rev. BB. Halperin and R. Englman, 3, 1698 (1971).
15. K.I. Kugel and D.I. Khomskii, Pis’ma Zh. Eksp. Teor. Fiz. 15, 629 (1972) [JETP Lett. 15, 446 (1972)];
16. K.I. KugelD.I. KhomskiiZh. Eksp. Teor. Fiz. 64, 1429 (1993) [Sov. Phys. JETP 37, 725 (1973)].
17. D.I. Khomskii and K.I. Kugel, Europhys. Lett. 55, 208 (2001).
18. D.I. Khomskii, Int. J. Mod. Phys. B 15, 2665 (2001).
19. J. D. Eshelby, in The Continuum Theory of Lattice Defects in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic Press, New York, 1956), Vol. 3, p. 79.
20. M.V. Eremin, A.Yu. Zavidonov, and B.I. Kochelaev, Zh. Éksp. Teor. Fiz. 90, 537 (1986) [Sov. Phys. JETP 63, 312 (1986)].
21. M.A. Ivanov, V.Ya. Mitrofanov, and A.Ya. Fishman, Fiz. Tverd. Tela (Leningrad) 20, 3023 (1978) [Sov. Phys. Solid State 20, 1744 (1978)].
22. J. Kanamori, Jpn. J. Appl. Phys., Suppl. 31, 14S (1960).
23. D. Khomskii and J. van den Brink, Phys. Rev. Lett. 85, 3329 (2000).
24. Y. Yto and J. Akimitsu, J. Phys. Soc. Jpn. 40, 1333 (1976).
25. D.I. Khomskii and K.I. Kugel, Solid State Commun. 13, 763 (1973).
26. M.T. Hutchins, M.J. Fair, P. Day, and P.J. Walker, J. Phys. C 9, L55 (1976).
27. S. Kawano, N. Achiwa, N. Kamegashira, and M. Aoki, J. Phys. (Paris), Colloq. 49, C8-829 (1988).
28. P. Novak, J. Phys. Chem. Solids 30, 2357 (1969);
29. J. Phys. Chem. SolidsP. Novak31, 125 (1970).
30. T. Mizokawa, D.I. Khomskii, and G.A. Sawatzky, Phys. Rev. B 60, 7309 (1999).
31. H. Kawano, R. Kajimoto, M. Kubota, and H. Yoshizawa, Phys. Rev. B 53, 2202 (1996);
32. Phys. Rev. BH. KawanoR. KajimotoM. KubotaH. Yoshizawa53, R14 709 (1996).
33. S. Uhlenbruck, R. Teipen, R. Klingeler, B. Büchner, O. Friedt, M. Hücker, H. Kierspel, T. Niemöller, L. Pinsard, A. Revcolevschi, and R. Gross, Phys. Rev. Lett. 82, 185 (1999).
34. Y. Yamada, O. Hino, S. Nohdo, R. Kanao, T. Inami, and S. Katano, Phys. Rev. Lett. 77, 904 (1996).
35. T. Mizokawa, D.I. Khomskii, and G.A. Sawatzky, Phys. Rev. B 61, R3776 (2000).
36. R. Kilian and G. Khaliullin, Phys. Rev. B 60, 13 458 (1999).
37. T. Mizokawa, D.I. Khomskii, and G.A. Sawatzky, Phys. Rev. B 63, 024403 (2001).
38. K.H. Ahn and A.J. Millis, Phys. Rev. B 58, 3697 (1998).
39. T. Inami, N. Ikeda, Y. Murakami, I. Koyama, Y. Wakabayashi, and Y. Yamada, Jpn. J. Appl. Phys., Suppl. 38-1, 212 (1999).
40. Y. Endoh, K. Hirota, S. Ishihara, S. Okamoto, Y. Murakami, A.T. Niemoller, M. von Zimmermann, S. Uhlenbruck, O. Friedt, B. Buchner, T. Frello, N.H. Anderson, P. Berthet, L. Pinsard, A.M. De Leon-Guevara, A. Revcolevschi, and J.R. Schneider, Eur. Phys. J. B 8, 5 (1999).
41. D.E. Cox, T. Iglesias, E. Moshopoulou, K. Hirota, K. Takahashi, and Y. Endoh, Phys. Rev. B 64, 024431 (2001).
42. Y. Yamada, J. Suzuki, K. Oikawa, S. Katano, and J.A. Fernandez-Baca, Phys. Rev. B 62, 11 600 (2000).
43. Y. Tomioka, A. Asamitsu, H. Kuwahara, Y. Moritomo, and Y. Tokura, Phys. Rev. B 53, 1689 (1996).
44. Z. Jirák, S. Krupička, Z. Šimša, M. Dlouhá, and S. Vratislav, J. Magn. Magn. Mater. 53, 153 (1985).
45. T. Hotta, A. Feiguin, and E. Dagotto, Phys. Rev. Lett. 86, 4922 (2001).
46. M.v. Zimmermann, C.S. Nelson, J.P. Hill, D. Gibbs, M. Blume, D. Casa, B. Keimer, Y. Murakami, C.-C. Kao, C. Venkataraman, T. Gog, Y. Tomioka, and Y. Tokura, Phys. Rev. B 64, 195133 (2001).
47. E.O. Wollan and W.C. Koehler, Phys. Rev. 100, 545 (1955).
48. J. van den Brink, G. Khaliullin, and D. Khomskii, Phys. Rev. Lett. 83, 5118 (1999).
49. A. G. Khachaturyan, Theory of Phase Transformations and the Structure of Solid Solutions (Nauka, Moscow, 1974).
50. E. Dagotto and A. Moreo, Phys. Rev. Lett. 63, 2148 (1989).
51. M.Yu. Kagan, K.I. Kugel, and D.I. Khomskii, Zh. Éksp. Teor. Fiz. 120, 470 (2001) [JETP 93, 415 (2001)];
52. M.Yu. KaganK.I. KugelD.I. Khomskiicond-mat/0001245 (unpublished).
53. P.G. Radaelli, D.E. Cox, M. Marezio, and S.-W. Cheong, Phys. Rev. B 55, 3015 (1997).
54. J.P. Hill, C.S. Nelson, M.v. Zimmermann, Y.-J. Kim, D. Gibbs, D. Casa, B. Keimer, Y. Murakami, C. Venkataraman, T. Gog, Y. Tomioka, Y. Tokura, V. Kiryukhin, T.Y. Koo, and S.-W. Cheong, Appl. Phys. A: Mater. Sci. Process. 73, 723 (2001);
55. J.P. HillC.S. NelsonM.v. ZimmermannY.-J. KimD. GibbsD. CasaB. KeimerY. MurakamiC. VenkataramanT. GogY. TomiokaY. TokuraV. KiryukhinT.Y. KooS.-W. Cheongcond-mat/0105064 (unpublished).
56. The conclusion that the choice between single and paired stripes depends on a fine tuning of parameters was also reached in a somewhat different model by T. Hotta, Y. Takada, H. Koizumi, and E. Dagotto, Phys. Rev. Lett. 84, 2477 (2000).
57. K.I. Kugel and D.I. Khomskii, Fiz. Tverd. Tela (Leningrad) 15, 2230 (1973) [Sov. Phys. Solid State 15, 1490 (1973)].
58. Y. Moritomo, H. Kuwahara, Y. Tomioka, and Y. Tokura, Phys. Rev. B 55, 7549 (1997).
59. J. van den Brink, G. Khaliullin, and D. Khomskii, in Colossal Magnetoresistive Manganites, edited by T. Chatterji (Kluwer Academic, Dordrecht, The Netherlands, 2003);
60. J. van den Brink, G. Khaliullin, and D. Khomskii, cond-mat/0206053 (unpublished).
61. A.I. Liechtenstein, V.I. Anisimov, and J. Zaanen, Phys. Rev. B 52, R5467 (1995).
62. D.I. Khomskii and K.I. Kugel, cond-mat/0112340 (unpublished).