Charge ordering in half-doped (formula presented) under a magnetic field

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 17, 2002, Pages 1-6

  Yuan, Qingshan ^a,b   Kopp, Thilo ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b TONGJI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038289707     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.174423     Document Type: Article

References (66)

1. For reviews, see M.B. Salamon and M. Jaime, Rev. Mod. Phys. 73, 583 (2001);
2. A.P. Ramirez, J. Phys.: Condens. Matter 9, 8171 (1997);
3. J.M.D. Coey, M. Viret, and S. von Molnar, Adv. Phys. 48, 167 (1999);
4. W. Prellier, Ph. Lecoeur, and B. Mercey, J. Phys.: Condens. Matter 13, R915 (2001).
5. R. Maezono, S. Ishihara, and N. Nagaosa, Phys. Rev. B 58, 11 583 (1998).
6. A.J. Millis, Nature (London) 392, 147 (1998);
7. A.J. Millis, R. Mueller, and B.I. Shraiman, Phys. Rev. B 54, 5405 (1996).
8. P. Horsch, J. Jaklič, and F. Mack, Phys. Rev. B 59, 6217 (1999);
9. Phys. Rev. BR. Kilian and G. Khaliullin, 58, R11 841 (1998);
10. Phys. Rev. BR. KilianG. Khaliullin60, 13 458 (1999).
11. C.N.R. Rao, A. Arulraj, A.K. Cheetham, and B. Raveau, J. Phys.: Condens. Matter 12, R83 (2000).
12. M. Imada, A. Fujimori, and Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998).
13. W. Prellier, A.M. Haghiri-Gosnet, B. Mercey, Ph. Lecoeur, M. Hervieu, Ch. Simon, and B. Raveau, Appl. Phys. Lett. 77, 1023 (2000).
14. W. Prellier, Ch. Simon, A.M. Haghiri-Gosnet, B. Mercey, and B. Raveau, Phys. Rev. B 62, R16 337 (2000).
15. Y. Ogimoto, M. Izumi, T. Manako, T. Kimura, Y. Tomioka, M. Kawasaki, and Y. Tokura, Appl. Phys. Lett. 78, 3505 (2001).
16. A. Biswas, M. Rajeswari, R.C. Srivastava, T. Venkatesan, R.L. Greene, Q. Lu, A.L. de Lozanne, and A.J. Millis, Phys. Rev. B 63, 184424 (2001).
17. E. Rauwel Buzin, W. Prellier, Ch. Simon, S. Mercone, B. Mercey, and B. Raveau, Appl. Phys. Lett. 79, 647 (2001).
18. Y. Tokura and N. Nagaosa, Science 288, 462 (2000).
19. Y. Tomioka, A. Asamitsu, H. Kuwahara, Y. Moritomo, and Y. Tokura, Phys. Rev. B 53, R1689 (1996).
20. M. Tokunaga, N. Miura, Y. Tomioka, and Y. Tokura, Phys. Rev. B 57, 5259 (1998).
21. M. Respaud, A. Llobet, C. Frontera, C. Ritter, J.M. Broto, H. Rakoto, M. Goiran, and J.L. García-Muñoz, Phys. Rev. B 61, 9014 (2000);
22. Phys. Rev. BF. Millange, S. de Brion, and G. Chouteau, 62, 5619 (2000).
23. From Refs. 14 and 15, a tiny reentrant behavior is visible for bulk (formula presented), which, however, has no consequence to the theoretical results shown later.
24. Z. Jirák, S. Krupička, Z. Šimša, M. Dlouhá, and S. Vratislav, J. Magn. Magn. Mater. 53, 153 (1985).
25. Y. Tomioka, A. Asamitsu, H. Kuwahara, and Y. Tokura, J. Phys. Soc. Jpn. 66, 302 (1997).
26. D. Khomskii, Physica B 280, 325 (2000).
27. M.Yu. Kagan, K.I. Kugel, and D.I. Khomskii, Zh. Eksp. Teor. Fiz. 120, 470 (2001), [JETP 93, 415 (2001)].
28. T. Kimura, R. Kumai, Y. Tokura, J.Q. Li, and Y. Matsui, Phys. Rev. B 58, 11 081 (1998);
29. Phys. Rev. BJ.Q. Li, Y. Matsui, T. Kimura, and Y. Tokura, 57, R3205 (1998).
30. T. Chatterji, G.J. McIntyre, W. Caliebe, R. Suryanarayanan, G. Dhalenne, and A. Revcolevschi, Phys. Rev. B 61, 570 (2000).
31. J. Dho, W.S. Kim, H.S. Choi, E.O. Chi, and N.H. Hur, J. Phys.: Condens. Matter 13, 3655 (2001).
32. J.Q. Li, C. Dong, L.H. Liu, and Y.M. Ni, Phys. Rev. B 64, 174413 (2001).
33. Q. Yuan and P. Thalmeier, Phys. Rev. Lett. 83, 3502 (1999).
34. W. Koshibae, Y. Kawamura, S. Ishihara, S. Okamoto, J. Inoue, and S. Maekawa, J. Phys. Soc. Jpn. 66, 957 (1997).
35. S.K. Mishra, R. Pandit, and S. Satpathy, Phys. Rev. B 56, 2316 (1997).
36. J.D. Lee and B.I. Min, Phys. Rev. B 55, R14 713 (1997).
37. U. Yu, Yu.V. Skrypnyk, and B.I. Min, Phys. Rev. B 61, 8936 (2000).
38. T. Mutou and H. Kontani, Phys. Rev. Lett. 83, 3685 (1999).
39. G. Jackeli, N.B. Perkins, and N.M. Plakida, Phys. Rev. B 62, 372 (2000).
40. J.R. Cullen and E.R. Callen, Phys. Rev. B 7, 397 (1973).
41. J. van den Brink, G. Khaliullin, and D. Khomskii, Phys. Rev. Lett. 83, 5118 (1999);
42. Phys. Rev. Lett.J. van den BrinkG. KhaliullinD. Khomskii86, 5843 (2001);
43. Phys. Rev. Lett.S.Q. Shen, 86, 5842 (2001).
44. I.V. Solovyev and K. Terakura, Phys. Rev. Lett. 83, 2825 (1999).
45. S. Yunoki, T. Hotta, and E. Dagotto, Phys. Rev. Lett. 84, 3714 (2000).
46. T. Hotta, A.L. Malvezzi, and E. Dagotto, Phys. Rev. B 62, 9432 (2000).
47. J.Q. Li, M. Uehara, C. Tsuruta, Y. Matsui, and Z.X. Zhao, Phys. Rev. Lett. 82, 2386 (1999).
48. G.M. Zhao, K. Ghosh, and R.L. Greene, J. Phys.: Condens. Matter 10, L737 (1998);
49. G.M. Zhao, K. Ghosh, H. Keller, and R.L. Greene, Phys. Rev. B 59, 81 (1999).
50. The polaronic carriers were also confirmed in extensive non-CO states of doped manganites, see A.S. Alexandrov, G.M. Zhao, H. Keller, B. Lorenz, Y.S. Wang, and C.W. Chu, Phys. Rev. B 64, 140404(R) (2001) and references therein.
51. H. Röder, J. Zang, and A.R. Bishop, Phys. Rev. Lett. 76, 1356 (1996).
52. A.C.M. Green, Phys. Rev. B 63, 205110 (2001).
53. Apparently, a more complicated model is needed to account for the “in-phase” order along the z axis, which is beyond the scope of this paper.
54. A.S. Alexandrov and A.M. Bratkovsky, J. Phys.: Condens. Matter 11, 1989 (1999).
55. J.D. Lee and B.I. Min, Phys. Rev. B 55, 12 454 (1997).
56. W. Prellier (private communication).
57. G.M. Zhao, V. Smolyaninova, W. Prellier, and H. Keller, Phys. Rev. Lett. 84, 6086 (2000).
58. The transition temperature is quantitatively overestimated by the MF theory. And it may be again corrected by the incoherent processes, i.e., phonon states are altered when an electron hops [G.D. Mahan, Many Particle Physics (Plenum, New York, 1990), Sec. 6.2], which are ignored in the derivation of Eq. (2) and become notable at high temperatures.
59. F. Gebhard, The Mott Metal-Insulator Transition (Springer-Verlag, Berlin, 1997), p. 218.
60. As a similar example, the 2D half-filled Hubbard model has AFM ground state for arbitrarily small on-site interaction.
61. The proof is obvious if three properties of the right-hand side of Eq. (3) are noticed (the (formula presented) factor is removed at (formula presented): (i). It is divergent at (formula presented). (ii). It decreases monotonically with increasing x. (iii). It is always lower than the function (formula presented), which gives (formula presented) at (formula presented).
62. For real quantification, it would be better to first elaborate the formulas such as Eq. (3).
63. For example, the change of t in thin films due to purely geometric factors is discussed in Q. Yuan, (unpublished).
64. See also L.J. Zou, Q.Q. Zheng, and H.Q. Lin, Phys. Rev. B 56, 13 669 (1997).
65. G. Allodi, R. De Renzi, F. Licci, and M.W. Pieper, Phys. Rev. Lett. 81, 4736 (1998);
66. F. Dupont, F. Millange, S. de Brion, A. Janossy, and G. Chouteau, Phys. Rev. B 64, 220403(R) (2001).