Entangled spin-orbital phases in the bilayer Kugel-Khomskii model

Physical Review B - Condensed Matter and Materials Physics

Volumn 83, Issue 21, 2011, Pages

  Brzezicki, Wojciech ^a   Oleś, Andrzej M ^a,b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961132426     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.214408     Document Type: Article

References (79)

1. L. F. Feiner, A. M. Oleś, and J. Zaanen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2799 78, 2799 (1997).
2. K. I. Kugel and D. I. Khomskii, Usp. Fiz. Nauk UFNAAG 0042-1294 10.3367/UFNr.0136.198204c.0621 136, 621 (1982);
3. K. I. Kugel and D. I. Khomskii, Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/PU1982v025n04ABEH004537 25, 231 (1982).
4. Y. Tokura and N. Nagaosa, Science SCIEAS 0036-8075 10.1126/science.288. 5465.462 288, 462 (2000). (Pubitemid 30236021)
5. G. Khaliullin, Prog. Theor. Phys. Suppl. PTPSAL 0375-9687 10.1143/PTPS.160.155 160, 155 (2005); (Pubitemid 43608149)
6. A. M. Oleś, Acta Phys. Pol. A 115, 36 (2009)
7. [http://przyrbwn.icm.edu.pl/APP/PDF/115/a115z1006.pdf].
8. J. van den Brink, Z. Nussinov, and A. M. Oleś, in Introduction to Frustrated Magnetism: Materials, Experiments, Theory, edited by, C. Lacroix, P. Mendels, and, F. Mila, Springer Series in Solid-State Sciences Vol. 164 of (Springer, New York, 2011), pp. 631-672.
9. J. Zaanen and A. M. Oleś, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.48.7197 48, 7197 (1993).
10. L. F. Feiner and A. M. Oleś, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.3295 59, 3295 (1999);
11. P. Benedetti and R. Zeyher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.9923 59, 9923 (1999).
12. A. M. Oleś, G. Khaliullin, P. Horsch, and L. F. Feiner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.214431 72, 214431 (2005). (Pubitemid 43029257)
13. J. Deisenhofer, I. Leonov, M. V. Eremin, Ch. Kant, P. Ghigna, F. Mayr, V. V. Iglamov, V. I. Anisimov, and D. van der Marel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.157406 101, 157406 (2008).
14. N. Binggeli and M. Altarelli, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.085117 70, 085117 (2004);
15. I. Leonov, D. Korotin, N. Binggeli, V. I. Anisimov, and D. Vollhardt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.075109 81, 075109 (2010).
16. D. I. Khomskii and M. V. Mostovoy, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/35/307 36, 9197 (2003); (Pubitemid 37316770)
17. Z. Nussinov, M. Biskup, L. Chayes, and J. van den Brink, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10134-5 67, 990 (2004); (Pubitemid 39315692)
18. B. Douçot, M. V. Feigel'man, L. B. Ioffe, and A. S. Ioselevich, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.024505 71, 024505 (2005); (Pubitemid 40486217)
19. J. Dorier, F. Becca, and F. Mila, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.024448 72, 024448 (2005). (Pubitemid 43406492)
20. S. Wenzel and W. Janke, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.064402 78, 064402 (2008);
21. S. Wenzel, W. Janke, and A. M. Läuchli, Phys. Rev. E EULEEJ 1539-3755 10.1103/PhysRevE.81.066702 81, 066702 (2010).
22. Z. Nussinov and G. Ortiz, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/84/36005 84, 36005 (2008);
23. F. Trousselet, A. M. Oleś, and P. Horsch, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/91/40005 91, 40005 (2010).
24. R. Orús, A. C. Doherty, and G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.077203 102, 077203 (2009);
25. W. Brzezicki and A. M. Oleś, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.060401 82, 060401 (2010);
26. L. Cincio, J. Dziarmaga, and A. M. Oleś, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.104416 82, 104416 (2010).
27. W.-L. You, G.-S. Tian, and H.-Q. Lin, J. Phys. A PRLTAO 1751-8113 10.1088/1751-8113/43/27/275001 43, 275001 (2010).
28. J. van den Brink, P. Horsch, F. Mack, and A. M. Oleś, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.6795 59, 6795 (1999);
29. J. van den Brink, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/6/1/201 6, 201 (2004);
30. J. van den Brink, P. Horsch, and A. M. Oleś, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5174 85, 5174 (2000); (Pubitemid 32871802)
31. A. van Rynbach, S. Todo, and S. Trebst, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.146402 105, 146402 (2010).
32. W.-L. You, G.-S. Tian, and H.-Q. Lin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.195118 75, 195118 (2007).
33. B. Normand and A. M. Oleś, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.094427 78, 094427 (2008);
34. B. Normand, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.064413 83, 064413 (2011);
35. J. Chaloupka and A. M. Oleś, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.094406 83, 094406 (2011).
36. F. Vernay, K. Penc, P. Fazekas, and F. Mila, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.014428 70, 014428 (2004);
37. F. Vernay, A. Ralko, F. Becca, and F. Mila, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.054402 74, 054402 (2006); (Pubitemid 44167838)
38. F. Mila, F. Vernay, A. Ralko, F. Becca, P. Fazekas, and K. Penc, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/19/14/145201 19, 145201 (2007); (Pubitemid 46491385)
39. A. Reitsma, L. F. Feiner, and A. M. Oleś, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/121 7, 121 (2005). (Pubitemid 40899100)
40. J. B. Goodenough, Magnetism and the Chemical Bond (Interscience, New York, 1963);
41. J. Kanamori, J. Phys. Chem. Solids 0022-3697 10.1016/0022-3697(59)90061-7 10, 87 (1959).
42. D. A. Tennant, T. G. Perring, R. A. Cowley, and S. E. Nagler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.4003 70, 4003 (1993);
43. S. E. Nagler, D. A. Tennant, R. A. Cowley, T. G. Perring, and S. K. Satija, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.44.12361 44, 12361 (1991);
44. D. A. Tennant, R. A. Cowley, S. E. Nagler, and A. M. Tsvelik, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.13368 52, 13368 (1995).
45. B. Lake, D. A. Tennant, and S. E. Nagler, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.134412 71, 134412 (2005); (Pubitemid 41749668)
46. B. Lake, D. A. Tennant, C. D. Frost, and S. E. Nagler, Nat. Mater. 1476-1122 10.1038/nmat1327 4, 329 (2005).
47. R. Caciuffo, L. Paolasini, A. Sollier, P. Ghigna, E. Pavarini, J. van den Brink, and M. Altarelli, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65. 174425 65, 174425 (2002).
48. A. M. Oleś, L. F. Feiner, and J. Zaanen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.61.6257 61, 6257 (2000).
49. G. Khaliullin and V. Oudovenko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.56.R14243 56, R14243 (1997);
50. L. F. Feiner, A. M. Oleś, and J. Zaanen, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/10/32/001 10, L555 (1998).
51. T. N. De Silva, A. Joshi, M. Ma, and F. C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.68.184402 68, 184402 (2003).
52. A. M. Oleś, P. Horsch, L. F. Feiner, and G. Khaliullin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.147205 96, 147205 (2006).
53. B. Frischmuth, F. Mila, and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.835 82, 835 (1999);
54. Y. Chen, Z. D. Wang, Y. Q. Li, and F. C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.195113 75, 195113 (2007);
55. A. M. Oleś, P. Horsch, and G. Khaliullin, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/pssb.200674619 244, 2378 (2007).
56. G. Khaliullin, P. Horsch, and A. M. Oleś, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.195103 70, 195103 (2004). (Pubitemid 40139484)
57. P. Horsch, A. M. Oleś, L. F. Feiner, and G. Khaliullin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.167205 100, 167205 (2008). (Pubitemid 351585524)
58. C. Ulrich, G. Khaliullin, J. Sirker, M. Reehuis, M. Ohl, S. Miyasaka, Y. Tokura, and B. Keimer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 257202 91, 257202 (2003);
59. P. Horsch, G. Khaliullin, and A. M. Oleś, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.257203 91, 257203 (2003).
60. J. Sirker, A. Herzog, A. M. Oleś, and P. Horsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.157204 101, 157204 (2008).
61. A. M. Oleś, J. Zaanen, and P. Fulde, Physica B&C PHBCDQ 0378-4363 10.1016/0378-4363(87)90205-1 148, 260 (1987);
62. A. M. Oleś and W. Grzelka, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.44.9531 44, 9531 (1991).
63. A. K. McMahan, J. F. Annett, and R. M. Martin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.42.6268 42, 6268 (1990);
64. J. B. Grant and A. K. McMahan, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.46.8440 46, 8440 (1992).
65. G. Jackeli and N. B. Perkins, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.212402 65, 212402 (2002);
66. A. M. Oleś and L. F. Feiner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.67.092407 67, 092407 (2003);
67. K. Rościszewski and A. M. Oleś, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/36/365212 20, 365212 (2008).
68. M. Daghofer, A. M. Oleś, D. M. Neuber, and W. von der Linden, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.104451 73, 104451 (2006). (Pubitemid 43491783)
69. Von E. Herdtweck and D. Babel, Z. Anorg. Allg. Chem. ZAACAB 0044-2313 10.1002/zaac.19814740312 474, 113 (1981).
70. H. Manaka, Y. Miyashita, Y. Watanabe, and T. Masuda, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.76.044710 76, 044710 (2007).
71. A. M. Oleś, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.28.327 28, 327 (1983).
72. A. I. Liechtenstein, V. I. Anisimov, and J. Zaanen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.R5467 52, R5467 (1995);
73. J. E. Medvedeva, M. A. Korotin, V. I. Anisimov, and A. J. Freeman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.172413 65, 172413 (2002).
74. 4 } as in Ref..
75. G. Jackeli and G. Khaliullin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.017205 102, 017205 (2009);
76. G. Jackeli and G. Khaliullin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.067205 103, 067205 (2009).
77. J.-S. Zhou and J. B. Goodenough, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.247202 96, 247202 (2006). (Pubitemid 43926991)
78. M. Medarde, J. F. Mitchell, J. E. Millburn, S. Short, and J. D. Jorgensen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1223 83, 1223 (1999);
79. M. Kubota, H. Fujioka, K. Hirota, K. Ohoyama, Y. Moritomo, H. Yoshizawa, and Y. Endoh, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.69.1606 69, 1606 (2000);