The sawtooth chain: From Heisenberg spins to Hubbard electrons

International Journal of Modern Physics B

Volumn 22, Issue 25-26, 2008, Pages 4418-4433

  Richter, J ^a   Derzhko, O ^b   Honecker, A ^c  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

^b INSTITUTE FOR CONDENSED MATTER PHYSICS   (Ukraine)

^c UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Frustration; Heisenberg model; Hubbard model; Localized eigenstates

Indexed keywords

EID: 56149084332     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0217979208050176     Document Type: Conference Paper

References (69)

1. G. Toulouse, Commun. Phys. 2, 115 (1977).
2. K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986).
3. P. W. Anderson, Mater. Res. Bull. 8, 153 (1973);
4. P. W. Anderson and P. Fazekas, Phil. Mag. 30, 423 (1974).
5. C. Lhuillier and G. Misguich, in High Magnetic Fields, eds. C. Berthier, L.P. Lévy, G. Martinez (Lecture Notes in Physics, 595) (Springer, Berlin, 2001), pp. 161-190.
6. J. Richter, J. Schulenburg and A. Honecker, in Quantum Magnetism, U. Schollwöck, J. Richter, eds. D. J. J. Farnell, R. F. Bishop (Lecture Notes in Physics, 645) (Springer, Berlin, 2004), pp. 85-153.
7. P. Lemmens and P. Millet, in Quantum Magnetism, eds. U. Schollwöck, J. Richter, D. J. J. Farnell, R. F. Bishop (Lecture Notes in Physics, 645) (Springer, Berlin, 2004), pp. 433-477.
8. P. Schiffer, Nature 413, 48 (2001).
9. R. Moessner, Can. J. Phys. 79, 1283 (2001).
10. R. Moessner and A. P. Ramirez, Physics Today, February 2006, p. 24.
11. H. T. Diep (ed.), Frustrated Spin Systems (World Scientific, Singapore, 2004).
12. U. Schollwöck, J. Richter, D. J. J. Farnell, R. F. Bishop (eds.), Quantum Magnetism (Lecture Notes in Physics, 645) (Springer, Berlin, 2004).
13. M. Hase, H. Kuroe, K. Ozawa, O. Suzuki, H. Kitazawa, G. Kido and T. Sekine, Phys. Rev. B 70, 104426 (2004);
14. M. Enderle, C. Mukherjee, B. Fåk, R. K. Kremer, J.-M. Broto, H. Rosner, S.-L. Drechsler, J. Richter, J. Malek, A. Prokofiev, W. Assmus, S. Pujol, J.-L. Raggazzoni, H. Rakoto, M. Rheinstädter and H. M. Rønnow, Europhys. Lett. 70, 237 (2005);
15. M. G. Banks, F. Heidrich-Meisner, A. Honecker, H. Rakoto, J.-M. Broto and R. K. Kremer, J. Phys.: Condens. Matter 19, 145227 (2007);
16. S.-L. Drechsler, O. Volkova, A. N. Vasiliev, N. Tristan, J. Richter, M. Schmitt, H. Rosner, J. Málek, R. Klingeler, A. A. Zvyagin and B. Büchner, Phys. Rev. Lett. 98, 077202 (2007).
17. P. Mendels, F. Bert, M. A. de Vries, A. Olariu, A. Harrison, F. Duc, J. C. Trombe, J. S. Lord, A. Amato and C. Baines, Phys. Rev. Lett. 98, 077204 (2007).
18. K. Takada, H. Sakurai, E. Takayama-Muromachi, F. Izumi, R. A. Dilanian and T. Sasaki, Nature 422, 53 (2003);
19. Y. Wang, N. S. Rogado, R. J. Cava and N. P. Ong, Nature 423, 425 (2003);
20. M. L. Foo, Y. Wang, S. Watauchi, H. W. Zandbergen, T. He, R. J. Cava and N. P. Ong, Phys. Rev. Lett. 92, 247001 (2004).
21. H. N. Kono and Y. Kuramoto, J. Phys. Soc. Jpn. 75, 084706 (2006).
22. H. Tamura, K. Shiraishi, T. Kimura and H. Takayanagi, Phys. Rev. B 65, 085324 (2002);
23. R. Arita, K. Kuroki, H. Aoki, A. Yajima, M. Tsukada, S. Watanabe, M. Ichimura, T. Onogi and T. Hashizume, Phys. Rev. B 57, R6854 (1998).
24. J. Schnack, H.-J. Schmidt, J. Richter and J. Schulenburg, Eur. Phys. J. B 24, 475 (2001).
25. J. Schulenburg, A. Honecker, J. Schnack, J. Richter and H.-J. Schmidt, Phys. Rev. Lett. 88, 167207 (2002).
26. J. Richter, J. Schulenburg, A. Honecker, J. Schnack and H.-J. Schmidt, J. Phys.: Condens. Matter 16, S779 (2004).
27. M. E. Zhitomirsky and A. Honecker, J. Stat. Mech.: Theor. Exp., P07012 (2004).
28. M. E. Zhitomirsky and H. Tsunetsugu, Phys. Rev. B 70, 100403(R) (2004).
29. O. Derzhko and J. Richter, Phys. Rev. B 70, 104415 (2004).
30. M. E. Zhitomirsky and H. Tsunetsugu, Prog. Theor. Phys. Suppl. 160, 361 (2005).
31. O. Derzhko and J. Richter, Eur. Phys. J. B 52, 23 (2006).
32. A. Mielke, J. Phys. A 24, L73 (1991);
33. A. Mielke, J. Phys. A 24, 3311 (1991);
34. A. Mielke, J. Phys. A 25, 4335 (1992); H.
35. Tasaki, Phys. Rev. Lett. 69, 1608 (1992);
36. A. Mielke and H. Tasaki, Commun. Math. Phys. 158, 341 (1993);
37. H. Tasaki, Prog. Theor. Phys. 99, 489 (1998).
38. A. Honecker and J. Richter, Condensed Matter Physics (L'viv) 8, 813 (2005).
39. A. Honecker and J. Richter, J. Magn. Magn. Mater. 310, 1331 (2007).
40. O. Derzhko, A. Honecker and J. Richter, Phys. Rev. B 76, 220402(R) (2007).
41. Z. Gulácsi, A. Kampf and D. Vollhardt, Phys. Rev. Lett. 99, 026404 (2007).
42. C. Wu, D. Bergman, L. Balents, and S. Das Sarma, Phys. Rev. Lett. 99, 070401 (2007);
43. D. L. Bergman and L. Balents, arXiv:0803.3628.
44. H.-J. Schmidt, J. Phys. A 35, 6545 (2002).
45. J. Richter, O. Derzhko and J. Schulenburg, Phys. Rev. Lett. 93, 107206 (2004).
46. J. Richter, J. Schulenburg, A. Honecker and D. Schmalfuß, Phys. Rev. B 70, 174454 (2004).
47. J. Richter, J. Schulenburg, P. Tomczak and D. Schmalfuß, arXiv:cond-mat/0411673.
48. R. Schmidt, J. Richter and J. Schnack, J. Magn. Magn. Mater. 295, 164 (2005).
49. O. Derzhko and J. Richter, Phys. Rev. B 72, 094437 (2005).
50. J. Richter, Fizika Nizkikh Temperatur (Kharkiv) 31, 918 (2005)
51. [Low Temperature Physics 31, 695 (2005)].
52. H.-J. Schmidt, J. Richter and R. Moessner, J. Phys. A 39, 10673 (2006).
53. J. Richter, O. Derzhko and T. Krokhmalskii, Phys. Rev. B 74, 144430 (2006);
54. O. Derzhko, J. Richter and T. Krokhmalskii, Acta Physica Polonica A 113, 433 (2008).
55. J. Schnack, H.-J. Schmidt, A. Honecker, J. Schulenburg and J. Richter, J. Phys.: Conf. Ser. 51, 43 (2006).
56. O. Derzhko, J. Richter, A. Honecker and H.-J. Schmidt, Fizika Nizkikh Temperatur (Kharkiv) 33, 982 (2007)
57. [Low Temperature Physics 33, 745 (2007)].
58. M. E. Zhitomirsky and H. Tsunetsugu, Phys. Rev. B 75, 224416 (2007).
59. A. Honecker, J. Schulenburg and J. Richter, J. Phys.: Condens. Matter 16, S749 (2004).
60. A. Honecker, F. Mila and M. Troyer, Eur. Phys. J. B 15, 227 (2000).
61. F. Mila, Eur. Phys. J. B 6, 201 (1998).
62. M. E. Fisher, Phys. Rev. 124, 1664 (1961).
63. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
64. M. E. Zhitomirsky, Phys. Rev. B 67, 104421 (2003).
65. J. Schnack, R. Schmidt and J. Richter, Phys. Rev. B 76, 054413 (2007).
66. K. Penc, H. Shiba, F. Mila and T. Tsukagoshi, Phys. Rev. B 54, 4056 (1996);
67. H. Sakamoto and K. Kubo, J. Phys. Soc. Jpn. 65, 3732 (1996);
68. Y. Watanabe and S. Miyashita, J. Phys. Soc. Jpn. 66, 2123;
69. Y. Watanabe and S. Miyashita, J. Phys. Soc. Jpn. 66, 3981 (1997).