Universal properties of highly frustrated quantum magnets in strong magnetic fields

Fizika Nizkikh Temperatur (Kharkov)

Volumn 33, Issue 9, 2007, Pages 982-996

  Derzhko, Oleg ^a,b,c   Richter, Johannes ^b,c   Honecker, Andreas ^d   Schmidt, Heinz Jürgen ^e  

^a INSTITUTE FOR CONDENSED MATTER PHYSICS   (Ukraine)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^c OTTO VON GUERICKE UNIVERSITY   (Germany)

^d UNIVERSITY OF GÖTTINGEN   (Germany)

^e UNIVERSITY OF OSNABRÜCK   (Germany)

Author keywords

Classical lattice gas models; Frustrated Heisenberg antiferromagnets; Localized magnon states; Strong magnetic field

Indexed keywords

ANTIFERROMAGNETIC MATERIALS; LOW TEMPERATURE EFFECTS; MAGNETIC FIELDS; MATHEMATICAL MODELS; THERMODYNAMIC PROPERTIES;

CLASSICAL LATTICE GAS MODELS; FRUSTRATED HEISENBERG ANTIFERROMAGNETS; LOCALIZED MAGNON STATES; QUANTUM MAGNETS;

MAGNETS;

EID: 34848873108     PISSN: 01326414     EISSN: 18160328     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (67)

1. C. Lhuillier and G. Misguich, in: High Magnetic Fields: Applications in Condensed Matter Physics and Spectroscopy, C. Berthier, L.P. Levy, and G. Martinez (eds.), Springer, Berlin (2002), p. 161;
2. G. Misguich and C. Lhuillier, in: Frustrated Spin Systems, H.T. Diep (ed.), World Scientific, Singapore (2005), p. 229.
3. H.-J. Mikeska and A. K. Kolezhuk, in: Quantum Magnetism, U. Schollwöck, J. Richter, D.J.J. Farnell, and R.F. Bishop (eds.), Springer, Berlin (2004), p. 1.
4. J. Richter, J. Schulenburg, and A. Honecker, in: Quantum Magnetism, U. Schollwöck, J. Richter, D.J. J Farnell,and R.F. Bishop (eds.), Springer, Berlin (2004), p. 85.
5. P. Lemmens and P. Millet, in: Quantum Magnetism, U. Schollwöck, J. Richter, D.J.J. Farnell, and R.F. Bishop (eds.), Springer, Berlin (2004), p. 433.
6. K. Pene, N. Shannon, and H. Shiba, Phys. Rev. Lett. 93, 197203 (2004);
7. K. Penc, N. Shannon, Y. Motome, and H. Shiba, J. Phys.: Condens. Matter 19, 145267 (2007).
8. D.L. Bergman, R. Shindou, G.A. Fiete, and L. Balents, Phys. Rev. B74, 134409 (2006);
9. D.L. Bergman, R. Shindou, G.A. Fiete, and L. Balents, Phys. Rev. 75, 094403 (2007).
10. J. Schnack, H.-J. Schmidt, J. Richter, and J. Schulenburg, Eur. Phys. J. B24, 475 (2001).
11. J. Schulenburg, A. Honecker, J. Schnack, J. Richter, and H.-J. Schmidt, Phys. Rev. Lett. 88, 167207 (2002).
12. H.-J. Schmidt, J. Phys. A35, 6545 (2002).
13. J. Richter, J. Schulenburg, A. Honecker, J. Schnack, and H.-J. Schmidt, J. Phys.: Condensed Matter 16, S779 (2004).
14. J. Richter, O. Derzhko, and J. Schulenburg, Phys. Rev. Lett. 93, 107206 (2004).
15. M.E. Zhitomirsky and A. Honecker, J. Stat. Mech.: Theor. Exp., P07012 (2004).
16. M.E. Zhitomirsky and H. Tsunetsugu, Phys. Rev. B70, 100403R (2004).
17. O. Derzhko and J. Richter, Phys. Rev. B70, 104415 (2004).
18. J. Richter, J. Schulenburg, A. Honecker, and D. Schmal-fuß, Phys. Rev. B70, 174454 (2004).
19. J. Richter, J. Schulenburg, P. Tomczak, and D. Schmalfuß, arXiv:cond-mat/0411673.
20. R. Schmidt, J. Richter, and J. Schnack, J. Magn. Magn. Mater. 295, 164 (2005).
21. O. Derzhko and J. Richter, Phys. Rev. B72, 094437 (2005).
22. O. Derzhko, J. Richter, and J. Schulenburg, Phys. Status Solidi B242, 3189 (2005).
23. O. Derzhko and J. Richter, Eur. Phys. J. B52, 23 (2006).
24. H.-J. Schmidt, J. Richter, and R. Moessner, J. Phys. A39, 10673 (2006).
25. J. Richter, O. Derzhko, and T. Krokhmalskii, Phys. Rev. B74, 144430 (2006).
26. J. Schnack, H.-J. Schmidt, A. Honecker, J. Schulenburg, and J. Richter, J. Phys.: Conf. Ser. 51, 43 (2006).
27. M. E. Zhitomirsky and H. Tsunetsugu, Prog. Theor. Phys. Suppl. 160, 361 (2005).
28. J. Richter, Fiz. Nizk. Temp. 31, 918 (2005)
29. [Low Temp. Phys. 31, 695 (2005)].
30. H. Kikuchi, Y. Fujii, M. Chiba, S. Mitsudo, and T. Idehara, Physica B329-333, 967 (2003);
31. H. Kikuchi, Y. Fujii, M. Chiba, S. Mitsudo, T. Idehara, and T. Kuwai, J. Magn. Magn. Mater. 272-276, 900 (2004);
32. S. Okubo, T. Kamikawa, T. Kunimoto, Y. Inagaki, H. Ohta, H. Nojiri, and H. Kikuchi, J. Magn. Magn. Mater. 272-276, 912 (2004).
33. H. Kikuchi, Y. Fujii, M. Chiba, S. Mitsudo, T. Idehara, T. Tonegawa, K. Okamoto, T. Sakai, T. Kuwai, and H. Ohta, Phys. Rev. Lett. 94, 227201 (2005);
34. B. Gu and G. Su, Phys. Rev. Lett. 97, 089701 (2006);
35. H. Kikuchi, Y. Fujii, M. Chiba, S. Mitsudo, T. Idehara, T. Tonegawa, K. Okamoto, T. Sakai, T. Kuwai, and H. Ohta, Phys. Rev. Lett. 97, 089702 (2006).
36. T. Radu, H. Wilhelm, V. Yushankhai, D. Kovrizhin, R. Coldea, Z. Tylczynski, T. Lühmann, and F. Steglich, Phys. Rev. Lett. 95, 127202 (2005).
37. Ch. Waldtmann, H. Kreutzmann, U. Schollwöck, K, Maisinger, and H.-U. Everts, Phys. Rev. B62, 9472 (2000).
38. The diamond chain, the frustrated ladder and the frustrated bilayer lattice fall into a class of models with local conservation laws. These local conservation laws can be exploited in the analysis of such models [31-38].
39. M.P. Gelfand, Phys. Rev. B43, 8644 (1991).
40. A. Honecker, F. Mila, and M. Troyer, Eur. Phys. J. B15, 227 (2000).
41. W. Brenig, K.W. Becker, and P. Lemmens, Physica B312-313, 594 (2002).
42. E. Chattopadhyay and I. Bose, Phys. Rev. B65, 134425 (2002).
43. K. Totsuka and H.-J. Mikeska, Phys. Rev. B66, 054435 (2002).
44. K. Takano, K. Kubo, and H. Sakamoto, J. Phys.: Condens. Matter 8, 6405 (1996).
45. A. Honecker and A. Läuchli, Phys. Rev. B63, 174407 (2001).
46. N.B. Ivanov and J. Richter, Phys. Lett. A232, 308 (1997);
47. J. Richter, N.B. Ivanov, and J. Schulenburg, J. Phys.: Condens. Matter 10, 3635 (1998);
48. A. Koga, K. Okunishi, and N. Kawakami, Phys. Rev. B62, 5558 (2000);
49. J. Schulenburg and J. Richter, Phys. Rev. B65, 054420 (2002).
50. P. Azaria, C. Hooley, P. Lecheminant, C. Lhuillier, and A.M. Tsvelik, Phys. Rev. Lett. 81, 1694 (1998).
51. R.J. Baxter, Exactly Solved Models in Statistical Mechanics, Academic Press, London (1982).
52. F.H. Ree and D.A. Chesnut, Phys. Rev. Lett. 18, 5 (1967);
53. A. Bellemans and R.K. Nigam, J. Chem. Phys. 46, 2922 (1967);
54. L. Lafuente and J.A. Cuesta, J. Chem. Phys. 119, 10832 (2003).
55. R.J. Baxter, I.G. Enting, and S.K. Tsang, J. Stat. Phys. 22, 465 (1980);
56. Z. Rácz, Phys. Rev. B21, 4012 (1980);
57. W. Guo and H.W.J. Blöte, Phys. Rev. E66, 046140 (2002).
58. The classical Monte Carlo data are taken from Ref. 22. The numerical calculations were performed by T. Krokhmalskii.
59. N.D. Mermin and H. Wagner, Phys. Rev. Lett. 1.7, 1133 (1966);
60. N.D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1307 (1966).
61. K. Okamoto, T. Tonegawa, Y. Takahashi, and M. Kaburagi, J. Phys.: Condens. Matter 11, 10485 (1999).
62. R. Coldea, D.A. Tennant, K. Habicht, P. Smeibidl, C. Wolters, and Z. Tylczynski, Phys. Rev. Lett. 88, 137203 (2002).
63. G. Jackeli and M.E. Zhitomirsky, Phys. Rev. Lett. 93, 017201 (2004).
64. N.G. Zhang and C.L. Henley, Phys. Rev. B68, 014506 (2003).
65. M.E. Zhitomirsky and H. Tsunetsugu, Phys. Rev. B75, 224416 (2007).
66. H.C. Marques Fernandes, J.J. Arenzon, and Y. Levin, J. Chem. Phys. 126, 114508 (2007).
67. O. Derzhko, J. Richter, A. Honecker, and H.-J. Schmidt, arXiv:cond-mat/0612281 vl.