Antiferromagnetic exchange in two-leg spin-1/2 ladders

Physical Review B - Condensed Matter and Materials Physics

Volumn 54, Issue 18, 1996, Pages 13009-13016

  Johnston, D ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000187045     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.54.13009     Document Type: Article

References (42)

1. For a review, see E. Dagotto and T. M. Rice, Science 271, 618 (1996).
2. E. Dagotto and A. Moreo, Phys. Rev. B 38, 5087 (1988).
3. E. Dagotto, J. Riera and D. Scalapino, Phys. Rev. B 45, 5744 (1992).
4. T. Barnes, E. Dagotto, J. Riera and E. S. Swanson, Phys. Rev. B 47, 3196 (1993).
5. D. C. Johnston, J. W. Johnson, D. P. Goshorn and A. J. Jacobson, Phys. Rev. B 35, 219 (1987).
6. T. Barnes and J. Riera, Phys. Rev. B 50, 6817 (1994).
7. Z. Hiroi, M. Azuma, M. Takano and Y. Bando, J. Solid State Chem. 95, 230 (1991).
8. T. M. Rice, S. Gopalan and M. Sigrist, Europhys. Lett. 23, 445 (1993).
9. M. Azuma, Z. Hiroi, M. Takano, K. Ishida and Y. Kitaoka, Phys. Rev. Lett. 73, 3463 (1994).
10. K. Ishida, Y. Kitaoka, K. Asayama, M. Azuma, Z. Hiroi and M. Takano, J. Phys. Soc. Jpn. 63, 3222 (1994).
11. K. Kojima, A. Keren, G. M. Luke, B. Nachumi, W. D. Wu, Y. J. Uemura, M. Azuma and M. Takano, Phys. Rev. Lett. 74, 2812 (1995).
12. K. Ishida, Y. Kitaoka, Y. Tokunaga, S. Matsumoto, K. Asayama, M. Azuma, Z. Hiroi and M. Takano, Phys. Rev. B 53, 2827 (1996).
13. Z. Hiroi and M. Takano, Nature 377, 41 (1995).
14. S. Matsumoto, Y. Kitaoka, K. Ishida, K. Asayama, Z. Hiroi, N. Kobayashi and M. Takano, Phys. Rev. B 53, R11t942 (1996).
15. M. Troyer, M. E. Zhitomirsky, and K. Ueda (unpublished).
16. B. Normand and T. M. Rice, Phys. Rev. B 54, 7180 (1996).
17. R. S. Eccleston, T. Barnes, J. Brody and J. W. Johnson, Phys. Rev. Lett. 73, 2626 (1994).
18. S. Gopalan, T. M. Rice and M. Sigrist, Phys. Rev. B 49, 8901 (1994).
19. S. R. White, R. M. Noack and D. J. Scalapino, Phys. Rev. Lett. 73, 886 (1994).
20. D. Poilblanc, H. Tsunetsugu and T. M. Rice, Phys. Rev. B 50, 6511 (1994).
21. A. G. Rojo, Phys. Rev. B 53, 9172 (1996).
22. M. Sigrist, T. M. Rice and F. C. Zhang, Phys. Rev. B 49, 12t058 (1994).
23. H. Tsunetsugu, M. Troyer and T. M. Rice, Phys. Rev. B 49, 16t078 (1994).
24. M. Troyer, H. Tsunetsugu and D. Würtz, Phys. Rev. B 50, 13t515 (1994).
25. T. Ami et. al Phys. Rev. B 51, 5994 (1995). By fitting the measured χ(T) for (Formula presented)(Formula presented) by χ(T)=(Formula presented)+C/(T-θ)+(Formula presented)(T), where (Formula presented)(T) is the Bonner-Fisher prediction with g = 2.1, J/(Formula presented) = (Formula presented) K was obtained.
26. S. Eggert, Phys. Rev. B 53, 5116 (1996). By fitting our χ(T) data for (Formula presented)(Formula presented) in Ref. 26 by the same expression in Ref. 26, but with (Formula presented)(T) given by the calculation of Ref. 28, J/(Formula presented) = (Formula presented) K was obtained, using (S. Eggert, private communication) g=1.6 for (Formula presented). Assuming g=2.1 instead (Ref. 26), we found using the (Formula presented)(T) of Eggert et. al that the T dependence of χ was best fit with J/(Formula presented) = (Formula presented) K. The author thanks S. Eggert for providing the numerical predicted (Formula presented)(T) data, and for sending a preprint prior to publication.
27. S. Eggert, I. Affleck and M. Takahashi, Phys. Rev. Lett. 73, 332 (1994).
28. H. Suzuura, H. Yasuhara, A. Furusaki, N. Nagaosa and Y. Tokura, Phys. Rev. Lett. 76, 2579 (1996).
29. N. Motoyama, H. Eisaki and S. Uchida, Phys. Rev. Lett. 76, 3212 (1996).
30. S.-L. Drechsler, J. Málek, S. Zalis and K. Rościszewski, Phys. Rev. B 53, 11t328 (1996).
31. For a review, see D. C. Johnston, J. Magn. Magn. Mater. 100, 218 (1991).
32. R. E. Walstedt, Jr. and W. W. Warren, Science 248, 1082 (1990)
33. A. W. Sandvik, E. Dagotto and D. J. Scalapino, Phys. Rev. B 53, R2934 (1996).
34. J. des Cloizeaux and J. J. Pearson, Phys. Rev. 128, 2131 (1962).
35. T. M. Rice (private communication).
36. J. S. Smart, Effective Field Theories of Magnetism (Saunders, Philadelphia, 1966).
37. For a review, see R. Navarro, in Magnetic Properties of Layered Transition Metal Compounds, edited by L. J. de Jongh (Kluwer, Dordrecht, 1990), pp. 105-190.
38. M. Troyer, H. Kontani and K. Ueda, Phys. Rev. Lett. 76, 3822 (1996).
39. L. J. de Jongh, in Magnetism and Magnetic Materials, edited by C. D. Graham and J. J. Rhyne, AIP Conf. Proc. No. 10 (AIP, New York, 1972), p. 561.
40. B. Frischmuth, B. Ammon and M. Troyer, Phys. Rev. B 54, R3714 (1996); B. Frischmuth, Diploma thesis, ETH Zürich, 1995.
41. N. Elstner, R. R. P. Singh and A. P. Young, Phys. Rev. Lett. 71, 1629 (1993).
42. J. H. Van Vleck, The Theory of Electric and Magnetic Susceptibilities (Oxford University Press, London, 1965).