Anisotropic superexchange for nearest and next-nearest coppers in chain, ladder, and lamellar cuprates

Physical Review B - Condensed Matter and Materials Physics

Volumn 60, Issue 14, 1999, Pages 10206-10215

  Tornow, Sabine ^a   Entin Wohlman, O ^a   Aharony, Amnon ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001172465     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.60.10206     Document Type: Article

References (28)

1. S.A. Carter, B. Batlogg, R.J. Cava, J.J. Krajewski, W.F. Peck, Jr., and T.M. Rice, Phys. Rev. Lett. 77, 1378 (1996).
2. M. Hase, I. Terasak, and K. Uchinokura, Phys. Rev. Lett. 70, 3651 (1993).
3. K.M. Kojima, Y. Fudamoto, M. Larkin, G.M. Luke, J. Merrin, B. Nachumi, Y.J. Uemura, N. Motoyama, H. Eisaki, S. Uchida, K. Yamada, Y. Endoh, S. Hosoya, B.J. Sternlieb, and G. Shirane, Phys. Rev. Lett. 78, 1787 (1997).
4. M. Matsuda, K. Katsumata, K.M. Kojima, M. Larkin, G.M. Luke, J. Merrin, B. Nachumi, Y.J. Uemura, H. Eisaki, N. Motoyama, S. Uchida, and G. Shirane, Phys. Rev. B 55, R11 953 (1997).
5. K. Yamada, N. Suzuki, and J. Akimitsu, Physica B 213&214, 191 (1995).
6. M. Matsuda, T. Yoshihama, K. Kakurai, and S. Shirane, cond-mat/9808083.
7. F.C. Chou, A. Aharony, R.J. Birgeneau, O. Entin-Wohlman, M. Greven, A.B. Harris, M.A. Kastner, Y.J. Kim, D.S. Kleinberg, Y.S. Lee, and Q. Zhu, Phys. Rev. Lett. 78, 535 (1997);
8. A. Aharony, O. Entin-Wohlman, and A.B. Harris, in Dynamical Properties of Unconventional Magnetic Systems, edited by A.T. Skjeltorp and D. Sherrington (Kluwer, Dordrecht, 1998), p. 281.
9. J.B. Goodenough, Phys. Rev. 100, 564 (1955);
10. J. Kanamori, J. Phys. Chem. Solids 10, 87 (1959);
11. P.W. Anderson, Solid State Phys. 14, 99 (1963).
12. T. Yildirim, A.B. Harris, A. Aharony, and O. Entin-Wohlman, Phys. Rev. B 52, 10 239 (1995);
13. Phys. Rev. BO. Entin-Wohlman, A.B. Harris, and A. Aharony, 53, 11 661 (1996).
14. J. Stein, O. Entin-Wohlman, and A. Aharony, Phys. Rev. B 53, 775 (1996);
15. Phys. Rev. BJ. Stein, 53, 785 (1996).
16. W. Geertsma and D. Khomskii, Phys. Rev. B 54, 3011 (1996).
17. M. Braden, G. Wilkendorf, J. Lorezana, M. Ain, G.J. Mcintyre, M. Behruzi, G. Heger, G. Dhalenne, and A. Revcolevschi, Phys. Rev. B 54, 1105 (1996).
18. S. Gopalan, T.M. Rice, and M. Sigrist, Phys. Rev. B 49, 8901 (1994).
19. Y. Mizuno, T. Tohyama, S. Maekawa, T. Osafune, N. Motoyama, H. Eisaki, and S Uchida, Phys. Rev. B 57, 5326 (1998).
20. T.F.A. Müller, V. Anisimov, T.M. Rice, I. Dasgupta, and T. Saha-Dasgupta, cond-mat/9801280.
21. V. Yu.Yushankhai and R. Hayn, cond-mat/9902106.
22. J.S. Griffith, The Theory of Transition Metal Ions (Cambridge University Press, Cambridge, 1961).
23. J.C. Slater and G.F. Koster, Phys. Rev. 94, 1498 (1954).
24. J.J.M. Pothuizen, R. Eder, N.T. Hien, M. Matoba, A.A. Menovsky, and G.A. Sawatzky, Phys. Rev. Lett. 78, 717 (1997).
25. L.F. Matheiss, Phys. Rev. B 5, 290 (1972).
26. E.B. Stechel and D.R. Jennison, Phys. Rev. B 38, 4632 (1988).
27. In general, Eqs. (18), (24), and (26) may yield an antisymmetric anisotropy, of the form (Formula presented) i.e., the Dzyaloshinskii-Moriya interaction. However, this interaction does not appear in the symmetries considered in this paper.
28. H. Eskes and J.H. Jefferson, Phys. Rev. B 48, 9788 (1993).