Density-of-states and localization study of the double-exchange model in one and two dimensions

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 21, 1999, Pages 13977-13985

  Taraphder, A ^b   Mahanti, S D ^a   Kaplan, T A ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000301658     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.13977     Document Type: Article

References (40)

1. S. Jin, T H. Tiefel, M. McCormack, R A. Fastnacht, R. Ramesh, and L H. Chen, Science264, 413 (1994).
2. G. H. Jonker and J H. van Santen, Physica (Amsterdam)16, 337 (1950);
3. Physica (Amsterdam)J H. van Santen and G H. Jonker, 16, 599 (1950).
4. P. W. Anderson and H. Hasegawa, Phys. Rev.100, 675 (1955).
5. P. G. de Gennes, Phys. Rev.118, 141 (1960).
6. K. Kubo and N. Ohata, J. Phys. Soc. Jpn.33, 21 (1972).
7. N. Furukawa, J. Phys. Soc. Jpn.65, 1174 (1996).
8. S. Yunoki, J. Hu, A L. Malvezi, A. Moreo, N. Furukawa, and E. Dagotto, Phys. Rev. Lett.80, 845 (1998).
9. J. Zang, H. Röder, A R. Bishop, and S A. Trugman, J. Phys.: Condens. Matter19, L157 (1997);
10. J. Phys.: Condens. MatterT A. Kaplan and S D. Mahanti, 19, L291 (1997).
11. S. Yunoki and A. Moreo, Phys. Rev. B58, 6403 (1998).
12. P. Horsch, J. Jaklic, and F. Mack, Phys. Rev. B59, 6217 (1999).
13. E. Müller-Hartmann and E. Dagotto, Phys. Rev. B54, R6819 (1996).
14. Y. Morimoto, A. Asamitsu, H. Kuwahara, and Y. Tokura, Nature (London)380, 141 (1996);
15. T. G. Perring, G. Aeppli, and Y. Tokura, Phys. Rev. Lett.78, 3197 (1997).
16. Q. Li, J. Zang, A R. Bishop, and C M. Soukoulis, Phys. Rev. B56, 4541 (1997).
17. C. M. Varma, Phys. Rev. B54, 7328 (1996).
18. L. Fleishman and D C. Licciardello, J. Phys. C10, L125 (1977).
19. C. M. Soukoulis, I. Webman, G S. Grest, and E N. Economou, Phys. Rev. B26, 1838 (1982).
20. T.A.L. Ziman, Phys. Rev. B26, 7066 (1982).
21. M. Inui, S A. Trugman, and E. Abrahams, Phys. Rev. B49, 3190 (1994).
22. A. Eilmes, R A. Römer, and M. Schreiber, Eur. Phys. J. B1, 29 (1998).
23. A. MacKinnon and B. Kramer, Z. Phys. B53, 1 (1983).
24. L. H. Ryder, Quantum Field Theory (Cambridge University Press, Cambridge, 1985).
25. R. J. Bell and P. Dean, Discuss. Faraday Soc.50, 55 (1970).
26. D. J. Thouless, Phys. Lett., C13, 93 (1974).
27. F. Wegner, Z. Phys. B36, 209 (1980).
28. H. Aoki, J. Phys. C16, L205 (1983);
29. H. AokiPhys. Rev. B33, 7310 (1986).
30. C. Castellani and L. Peliti, J. Phys. A19, L429 (1986).
31. M. Schreiber and H. Grussbach, Phys. Rev. Lett.67, 607 (1991).
32. M. Schreiber, J. Phys. C18, 2493 (1985);
33. M. SchreiberPhys. Rev. B31, 6146 (1985).
34. V. I. Fal’ko and K B. Efetov, Europhys. Lett.32, 627 (1995);
35. V. I. Fal’koK B. EfetovPhys. Rev. B52, 17 413 (1995).
36. E. Abrahams, P W. Anderson, D C. Licciardello, and T V. Ramakrishnan, Phys. Rev. B42, 673 (1979);
37. P. A. Lee and T V. Ramakrishnan, Rev. Mod. Phys.57, 287 (1985).
38. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, New York, 1997), Chap. 2.
39. Eigenstates in the DE and DE models in this regime are multifractals, which will be discussed in detail elsewhere.
40. Although the ABD model does not show critical behavior away from the band center, a comparison of β values obtained from Figs. 77 and 1010 is still meaningful due to the near power-law behavior (small absolute value of γ) of nonband center states.