Large moment formation and thermodynamic properties of disordered spin ladders with site dilution

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 14, 2003, Pages

  Yusuf, Eddy ^a   Yang, Kun ^a  

^a Florida State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHEMICAL BOND; CONCENTRATION (PARAMETERS); CONCENTRATION RESPONSE; DILUTION; LOW TEMPERATURE; MAGNETISM; PHASE TRANSITION; THERMODYNAMICS;

EID: 0038440778     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.144409     Document Type: Article

References (40)

1. S K. Ma, C. Dasgupta, and C.-K. Hu, Phys. Rev. Lett.43, 1434 (1979);
2. C. Dasgupta and S K. Ma, Phys. Rev. B22, 1305 (1980).
3. R N. Bhatt and P A. Lee, Phys. Rev. Lett.48, 344 (1982).
4. D S. Fisher, Phys. Rev. B50, 3799 (1994).
5. D S. Fisher, Phys. Rev. Lett.69, 534 (1992);
6. D S. FisherPhys. Rev. B51, 6411 (1995).
7. E. Westerberg, A. Furusaki, M. Sigrist, and P A. Lee, Phys. Rev. Lett.75, 4302 (1995);
8. E. WesterbergA. FurusakiM. SigristP A. LeePhys. Rev. B55, 12 578 (1997).
9. R A. Hyman, K. Yang, R N. Bhatt, and S M. Girvin, Phys. Rev. Lett.76, 839 (1996);
10. K. Yang, R A. Hyman, R N. Bhatt, and S M. Girvin, J. Appl. Phys.79, 5096 (1996).
11. B. Boechat, A. Saguia, and M A. Continentino, Solid State Commun.98, 411 (1996);
12. A. Saguia, B. Boechat, and M A. Continentino, Phys. Rev. B58, 58 (1998).
13. R A. Hyman and K. Yang, Phys. Rev. Lett.78, 1783 (1997).
14. C. Monthus, O. Golinelli, and Th. Jolicoeur, Phys. Rev. Lett.79, 3254 (1997);
15. C. MonthusO. GolinelliTh. JolicoeurPhys. Rev. B58, 805 (1998).
16. K. Yang and R N. Bhatt, Phys. Rev. Lett.80, 4562 (1998);
17. K. YangR N. BhattPhysica B259, 1048 (1999);
18. R N. Bhatt and K. Yang, J. Appl. Phys.83, 7231 (1998).
19. K. Damle, O. Motrunich, and D A. Huse, Phys. Rev. Lett.84, 3434 (2000);
20. O. Motrunich, K. Damle, and D A. Huse, Phys. Rev. B63, 134424 (2001).
21. For a review, see, e.g., E. Dagotto and T M. Rice, Science271, 618 (1996).
22. E. Orignac and T. Giamarchi, Phys. Rev. B57, 5812 (1998).
23. R. Melin, Y.-C. Lin, P. Lajko, H. Rieger, and F. Igloi, Phys. Rev. B65, 104415 (2002).
24. E. Yusuf and K. Yang, Phys. Rev. B65, 224428 (2002).
25. M. Azuma, Y. Fujishiro, M. Takano, M. Nohara, and H. Takagi, Phys. Rev. B55, R8658 (1997).
26. N. Fujiwara, H. Yasuoka, Y. Fujishiro, M. Azuma, and M. Takano, Phys. Rev. Lett.80, 604 (1998).
27. M. Laukamp, G B. Martins, C. Gazza, A L. Malvezzi, E. Dagotto, P M. Hansen, A C. Lopez, and J. Riera, Phys. Rev. B57, 10 755 (1998).
28. Y. Motome, N. Katoh, N. Furukawa, and M. Imada, J. Phys. Soc. Jpn.65, 1949 (1996).
29. M. Sigrist and A. Furusaki, J. Phys. Soc. Jpn.65, 2385 (1996).
30. Y. Iino and M. Imada, J. Phys. Soc. Jpn.65, 3728 (1996).
31. G B. Martins, E. Dagotto, and J A. Riera, Phys. Rev. B54,16 032 (1996).
32. T. Miyazaki, M. Troyer, M. Ogata, K. Ueda, and D. Yoshioka, J. Phys. Soc. Jpn.66, 2580 (1997).
33. A W. Sandvik, E. Dagotto, and D J. Scalapino, Phys. Rev. B56, 11 701 (1997).
34. G B. Martins, M. Laukamp, J. Riera, and E. Dagotto, Phys. Rev. Lett.78, 3563 (1997).
35. H J. Mikeska, U. Neugebauer, and U. Schollwock, Phys. Rev. B55, 2955 (1997).
36. M. Steiner, M. Fabrizio, and A O. Gogolin, Phys. Rev. B57, 8290 (1998).
37. A O. Gogolin, A A. Nerseyan, A M. Tsvelik, and L. Yu, Nucl. Phys. B540, 705 (1999).
38. S. Ohsugi, Y. Tokunaga, K. Ishida, Y. Kitaoka, M. Azuma, Y. Fujishiro, and M. Takano, Phys. Rev. B60, 4181 (1999).
39. See, for example, A. Auerbach: Interacting Electrons and Quantum Magnetism (Springer-Verlag, New York, Berlin, Heidelberg, 1994).
40. The specific distributions of the (formula presented)’s in real systems are not known. As we will see however, our results are not sensitive to the choice of these distributions; see below. So we may choose the distributions based on convenience of the study. Also from previous studies it is known that the distributions tend to flow to power-law forms at low energies, even if they do not take such forms initially.