Dynamical behavior of the four-body transverse Ising model with random bonds and fields

Brazilian Journal of Physics

Volumn 30, Issue 4, 2000, Pages 693-696

  Boechat, Beatriz ^a   Cordeiro, Claudette ^a   De Alcantara Bonfim, O F ^b   Florencio, J ^c   Sa Barreto F C ^c  

^a FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

^b REED COLLEGE   (United States)

^c FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034349774     PISSN: 01039733     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0103-97332000000400010     Document Type: Article

References (47)

1. [1] J. Bernasconi and T. Schneider, Physics in one Dimension (Springer, Berlin, 1981); Magnetic Excitations and Fluctuations II, edited by U. Balucani et al. (Springer, Berlin, 1987); A.S.T. Pires, Helv. Phys. Acta 61, 988 (1988).
2. [1] J. Bernasconi and T. Schneider, Physics in one Dimension (Springer, Berlin, 1981); Magnetic Excitations and Fluctuations II, edited by U. Balucani et al. (Springer, Berlin, 1987); A.S.T. Pires, Helv. Phys. Acta 61, 988 (1988).
3. [1] J. Bernasconi and T. Schneider, Physics in one Dimension (Springer, Berlin, 1981); Magnetic Excitations and Fluctuations II, edited by U. Balucani et al. (Springer, Berlin, 1987); A.S.T. Pires, Helv. Phys. Acta 61, 988 (1988).
4. [2] R.W. Youngblood, G. Aeppli, J.D. Axe and J.A. Griffin, Phys. Rev. Lett. 49, 1724 (1982); J. Kötzler, H. Neuhaus-Steinmetz, A. Froese and G. Gorlitz, Phys. Rev. Lett. 60, 647 (1988); C. Lee and S.I. Kobayashi, Phys. Rev. Lett. 62, 1061 (1989); E.H. Lieb, T. Schultz and D. C. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961).
5. [2] R.W. Youngblood, G. Aeppli, J.D. Axe and J.A. Griffin, Phys. Rev. Lett. 49, 1724 (1982); J. Kötzler, H. Neuhaus-Steinmetz, A. Froese and G. Gorlitz, Phys. Rev. Lett. 60, 647 (1988); C. Lee and S.I. Kobayashi, Phys. Rev. Lett. 62, 1061 (1989); E.H. Lieb, T. Schultz and D. C. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961).
6. [2] R.W. Youngblood, G. Aeppli, J.D. Axe and J.A. Griffin, Phys. Rev. Lett. 49, 1724 (1982); J. Kötzler, H. Neuhaus-Steinmetz, A. Froese and G. Gorlitz, Phys. Rev. Lett. 60, 647 (1988); C. Lee and S.I. Kobayashi, Phys. Rev. Lett. 62, 1061 (1989); E.H. Lieb, T. Schultz and D. C. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961).
7. [2] R.W. Youngblood, G. Aeppli, J.D. Axe and J.A. Griffin, Phys. Rev. Lett. 49, 1724 (1982); J. Kötzler, H. Neuhaus-Steinmetz, A. Froese and G. Gorlitz, Phys. Rev. Lett. 60, 647 (1988); C. Lee and S.I. Kobayashi, Phys. Rev. Lett. 62, 1061 (1989); E.H. Lieb, T. Schultz and D. C. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961).
8. [3] B. Boechat, R..R dos Santos e M.A. Continentino, Phys. Rev. B 49, R6404 (1994); Phys. Rev. B 50, 13528 (1994).
9. [3] B. Boechat, R..R dos Santos e M.A. Continentino, Phys. Rev. B 49, R6404 (1994); Phys. Rev. B 50, 13528 (1994).
10. [4] J. Florencio, O.F. de Alcantara Bonfim and F.C. Sá Barreto, Physica A 235, 523 (1997).
11. [5] J. Florencio and F.C. Sá Barreto, Phys. Rev. B 60, 9555 (1999); M.H. Lee, Phys. Rev. Lett. 49, 1072 (1982); H. Mori, Progr. Theor. Phys. 33, 423 (1965); 34, 399 (1965); M.H. Lee et al, Phys. Scripta T19B, 498 (1987); J. Florencio and M.H. Lee, Phys. Rev. A 31, 3231 (1985).
12. [5] J. Florencio and F.C. Sá Barreto, Phys. Rev. B 60, 9555 (1999); M.H. Lee, Phys. Rev. Lett. 49, 1072 (1982); H. Mori, Progr. Theor. Phys. 33, 423 (1965); 34, 399 (1965); M.H. Lee et al, Phys. Scripta T19B, 498 (1987); J. Florencio and M.H. Lee, Phys. Rev. A 31, 3231 (1985).
13. [5] J. Florencio and F.C. Sá Barreto, Phys. Rev. B 60, 9555 (1999); M.H. Lee, Phys. Rev. Lett. 49, 1072 (1982); H. Mori, Progr. Theor. Phys. 33, 423 (1965); 34, 399 (1965); M.H. Lee et al, Phys. Scripta T19B, 498 (1987); J. Florencio and M.H. Lee, Phys. Rev. A 31, 3231 (1985).
14. [5] J. Florencio and F.C. Sá Barreto, Phys. Rev. B 60, 9555 (1999); M.H. Lee, Phys. Rev. Lett. 49, 1072 (1982); H. Mori, Progr. Theor. Phys. 33, 423 (1965); 34, 399 (1965); M.H. Lee et al, Phys. Scripta T19B, 498 (1987); J. Florencio and M.H. Lee, Phys. Rev. A 31, 3231 (1985).
15. [5] J. Florencio and F.C. Sá Barreto, Phys. Rev. B 60, 9555 (1999); M.H. Lee, Phys. Rev. Lett. 49, 1072 (1982); H. Mori, Progr. Theor. Phys. 33, 423 (1965); 34, 399 (1965); M.H. Lee et al, Phys. Scripta T19B, 498 (1987); J. Florencio and M.H. Lee, Phys. Rev. A 31, 3231 (1985).
16. [5] J. Florencio and F.C. Sá Barreto, Phys. Rev. B 60, 9555 (1999); M.H. Lee, Phys. Rev. Lett. 49, 1072 (1982); H. Mori, Progr. Theor. Phys. 33, 423 (1965); 34, 399 (1965); M.H. Lee et al, Phys. Scripta T19B, 498 (1987); J. Florencio and M.H. Lee, Phys. Rev. A 31, 3231 (1985).
17. [6] R.J. Baxter and F.Y. Wu, Phys. Rev Lett. 31, 1294 (1973); M. Yamashita, H. Nakano and K. Yamada, Progr. Theor. Phys. 62, 1225 (1979).
18. [6] R.J. Baxter and F.Y. Wu, Phys. Rev Lett. 31, 1294 (1973); M. Yamashita, H. Nakano and K. Yamada, Progr. Theor. Phys. 62, 1225 (1979).
19. [7] O. Mitran, J. Phys. C 12, 557 (1979); ibidem 7, L54 (1979); B. Frank and M. Danino, J. Phys. C 19, 2529 (1986).
20. [7] O. Mitran, J. Phys. C 12, 557 (1979); ibidem 7, L54 (1979); B. Frank and M. Danino, J. Phys. C 19, 2529 (1986).
21. [7] O. Mitran, J. Phys. C 12, 557 (1979); ibidem 7, L54 (1979); B. Frank and M. Danino, J. Phys. C 19, 2529 (1986).
22. [8] O.G. Mouritsen, S.J. Knak Jensen, and B. Frank, Phys. Rev. B 23, 976 (1981); ibidem 24, 347 (1981).
23. [8] O.G. Mouritsen, S.J. Knak Jensen, and B. Frank, Phys. Rev. B 23, 976 (1981); ibidem 24, 347 (1981).
24. [9] A. Aharony, Phys. Rev. B 9, 2416 (1974); M. Gitterman and M. Mikulinsky, J. Phys. C 10,4073 (1977).
25. [9] A. Aharony, Phys. Rev. B 9, 2416 (1974); M. Gitterman and M. Mikulinsky, J. Phys. C 10,4073 (1977).
26. [10] M. Suzuki, Phys. Lett. 28, 267 (1972); D.W. Wood and H.P. Griffith, J. Math. Phys. 14, 1715 (1973); J. Phys. C 7, L54 (1974); H.P. Griffith and D.W. Wood, J. Phys. C 6, 2533 (1973); ibidem 7, 4021 (1974).
27. [10] M. Suzuki, Phys. Lett. 28, 267 (1972); D.W. Wood and H.P. Griffith, J. Math. Phys. 14, 1715 (1973); J. Phys. C 7, L54 (1974); H.P. Griffith and D.W. Wood, J. Phys. C 6, 2533 (1973); ibidem 7, 4021 (1974).
28. [10] M. Suzuki, Phys. Lett. 28, 267 (1972); D.W. Wood and H.P. Griffith, J. Math. Phys. 14, 1715 (1973); J. Phys. C 7, L54 (1974); H.P. Griffith and D.W. Wood, J. Phys. C 6, 2533 (1973); ibidem 7, 4021 (1974).
29. [10] M. Suzuki, Phys. Lett. 28, 267 (1972); D.W. Wood and H.P. Griffith, J. Math. Phys. 14, 1715 (1973); J. Phys. C 7, L54 (1974); H.P. Griffith and D.W. Wood, J. Phys. C 6, 2533 (1973); ibidem 7, 4021 (1974).
30. [10] M. Suzuki, Phys. Lett. 28, 267 (1972); D.W. Wood and H.P. Griffith, J. Math. Phys. 14, 1715 (1973); J. Phys. C 7, L54 (1974); H.P. Griffith and D.W. Wood, J. Phys. C 6, 2533 (1973); ibidem 7, 4021 (1974).
31. [11] O.G. Mouritsen, B. Frank, and D. Mukamel, Phys. Rev. B 27, 3018 (1983); B. Frank and O.G. Mouritsen, J. Phys. C 16, 2481 (1983); F.C. Alcaraz, L. Jacobs, and R. Savit, Phys. Lett. 89A, 49 (1982).
32. [11] O.G. Mouritsen, B. Frank, and D. Mukamel, Phys. Rev. B 27, 3018 (1983); B. Frank and O.G. Mouritsen, J. Phys. C 16, 2481 (1983); F.C. Alcaraz, L. Jacobs, and R. Savit, Phys. Lett. 89A, 49 (1982).
33. [11] O.G. Mouritsen, B. Frank, and D. Mukamel, Phys. Rev. B 27, 3018 (1983); B. Frank and O.G. Mouritsen, J. Phys. C 16, 2481 (1983); F.C. Alcaraz, L. Jacobs, and R. Savit, Phys. Lett. 89A, 49 (1982).
34. [12] P.R. Silva, B.V. Costa, and R.L. Moreira, Polymer 34, 3107 (1993).
35. [13] B. Boechat, C. Cordeiro, J. Florencio, F.C. Sá Barreto and O.F de Alcantara Bonfim, Phys. Rev. B 61, 14327 (2000).
36. [14] U. Brandt and K. Jacoby, Z. Phys. B 25, 181 (1976); H.W. Capel and J.H.H. Perk, Physica A 87, 211 (1977).
37. [14] U. Brandt and K. Jacoby, Z. Phys. B 25, 181 (1976); H.W. Capel and J.H.H. Perk, Physica A 87, 211 (1977).
38. [15] J. Florencio and M.H. Lee, Phys. Rev. B 35, 1835 (1987).
39. [16] S. Sen, M. Long, J. Florencio, Z.X. Cai, J. Appl. Phys. 73, 5471 (1993); S. Sen, S.D. Mahanti, and Z.X. Cai, Phys. Rev. B 43, 10 990 (1991); J. Stolze, G. Müller, and V.S. Viswanath, Z. Phys. B 89, 45 (1992); I. Sawada, Phys. Rev. Lett. 83, 1668 (1999); Physica B 284, 1541 (2000).
40. [16] S. Sen, M. Long, J. Florencio, Z.X. Cai, J. Appl. Phys. 73, 5471 (1993); S. Sen, S.D. Mahanti, and Z.X. Cai, Phys. Rev. B 43, 10 990 (1991); J. Stolze, G. Müller, and V.S. Viswanath, Z. Phys. B 89, 45 (1992); I. Sawada, Phys. Rev. Lett. 83, 1668 (1999); Physica B 284, 1541 (2000).
41. [16] S. Sen, M. Long, J. Florencio, Z.X. Cai, J. Appl. Phys. 73, 5471 (1993); S. Sen, S.D. Mahanti, and Z.X. Cai, Phys. Rev. B 43, 10 990 (1991); J. Stolze, G. Müller, and V.S. Viswanath, Z. Phys. B 89, 45 (1992); I. Sawada, Phys. Rev. Lett. 83, 1668 (1999); Physica B 284, 1541 (2000).
42. [16] S. Sen, M. Long, J. Florencio, Z.X. Cai, J. Appl. Phys. 73, 5471 (1993); S. Sen, S.D. Mahanti, and Z.X. Cai, Phys. Rev. B 43, 10 990 (1991); J. Stolze, G. Müller, and V.S. Viswanath, Z. Phys. B 89, 45 (1992); I. Sawada, Phys. Rev. Lett. 83, 1668 (1999); Physica B 284, 1541 (2000).
43. [16] S. Sen, M. Long, J. Florencio, Z.X. Cai, J. Appl. Phys. 73, 5471 (1993); S. Sen, S.D. Mahanti, and Z.X. Cai, Phys. Rev. B 43, 10 990 (1991); J. Stolze, G. Müller, and V.S. Viswanath, Z. Phys. B 89, 45 (1992); I. Sawada, Phys. Rev. Lett. 83, 1668 (1999); Physica B 284, 1541 (2000).
44. [17] A. Sur and I.J. Lowe, Phys. Rev. B 11, 1980 (1975); A. Sur, D. Jasnow, and I.J. Lowe, Phys. Rev. B 12, 3845 (1975).
45. [17] A. Sur and I.J. Lowe, Phys. Rev. B 11, 1980 (1975); A. Sur, D. Jasnow, and I.J. Lowe, Phys. Rev. B 12, 3845 (1975).
46. [18] M. Engelsberg, I.J. Lowe, and J.L. Carolan, Phys. Rev. B 7, 924 (1973).
47. [19] S.W. Lovesey, Condensed Matter Physics: Dynamic Correlations (Benjamin/Cummings, Reading, 1986).