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By using the method of exact diagonalization, the properties of the spin-1/2 ferromagnetic-antiferromagnetic alternating Heisenberg chain are investigated. The spin-spin correlation, the sublattice magnetizations, the spin excitation spectrum and the magnetization curve of the model are calculated and compared with the corresponding properties of the mixed spin chain. The results show that the behaviors of the alternating Heisenberg chain are equivalent to those of the mixed spin chain when the ratio of antiferromagnetic to ferromagnetic coupling strength is very small. So, the properties of the mixed spin chain can be analyzed by using the spin-1/2 ferromagnetic-antiferromagnetic-antiferromagnetic alternating Heisenberg chain.
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Keywords:
- Heisenberg spin chain /
- spin excitation spectra /
- correlation function /
- magnetization curve
[1] Anderson P W 1987 Science 235 1196
[2] [3] Lin N, Yu Z R 1993 Acta Phys. Sin. 42 1990 (in Chinese) [林念, 于祖荣 1993 42 1990]
[4] [5] Wang Y S 2002 Acta Phys. Sin. 51 1458 (in Chinese) [王延申 2002 51 1458]
[6] [7] Haldane F D M 1983 Phys. Rev. Lett. 50 1153
[8] [9] Buyers W J L, Morra R M, Armstrong R L, Hogan M J, Gerlach P, Hirakawa K 1986 Phys. Rev. Lett. 56 371
[10] Affleck I 1989 J. Phys.: Condens. Mat. 1 3047
[11] [12] Shi Y, Xing H Z, Zhang H W, Jing Y L, Liu Y L 2005 Acta Phys. Sin. 54 0280 (in Chinese) [石玉, 邢怀中, 张怀武, 荆玉兰, 刘颖力 2005 54 0280]
[13] [14] Hung H H, Gong C D 2005 Phys. Rev. B 71 054413
[15] [16] [17] Pan L H, Gong C D 2008 J. Phys.: Condens. Mat. 20 215232
[18] [19] Yamamoto S, Brehmer S Mikeska H J 1998 Phys. Rev. B 57 13610
[20] Pati S K, Ramasesha S, Sen D 1997 J. Phys.: Condens. Mat. 9 8707
[21] [22] [23] Sakai T, Yamamoto S 1999 Phys. Rev. B 60 4053
[24] Yamamoto S, Hori H 2005 Phys. Rev. B 72 054423
[25] [26] [27] Fukushima N, Honecker A, Wessel S, Brenig W 2004 Phys. Rev. B 69 174430
[28] Hagiwara M, Minami K, Narumi Y, Tatani K, Kindo K 1998 J. Phys. Soc. Jpn. 67 2209
[29] [30] [31] Brehmer S, Mikeska H J, Yamamoto S 1997 J. Phys.: Condens. Mat. 9 3921
[32] Kolezhuk A K, Mikeska H J, Yamamoto S 1997 Phys. Rev. B 55 R3336
[33] [34] [35] Oshikawa M, Yamanaka M, Affleck I 1997 Phys. Rev. Lett. 78 1984
[36] Gu B, Su G, Gao S 2005 J. Phys.: Condens. Mat. 17 6081
[37] [38] Gu B, Su G, Gao S 2006 Phys. Rev. B 73 134427
[39] -
[1] Anderson P W 1987 Science 235 1196
[2] [3] Lin N, Yu Z R 1993 Acta Phys. Sin. 42 1990 (in Chinese) [林念, 于祖荣 1993 42 1990]
[4] [5] Wang Y S 2002 Acta Phys. Sin. 51 1458 (in Chinese) [王延申 2002 51 1458]
[6] [7] Haldane F D M 1983 Phys. Rev. Lett. 50 1153
[8] [9] Buyers W J L, Morra R M, Armstrong R L, Hogan M J, Gerlach P, Hirakawa K 1986 Phys. Rev. Lett. 56 371
[10] Affleck I 1989 J. Phys.: Condens. Mat. 1 3047
[11] [12] Shi Y, Xing H Z, Zhang H W, Jing Y L, Liu Y L 2005 Acta Phys. Sin. 54 0280 (in Chinese) [石玉, 邢怀中, 张怀武, 荆玉兰, 刘颖力 2005 54 0280]
[13] [14] Hung H H, Gong C D 2005 Phys. Rev. B 71 054413
[15] [16] [17] Pan L H, Gong C D 2008 J. Phys.: Condens. Mat. 20 215232
[18] [19] Yamamoto S, Brehmer S Mikeska H J 1998 Phys. Rev. B 57 13610
[20] Pati S K, Ramasesha S, Sen D 1997 J. Phys.: Condens. Mat. 9 8707
[21] [22] [23] Sakai T, Yamamoto S 1999 Phys. Rev. B 60 4053
[24] Yamamoto S, Hori H 2005 Phys. Rev. B 72 054423
[25] [26] [27] Fukushima N, Honecker A, Wessel S, Brenig W 2004 Phys. Rev. B 69 174430
[28] Hagiwara M, Minami K, Narumi Y, Tatani K, Kindo K 1998 J. Phys. Soc. Jpn. 67 2209
[29] [30] [31] Brehmer S, Mikeska H J, Yamamoto S 1997 J. Phys.: Condens. Mat. 9 3921
[32] Kolezhuk A K, Mikeska H J, Yamamoto S 1997 Phys. Rev. B 55 R3336
[33] [34] [35] Oshikawa M, Yamanaka M, Affleck I 1997 Phys. Rev. Lett. 78 1984
[36] Gu B, Su G, Gao S 2005 J. Phys.: Condens. Mat. 17 6081
[37] [38] Gu B, Su G, Gao S 2006 Phys. Rev. B 73 134427
[39]
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