关于海森堡反铁磁链材料LiVGe2O6有限温度相变的理论研究

黄海; 李伟锋

doi:10.7498/aps.62.217501

摘要

自旋s=1的海森堡反铁磁链材料LiVGe2O6的磁化率以及核磁共振实验表明该材料在临界温度约为22 K时由顺磁相转变为反铁磁Nel相, 且低温磁激发谱存在能隙. 本文在已有模型哈密顿量的基础上提出了一个低能场论模型Ginzburg-Landau理论来描述这一反铁磁链材料, 并运用这一理论讨论了LiVGe2O6由于自发对称性破缺导致的有限温度相变及相应的磁化率变化情况, 理论计算很好地解释了现有的实验结果.

关键词:

Abstract

The susceptibility and nuclear magnetic resonance measurements on quasi-one-dimensional spin-1 Heisenberg antiferromagnet LiVGe2O6 indicate that this material shows a phase transition from paramagnetic state to antiferromagnetic Nel state at about 22 K, and there exists a gap in the low-temperature magnetic excitation spectrum. Based on the model Hamiltonian of LiVGe2O6, we propose a low-energy field theoryGinzburg-Landau theory for this compound. From this theory, we study the finite-temperature phase transition induced by spontaneous symmetry breaking and then calculate the finite-temperature susceptibility of LiVGe2O6. All the theoretical calculations are consistent with the experimental results.

Keywords:

作者及机构信息

黄海,
李伟锋

1.
华北电力大学数理学院, 北京 102206

基金项目: 中央高校基本科研业务费专项基金(批准号: 12ZP11,13TD03)资助的课题.

Authors and contacts

1.
Mathematics and Physics Department, North China Electric Power University, Beijing 102206, China

Funds: Project supported by the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant Nos. 12ZP11, 13TD03).

参考文献

[1]	Haldane F D M 1983 Phys. Rev. Lett. 50 1153
[2]	Haldane F D M 1983 Phys. Lett. 93A 464
[3]	Buyers W J L, Morra R M, Armstrong R L, Hogan M J, Gerlach P, Hirakawa K 1986 Phys. Rev. Lett. 56 371
[4]	Renard J P, Verdaguer M, Regnault L P, Erkelens W A C, Rossat-Mignod J, Stirling W G 1987 Europhys. Lett. 3 945
[5]	Lu W, Shen X, Liu P, von Ortenberg M, Tuchendler J, Renard J P, Zheng F 1995 Chin. Phys. Lett. 12 313
[6]	Mutka H, Soubeyroux J L, Bourleaux G, Colombet P 1989 Phys. Rev. B 39 4820
[7]	Xu G, DiTusa J F, Ito T, Oka K, Takagi H, Broholm C, Aeppli G 1996 Phys. Rev. B 54 R6827
[8]	Kong H Y, Zhang L, Song Y 2006 Acta Phys. Sin. 55 4865 (in Chinese) [孔红艳, 张林, 宋筠 2006 55 4865]
[9]	Millet P, Mila F, Zhang F C, Mambrini M, Van Oosten A B, Pashchenko V A, Sulpice A, Stepanov A 1999 Phys. Rev. Lett. 83 4176
[10]	Pedrini B, Wessel S, Gavilano J L, Ott H R, Kazakov S M, Karpinski J 2007 Eur. Phys. J. B 55 219
[11]	Lumsden M D, Granroth G E, Mandrus D, Nagler S E, Thompson J R, Castellan J P, Gaulin B D 2000 Phys. Rev. B 62 R924
[12]	Scalapino D J, Imry Y, Pinkus P 1975 Phys. Rev. B 11 2042
[13]	Wang Z G, Ding G H, Xu B W 1999 Acta Phys. Sin. 48 296 (in Chinese) [王治国, 丁国辉, 许伯威 1999 48 296]
[14]	Liu H L, Wang Z G, Yang C Q, Huang X S, Shi Y L 2007 Chin. Phys. 16 3858
[15]	Wang Q B, Xu X F, Tao Q, Wang H T, Xu Z A 2008 Chin. Phys. B 17 3490
[16]	Gavilano J L, Mushkolaj S, Ott H R, Millet P, Mila F 2000 Phys. Rev. Lett. 85 409
[17]	Vonlanthen P, Tanaka K B, Goto A, Clark W G, Millet P, Henry J Y, Gavilano J L, Ott H R, Mila F, Berthier C, Horvatic M, Tokunaga Y, Kuhns P, Reyes A P, Moulton W G 2002 Phys. Rev. B 65 214413
[18]	Affleck I 1989 J. Phys.: Condens. Matter 1 3047
[19]	Takahashi M 1989 Phys. Rev. Lett. 62 2313
[20]	Sorensen E S, Affleck I 1994 Phys. Rev. B 49 15771
[21]	Sorensen E S, Affleck I 1993 Phys. Rev. Lett. 71 1633
[22]	White S R 1992 Phys. Rev. Lett. 69 2863
[23]	White S R 1993 Phys. Rev. B 48 10345
[24]	White S R, Huse D A 1993 Phys. Rev. B 48 3844
[25]	Affleck I 1989 Phys. Rev. Lett. 62 474
[26]	Affleck I 1990 Phys. Rev. B 41 6697
[27]	Coleman S 1973 Commun. Math. Phys. 31 259
[28]	Coleman S 1975 Phys. Rev. D 11 2088
[29]	Huang K 1992 Quarks, Leptons and Gauge Fields (2nd Ed.) (Singapore: World Scientific) Chapter 10
[30]	Huang H, Affleck I 2004 Phys. Rev. B 69 184414
[31]	Lou J, Xiang T, Su Z 2000 Phys. Rev. Lett. 85 2380

施引文献

[1]	Haldane F D M 1983 Phys. Rev. Lett. 50 1153
[2]	Haldane F D M 1983 Phys. Lett. 93A 464
[3]	Buyers W J L, Morra R M, Armstrong R L, Hogan M J, Gerlach P, Hirakawa K 1986 Phys. Rev. Lett. 56 371
[4]	Renard J P, Verdaguer M, Regnault L P, Erkelens W A C, Rossat-Mignod J, Stirling W G 1987 Europhys. Lett. 3 945
[5]	Lu W, Shen X, Liu P, von Ortenberg M, Tuchendler J, Renard J P, Zheng F 1995 Chin. Phys. Lett. 12 313
[6]	Mutka H, Soubeyroux J L, Bourleaux G, Colombet P 1989 Phys. Rev. B 39 4820
[7]	Xu G, DiTusa J F, Ito T, Oka K, Takagi H, Broholm C, Aeppli G 1996 Phys. Rev. B 54 R6827
[8]	Kong H Y, Zhang L, Song Y 2006 Acta Phys. Sin. 55 4865 (in Chinese) [孔红艳, 张林, 宋筠 2006 55 4865]
[9]	Millet P, Mila F, Zhang F C, Mambrini M, Van Oosten A B, Pashchenko V A, Sulpice A, Stepanov A 1999 Phys. Rev. Lett. 83 4176
[10]	Pedrini B, Wessel S, Gavilano J L, Ott H R, Kazakov S M, Karpinski J 2007 Eur. Phys. J. B 55 219
[11]	Lumsden M D, Granroth G E, Mandrus D, Nagler S E, Thompson J R, Castellan J P, Gaulin B D 2000 Phys. Rev. B 62 R924
[12]	Scalapino D J, Imry Y, Pinkus P 1975 Phys. Rev. B 11 2042
[13]	Wang Z G, Ding G H, Xu B W 1999 Acta Phys. Sin. 48 296 (in Chinese) [王治国, 丁国辉, 许伯威 1999 48 296]
[14]	Liu H L, Wang Z G, Yang C Q, Huang X S, Shi Y L 2007 Chin. Phys. 16 3858
[15]	Wang Q B, Xu X F, Tao Q, Wang H T, Xu Z A 2008 Chin. Phys. B 17 3490
[16]	Gavilano J L, Mushkolaj S, Ott H R, Millet P, Mila F 2000 Phys. Rev. Lett. 85 409
[17]	Vonlanthen P, Tanaka K B, Goto A, Clark W G, Millet P, Henry J Y, Gavilano J L, Ott H R, Mila F, Berthier C, Horvatic M, Tokunaga Y, Kuhns P, Reyes A P, Moulton W G 2002 Phys. Rev. B 65 214413
[18]	Affleck I 1989 J. Phys.: Condens. Matter 1 3047
[19]	Takahashi M 1989 Phys. Rev. Lett. 62 2313
[20]	Sorensen E S, Affleck I 1994 Phys. Rev. B 49 15771
[21]	Sorensen E S, Affleck I 1993 Phys. Rev. Lett. 71 1633
[22]	White S R 1992 Phys. Rev. Lett. 69 2863
[23]	White S R 1993 Phys. Rev. B 48 10345
[24]	White S R, Huse D A 1993 Phys. Rev. B 48 3844
[25]	Affleck I 1989 Phys. Rev. Lett. 62 474
[26]	Affleck I 1990 Phys. Rev. B 41 6697
[27]	Coleman S 1973 Commun. Math. Phys. 31 259
[28]	Coleman S 1975 Phys. Rev. D 11 2088
[29]	Huang K 1992 Quarks, Leptons and Gauge Fields (2nd Ed.) (Singapore: World Scientific) Chapter 10
[30]	Huang H, Affleck I 2004 Phys. Rev. B 69 184414
[31]	Lou J, Xiang T, Su Z 2000 Phys. Rev. Lett. 85 2380

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