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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

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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

Analysis of the finite-temperature phase transition of Heisenberg antiferromagnetic compound LiVGe2O6

Huang Hai, Li Wei-Feng
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  • 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.
    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.
    • 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.
    • Funds: Project supported by the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant Nos. 12ZP11, 13TD03).
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    [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 物理学报 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

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    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 物理学报 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

  • [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 物理学报 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 物理学报 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

计量
  • 文章访问数:  4471
  • PDF下载量:  413
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-06-28
  • 修回日期:  2013-08-07
  • 刊出日期:  2013-11-05

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