镶嵌正方晶格上Gauss模型的相图

孙春峰

doi:10.7498/aps.61.086802

摘要

利用等效变换和自旋重标相结合的方法, 研究了镶嵌正方晶格上的Gauss模型. 研究发现, 该系统可以变换为正方晶格上具有最近邻和次近邻相互作用的Gauss系统, 由此严格求得了镶嵌正方晶格上Gauss模型的临界温度, 得到了该系统的精确相图.

关键词:

Using equivalent transformation and spin-rescaling methods, the Gauss model on a decorated square lattice is studied. It is found that the square decorated Gauss lattice could be transformed into a regular square Gauss lattice with nearest-neighbor, and next-nearest-neighbor interactions. By calculating the regular square-lattice Gauss model, the critical temperature of the Gauss model is obtained on a decorated square lattice, and the exact phase diagram of this system can also be obtained.

Keywords:

作者及机构信息

孙春峰

1.
孝感学院物理与电子信息工程学院, 孝感 432000

基金项目: 湖北省教育厅科学技术计划研究重点项目(批准号: D200726001)资助的课题.

Authors and contacts

Sun Chun-Feng

1.
School of Physics and Electronic Information Engineering, Xiaogan University, Xiaogan 432000, China

Funds: Project supported by the Key Program of Science and Technology Research of the Education Bureau of Hubei Province, China (Grant No. D200726001).

参考文献

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施引文献

[1]	Ma S K 1976 Modern Theory of Critical Phenomena (London: Benjamin)
[2]
[3]
[4]	Goldenfeld N 1992 Lectures on Phase Transitions and the Renormalization Group (Massachusetts: Addison-Wesley)
[5]	Cardy J 1998 Scaling and Renormalization in Statistical Physics (London: Cambridge University)
[6]
[7]	Stanley H E 1999 Rev. Mod. Phys. 71 5358
[8]
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[10]	Yang Z R 1996 Fractal Physics (Shanghai: Shanghai Scientific and Technological Education Publishing House) (in Chinese) [杨展如 1996 分形物理学 (上海: 上海科技教育出版社)]
[11]
[12]	Li S, Yang Z R 1997 Phys. Rev. E 55 6656
[13]
[14]	Zhu J Y, Yang Z R 1999 Phys. Rev. E 59 1551
[15]
[16]	Kong X M, Yang Z R 2004 Phys. Rev. E 69 016101
[17]	Sun C F 2005 Acta Phys. Sin. 54 3768 ( in Chinese) [孙春峰 2005 54 3768]
[18]
[19]
[20]	Yin X C, Yin H, Kong X M 2006 Acta Phys. Sin. 55 4901 (in Chinese) [尹训昌, 尹慧, 孔祥木 2006 55 4901]
[21]
[22]	Li Y, Kong X M, Huang J Y 2002 Acta Phys. Sin. 51 1364 (in Chinese) [李英, 孔祥木, 黄家寅 2002 51 1364]
[23]	Liu J, Kong X M, Li Y P, Huang J Y 2004 Acta Phys. Sin. 53 2275 (in Chinese) [刘杰, 孔祥木, 李永平, 黄家寅 2004 53 2275]
[24]
[25]	Kong X M, Lin Z Q, Zhu J Y 2000 Sci. Chin. A 30 661 (in Chinese) [孔祥木, 林振权, 朱建阳 2000 中国科学A 30 661]
[26]
[27]
[28]	Lin Z Q, Kong X M 2001 Chin. Phys. Lett. 18 882
[29]
[30]	Zou W K, Kong X M, Wang C Y, Gao Z Y 2010 Acta Phys. Sin. 59 4874 (in Chinese) [邹维科, 孔祥木, 王春阳, 高中扬 2010 59 4874]
[31]
[32]	Onsager L 1944 Phys. Rev. 65 117
[33]
[34]	Baxter R J 1982 Exactly Solved Models in Statistical Mechanics (New York: Academic)
[35]
[36]	Zhang S J, Jiang J J, Liu Y J 2008 Acta Phys. Sin. 57 531 (in Chinese) [张松俊, 蒋建军, 刘拥军 2008 57 531]
[37]	Lackova L, Horiguchi T 2003 Physica A 319 311
[38]
[39]
[40]	Wang C Y, Kong X M 2005 Acta Phys. Sin. 54 4365 (in Chinese) [王春阳, 孔祥木 2005 54 4365]
[41]
[42]	Sun C F, Kong X M, Yin X C 2006 Commun. Theor. Phys. 45 555
[43]
[44]	Strecka J, Jascur M 2002 Phys. Rev. B 66 174415
[45]	Strecka J, Jascur M 2003 J. Magn. Magn. Mater. 260 415
[46]
[47]	Berlin T H, Kac M 1952 Phys. Rev. 86 821
[48]
[49]
[50]	Hu B 1982 Phys. Rep. 91 233
[51]	Yang Z R 2007 Quantum Statistical Physics (Beijing: Higher Education Press) pp298, 299, 313 (in Chinese) [杨展如 2007 量子统计物理学 (北京: 高等教育出版社)第298, 299, 313页]

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