一维铁磁链中量子孤波的能级和磁矩

李德俊; 米贤武; 邓科

doi:10.7498/aps.59.7344

摘要

使用Hartree近似和一种简化的准离散多标度方法,研究了具有交换作用和经典磁矩相互作用的一维铁磁链中的量子孤波解. 这种一维铁磁链中不仅存在着运动的量子孤波,也存在着静态的量子孤波(即量子内禀局域模).利用所获得的量子孤波解,进一步研究了量子孤波的能级和由量子孤波所携带的磁矩. 研究表明,量子孤波的能量和磁矩都是量子化的,这些结果为正确理解磁性材料中像磁滞回线的量子台阶等宏观量子特性提供了一条可能的途径.

关键词:

一维铁磁链 /
量子孤波 /
能级 /
磁矩

Abstract

By using the Hartree approximation and the simplified method of quasidiscreteness multiple scales, we have studied quantum solitary wave solutions for a one-dimensional ferromagnetic chain with exchange interaction and classical magnetic moment interaction. In this chain there are both traveling and stationary quantum solilary waves. With the help of the obtained quantum solitary wave solution, the energy levels and magnetic moments of the quantum solitary wave have been investigated further. It is shown that the energy and magnetic moments of the quantum solitary wave are quantized. These novel results provide a possible way for understanding macroscopic quantum effects such as quantum steps of the hysteresis loop in magnetic materials.

Keywords:

作者及机构信息

1.
吉首大学物理科学与信息工程学院,吉首 416000

基金项目: 湖南省教育厅科研基金(批准号:09C825)资助的课题.

Authors and contacts

1.
College of Physics Science and Information Engineering, Jishou University, Jishou 416000, China

参考文献

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[9]	Cheng T M, Xian Y Z 2006 Acta Phys. Sin. 55 4828 (in Chinese)[成泰民、鲜于泽 2006 55 4828]
[10]	Cheng T M 2007 Acta Phys. Sin. 56 1066 (in Chinese)[成泰民 2007 56 1066]
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[17]	Zheng Q, Zhang X P, Zhi Q J, Ren Z Z 2009 Chin. Phys. B 18 3210
[18]	Huang L Y, Fang M F 2008 Chin. Phys. B 17 2339
[19]	Zhang T, Xi X Q, Yue R H 2004 Acta Phys. Sin. 53 2755 (in Chinese)[张涛、惠小强、岳瑞宏 2004 53 2755]
[20]	Cai Z, Lu W B, Liu Y J 2008 Acta Phys. Sin. 57 7267 (in Chinese)[蔡卓、陆文彬、刘拥军2008 57 7267]
[21]	Qin M, Tian D P, Tao Y J 2008 Acta Phys. Sin. 57 5395 (in Chinese)[秦猛、田东平、陶应娟 2008 57 5395]
[22]	Qin M, Xu S L, Tao Y J, Tian D P 2008 Chin. Phys. B 17 2800
[23]	Zhu Y, Zhu S Q, Hao X 2007 Chin. Phys. 16 2229
[24]	Wallis R F, Mills D L, Boardman A D 1995 Phys. Rev. B 52 3828
[25]	Takeno S, Kawasaki K 1992 Phys. Rev. B 45 5083
[26]	Lai R, Kiselev S A, Sievers A J 1996 Phys. Rev. B 54 12655
[27]	Lai R, Sievers A J 1997 J. Appl. Phys. 81 3972
[28]	Lai R, Kiselev S A, Sievers A J 1997 Phys. Rev. B 56 5345
[29]	English L Q, Sato M, Sievers A J 2001 J. Appl. Phys. 89 6707
[30]	Sato M, English L Q, Hubbard B E, Sievers A J 2002 J. Appl. Phys. 91 8676
[31]	Li D J, Mi X W, Deng K, Tang Y 2006 Chin. Phys. 15 39
[32]	Li D J, Wang X Y, Mi X W,Xue J 2008 Commun. Theor. Phys. 50 1177
[33]	Holstein T, Primakoff H 1940 Phys. Rev. 58 1098
[34]	Wright E, Eilbeck J C, Hays M H 1993 Physica D 69 18
[35]	Schwarz U T, English L Q, Sievers A J 1999 Phys. Rev. Lett. 83 223

施引文献

[1]	Baibich M N,Broto J M 1988 Phys. Rev. Lett. 67 2472
[2]	Klitzing K V, Dorda G, Pepper M 1980 Phys. Rev. Lett. 45 494
[3]	Tsui D C, Stomer H L,Gossard A C 1982 Phys. Rev. Lett. 48 1559
[4]	Friedman J R, Sarachik M P, Tejada J 1996 Phys. Rev. Lett. 76 3830
[5]	Friedman J R, Sarachik M P, Tejada J 1996 J. Appl. Phys. 79 6031
[6]	Zhong J 1990 Acta Phys. Sin. 39 486 (in Chinese)[钟健 1990 39 486]
[7]	Ying H P, Ji D R 1993 Acta Phys. Sin. 42 1845 (in Chinese)[应和平、季达人 1993 42 1845]
[8]	Lin N, Yu Z R 1993 Acta Phys. Sin. 42 1990 (in Chinese)[林念、于祖荣 1993 42 1990]
[9]	Cheng T M, Xian Y Z 2006 Acta Phys. Sin. 55 4828 (in Chinese)[成泰民、鲜于泽 2006 55 4828]
[10]	Cheng T M 2007 Acta Phys. Sin. 56 1066 (in Chinese)[成泰民 2007 56 1066]
[11]	Wang H Y, Xia Q 2007 Acta Phys. Sin. 56 5466 (in Chinese)[王怀玉、夏青 2007 56 5466]
[12]	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]
[13]	He B, Ying H P, Ji D R 1996 Acta Phys. Sin. 45 522 (in Chinese)[何兵、应和平、季达人1996 45 522]
[14]	Bao S Q, Zhao H, Shen J L, Yang G Z 1996 Phys. Rev. B 53 735
[15]	Gao Y, Zhang Y M, Chen H 2000 Acta Phys. Sin. 49 1586 (in Chinese)[高阳、章豫梅、陈鸿2000 49 1586]
[16]	Xi X Q, Chen W X, Liu Q, Yue R H 2006 Acta Phys. Sin. 55 3026 (in Chinese)[惠小强、陈文学、刘起、岳瑞宏 2006 55 3026]
[17]	Zheng Q, Zhang X P, Zhi Q J, Ren Z Z 2009 Chin. Phys. B 18 3210
[18]	Huang L Y, Fang M F 2008 Chin. Phys. B 17 2339
[19]	Zhang T, Xi X Q, Yue R H 2004 Acta Phys. Sin. 53 2755 (in Chinese)[张涛、惠小强、岳瑞宏 2004 53 2755]
[20]	Cai Z, Lu W B, Liu Y J 2008 Acta Phys. Sin. 57 7267 (in Chinese)[蔡卓、陆文彬、刘拥军2008 57 7267]
[21]	Qin M, Tian D P, Tao Y J 2008 Acta Phys. Sin. 57 5395 (in Chinese)[秦猛、田东平、陶应娟 2008 57 5395]
[22]	Qin M, Xu S L, Tao Y J, Tian D P 2008 Chin. Phys. B 17 2800
[23]	Zhu Y, Zhu S Q, Hao X 2007 Chin. Phys. 16 2229
[24]	Wallis R F, Mills D L, Boardman A D 1995 Phys. Rev. B 52 3828
[25]	Takeno S, Kawasaki K 1992 Phys. Rev. B 45 5083
[26]	Lai R, Kiselev S A, Sievers A J 1996 Phys. Rev. B 54 12655
[27]	Lai R, Sievers A J 1997 J. Appl. Phys. 81 3972
[28]	Lai R, Kiselev S A, Sievers A J 1997 Phys. Rev. B 56 5345
[29]	English L Q, Sato M, Sievers A J 2001 J. Appl. Phys. 89 6707
[30]	Sato M, English L Q, Hubbard B E, Sievers A J 2002 J. Appl. Phys. 91 8676
[31]	Li D J, Mi X W, Deng K, Tang Y 2006 Chin. Phys. 15 39
[32]	Li D J, Wang X Y, Mi X W,Xue J 2008 Commun. Theor. Phys. 50 1177
[33]	Holstein T, Primakoff H 1940 Phys. Rev. 58 1098
[34]	Wright E, Eilbeck J C, Hays M H 1993 Physica D 69 18
[35]	Schwarz U T, English L Q, Sievers A J 1999 Phys. Rev. Lett. 83 223

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