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

[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

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

[1]	张桥, 谭薇, 宁勇祺, 聂国政, 蔡孟秋, 王俊年, 朱慧平, 赵宇清. 基于机器学习和第一性原理计算的Janus材料的预测. , 2024, 73(23): 230201. doi: 10.7498/aps.73.20241278
[2]	黎威, 龙连春, 刘静毅, 杨洋. 基于机器学习的无机磁性材料磁性基态分类与磁矩预测. , 2022, 71(6): 060202. doi: 10.7498/aps.71.20211625
[3]	王思远, 梁添寿, 时朋朋. 金属磁记忆应变诱导磁性变化的原子尺度作用机理. , 2022, 71(19): 197502. doi: 10.7498/aps.71.20220745
[4]	马堃, 陈展斌, 黄时中. 等离子体屏蔽效应对Ar¹⁶⁺基态和激发态能级的影响. , 2019, 68(2): 023102. doi: 10.7498/aps.68.20181915
[5]	牟致栋. Rh XIII—Cd XVI离子4s²4p³—4s4p⁴能级与跃迁的理论计算. , 2019, 68(6): 063101. doi: 10.7498/aps.68.20181976
[6]	陈传文, 项阳. 正交各向异性双层交换弹簧薄膜的磁矩分布. , 2016, 65(12): 127502. doi: 10.7498/aps.65.127502
[7]	潘凤春, 林雪玲, 陈焕铭. 阳离子空位磁矩起因探讨. , 2015, 64(17): 176101. doi: 10.7498/aps.64.176101
[8]	董雪, 张国营, 夏往所, 黄逸佳, 胡风. Dy3Al5O12磁热性质研究. , 2015, 64(17): 177502. doi: 10.7498/aps.64.177502
[9]	乔亮, 羊富贵, 武永华, 柯友刚, 夏忠朝. Tm,Ho双掺调Q激光系统理论与实验研究. , 2014, 63(21): 214205. doi: 10.7498/aps.63.214205
[10]	黄逸佳, 张国营, 胡风, 夏往所, 刘海顺. PrNi2的磁和磁热性能研究. , 2014, 63(22): 227501. doi: 10.7498/aps.63.227501
[11]	吕厚祥, 石德政, 谢征微. 铁磁/半导体(绝缘体)/铁磁异质结中渡越时间与两铁磁层磁矩夹角变化的关系. , 2013, 62(20): 208502. doi: 10.7498/aps.62.208502
[12]	蒋利娟, 张现周, 马欢强, 贾光瑞, 张永慧, 夏立华. 啁啾微波场中里德伯钠原子高激发态的布居跃迁. , 2012, 61(4): 043101. doi: 10.7498/aps.61.043101
[13]	程萍, 张玉明, 张义门. 退火对非故意掺杂4H-SiC外延材料386 nm和388 nm发射峰的影响. , 2011, 60(1): 017103. doi: 10.7498/aps.60.017103
[14]	赵文杰, 王清林, 任凤竹, 罗有华. 第一性原理计算ZrnFe(n=2—13)团簇的基态结构及其磁性. , 2007, 56(10): 5746-5753. doi: 10.7498/aps.56.5746
[15]	杜泉, 王玲, 谌晓洪, 高涛. VOn±(n=0,1,2)的势能函数与光谱常数研究. , 2006, 55(12): 6308-6314. doi: 10.7498/aps.55.6308
[16]	曾雄辉, 赵广军, 张连翰, 何晓明, 杭寅, 李红军, 徐军. 铝酸镧单晶体中Ce3+的能级结构和荧光特性. , 2005, 54(2): 612-616. doi: 10.7498/aps.54.612
[17]	侯春风, 郭汝海. 椭圆柱形量子点的能级结构. , 2005, 54(5): 1972-1976. doi: 10.7498/aps.54.1972
[18]	朱嘉琦, 王景贺, 孟松鹤, 韩杰才, 张连生. 不同能级加速过滤电弧沉积四面体非晶碳膜的结构和性能. , 2004, 53(4): 1150-1156. doi: 10.7498/aps.53.1150
[19]	毛华平, 王红艳, 唐永建, 朱正和, 郑少涛. 电荷对Cu2n±(n=0,1,2)分子离子的势能函数和能级的影响. , 2004, 53(1): 37-41. doi: 10.7498/aps.53.37
[20]	陈丽, 李华, 董建敏, 潘凤春, 梅良模. 原子簇La8-xBaxCuO6的原子磁矩和自旋极化的电子结构研究. , 2004, 53(1): 254-259. doi: 10.7498/aps.53.254

计量

文章访问数: 8594
PDF下载量: 676
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板