搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

任意正多边形量子环自旋输运的普遍解

付邦 邓文基

引用本文:
Citation:

任意正多边形量子环自旋输运的普遍解

付邦, 邓文基

General solutions to spin transportation of electrons through equilateral polygon quantum rings with Rashba spin-orbit interaction

Fu Bang, Deng Wen-Ji
PDF
导出引用
  • 在有关偶数正多边形量子环对称连接特殊情形的自旋输运特性的研究基础上,进一步探讨了任意正多边形量子环的自旋输运性质.不仅解析地求解了相关电子散射问题,而且得到了 Landauer-Buttiker 电导的普遍公式,并讨论了它的圆环极限和 Aharonov-Casher 相位问题.结合数值计算,研究了正多边形量子环的Landauer-Buttiker 电导随多边形边数、引线连接方式、自旋轨道耦合强度以及电子波矢的周期变化特性和零点分布规律.
    Based on the previous work (Li P, Deng W J 2009 Acta Phys. Sin. 58 02713), the quantum transportation of electron through arbitrary equilateral polygons quantum rings with Rashba spin-orbit interaction is studied. With the typical method of quantum network and the Landauer-Büttiker formalism, we analytically solve the scattering problem of electron through equilateral polygonal quantum ring, and obtain the relevant formula for spin transportation conductance. The characteristics of the conductance varying with the wave-vector of electron, the strength of spin-orbit interaction, the number of polygon edges, and the ways of leads connecting to quantum rings are discussed. In the limit of infinite number of edges of polygon, we prove that the formula is consistent with the results obtained directly from the circular model of quantum rings.
    • 基金项目: 华南理工大学中央高校基本科研业务费(批准号:2009ZM0299)资助的课题.
    [1]

    [1]Winkler R 2003 Spin-orbit Coupling Effects in Two-dimensional Electron and Hole Systems (Berlin/Heidelberg:Springer-Verlag) p69

    [2]

    [2]Grundler D 2000 Phys. Rev. Lett. 84 6074

    [3]

    [3]Sato Y, Kita T, Gozu S, Yamada S 2001 J. Appl. Phys. 89 8017

    [4]

    [4]Qiu Z J, Gui Y S, Shu X Z, Dai N, Guo S L, Chu J H 2004 Acta Phys. Sin. 53 1186 (in Chinese) [仇志军、桂永胜、疏小舟、戴宁、郭少令、褚君浩 2004 物理学报 53 1186][5]Song H Z, Zhang P, Duan S Q, Zhao X G 2006 Chin. Phys. 15 3019

    [5]

    [6]Zhu B, Gui Y S, Qiu Z J, Zhou W Z, Yao W, Guo S L, Chu J H, Zhang F J 2006 Acta Phys. Sin. 55 786 (in Chinese)

    [6]

    [朱博、桂永胜、仇志军、周文政、姚炜、郭少令、褚君浩、张福甲 2006 物理学报 55 786]

    [7]

    [7]Zhou W Z, Lin T, Shang L Y, Huang Z M, Cui L J, Li D L, Gao H L, Zeng Y P, Guo S L, Gui Y S, Chu J H 2007 Acta Phys. Sin. 56 4099 (in Chinese) [周文政、林铁、商丽燕、黄志明、崔利杰、李东临、高宏玲、曾一平、郭少令、桂永胜、褚君浩 2007 物理学报 56 4099]

    [8]

    [8]Xu T N, Wu H Z, Sui C H 2008 Acta Phys. Sin. 57 7865 (in Chinese) [徐天宁、吴惠桢、隋成华 2008 物理学报 57 7865]

    [9]

    [9]Nitta J, Akazaki T, Takayanagi H, Enoki T 1997 Phys. Rev. Lett. 78 1335

    [10]

    ]Koga T, Sekine Y, Nitta J 2006 Phys. Rev. B 74 041302R

    [11]

    ]Zutic I, Fabian J, Sarma S D 2004 Rev. Mod. Phys. 76 323

    [12]

    ]Xia J B 1992 Phys. Rev. B 45 3593

    [13]

    ]Nitta J, Meijer F E, Takayanagi H 1999 Appl. Phys. Lett. 75 695

    [14]

    ]Frustaglia D, Richter K 2004 Phys. Rev. B 69 235310

    [15]

    ]Molnar B, Peeters F M, Vasilopoulos P 2004 Phys. Rev. B 69 155335

    [16]

    ]Foldi P, Molnar B, Benedict M G, Peeters F M 2005 Phys. Rev. B 71 033309

    [17]

    ]Citro R, Romeo F 2007 Phys. Rev. B 75 073306

    [18]

    ]Zhang X H, Xiong S J 2008 Chin. Phys. Lett. 25 5

    [19]

    ]Wang J M, Wang R, Liang J Q 2007 Chin. Phys. 16 2075

    [20]

    ]Dong Y K, Li Y X 2008 J. Appl. Phys. 103 113716

    [21]

    ]Du J, Li C G, Qin F 2009 Acta Phys. Sin. 58 3448 (in chinese) [杜坚、李春光、秦芳 2009 物理学报 58 3448]

    [22]

    ]Koga T, Nitta J, van Veenhuizen M J 2004 Phys. Rev. B 70 161302R

    [23]

    ]Bercioux D, Governale M, Cataudella V, Ramaglia V M 2004 Phys. Rev. Lett. 93 056802

    [24]

    ]Bercioux D, Governale M, Cataudella V, Ramaglia V M 2005 Phys. Rev. B 72 075305

    [25]

    ]Bercioux D, Frustaglia D, Governale M 2005 Phys. Rev. B 72 113310

    [26]

    ]Van Veenhuizen M J, Koga T, Nitta J 2006 Phys. Rev. B 73 235315

    [27]

    ]Ramaglia V M, Cataudella V, Filippis G D, Perroni C A 2006 Phys. Rev. B 73 155328

    [28]

    ]Li P, Deng W J 2009 Acta Phys. Sin. 58 2713 (In Chinese)[李鹏、邓文基 2009 物理学报 58 2713][29]Bergsten T, Kobayashi T, Sekine Y, Nitta J 2006 Phys. Rev. Lett. 97 196803

    [29]

    ]Konig M, Tschetschetkin A, Hankiewicz E M, Sinova J, Hock V, Daumer V, Schfer M, Becker C R, Buhmann H, Molenkamp L W 2006 Phys. Rev. Lett. 96 076804

    [30]

    ]Grbic B, Leturcq R, Ihn T, Ensslin K, Reuter D, Wieck A D 2007 Phys. Rev. Lett. 99 176803

    [31]

    ]Zhu Z Y, Wang Y, Xia K, Xie X C, Ma Z S 2007 Phys. Rev. B 76 125311

    [32]

    ]Kalman O, Foldi P, Benedict M G, Peeters F M 2008 Phys. Rev. B 78 125306

    [33]

    ]Datta S 1997 Electronic Transport in Mesoscopic Systems (Cambridge: Cambridge University Press) p57

    [34]

    ]Aharonov Y, Casher A, Cimmino A, Opat G I 1984 Phys. Rev. Lett. 53 319

  • [1]

    [1]Winkler R 2003 Spin-orbit Coupling Effects in Two-dimensional Electron and Hole Systems (Berlin/Heidelberg:Springer-Verlag) p69

    [2]

    [2]Grundler D 2000 Phys. Rev. Lett. 84 6074

    [3]

    [3]Sato Y, Kita T, Gozu S, Yamada S 2001 J. Appl. Phys. 89 8017

    [4]

    [4]Qiu Z J, Gui Y S, Shu X Z, Dai N, Guo S L, Chu J H 2004 Acta Phys. Sin. 53 1186 (in Chinese) [仇志军、桂永胜、疏小舟、戴宁、郭少令、褚君浩 2004 物理学报 53 1186][5]Song H Z, Zhang P, Duan S Q, Zhao X G 2006 Chin. Phys. 15 3019

    [5]

    [6]Zhu B, Gui Y S, Qiu Z J, Zhou W Z, Yao W, Guo S L, Chu J H, Zhang F J 2006 Acta Phys. Sin. 55 786 (in Chinese)

    [6]

    [朱博、桂永胜、仇志军、周文政、姚炜、郭少令、褚君浩、张福甲 2006 物理学报 55 786]

    [7]

    [7]Zhou W Z, Lin T, Shang L Y, Huang Z M, Cui L J, Li D L, Gao H L, Zeng Y P, Guo S L, Gui Y S, Chu J H 2007 Acta Phys. Sin. 56 4099 (in Chinese) [周文政、林铁、商丽燕、黄志明、崔利杰、李东临、高宏玲、曾一平、郭少令、桂永胜、褚君浩 2007 物理学报 56 4099]

    [8]

    [8]Xu T N, Wu H Z, Sui C H 2008 Acta Phys. Sin. 57 7865 (in Chinese) [徐天宁、吴惠桢、隋成华 2008 物理学报 57 7865]

    [9]

    [9]Nitta J, Akazaki T, Takayanagi H, Enoki T 1997 Phys. Rev. Lett. 78 1335

    [10]

    ]Koga T, Sekine Y, Nitta J 2006 Phys. Rev. B 74 041302R

    [11]

    ]Zutic I, Fabian J, Sarma S D 2004 Rev. Mod. Phys. 76 323

    [12]

    ]Xia J B 1992 Phys. Rev. B 45 3593

    [13]

    ]Nitta J, Meijer F E, Takayanagi H 1999 Appl. Phys. Lett. 75 695

    [14]

    ]Frustaglia D, Richter K 2004 Phys. Rev. B 69 235310

    [15]

    ]Molnar B, Peeters F M, Vasilopoulos P 2004 Phys. Rev. B 69 155335

    [16]

    ]Foldi P, Molnar B, Benedict M G, Peeters F M 2005 Phys. Rev. B 71 033309

    [17]

    ]Citro R, Romeo F 2007 Phys. Rev. B 75 073306

    [18]

    ]Zhang X H, Xiong S J 2008 Chin. Phys. Lett. 25 5

    [19]

    ]Wang J M, Wang R, Liang J Q 2007 Chin. Phys. 16 2075

    [20]

    ]Dong Y K, Li Y X 2008 J. Appl. Phys. 103 113716

    [21]

    ]Du J, Li C G, Qin F 2009 Acta Phys. Sin. 58 3448 (in chinese) [杜坚、李春光、秦芳 2009 物理学报 58 3448]

    [22]

    ]Koga T, Nitta J, van Veenhuizen M J 2004 Phys. Rev. B 70 161302R

    [23]

    ]Bercioux D, Governale M, Cataudella V, Ramaglia V M 2004 Phys. Rev. Lett. 93 056802

    [24]

    ]Bercioux D, Governale M, Cataudella V, Ramaglia V M 2005 Phys. Rev. B 72 075305

    [25]

    ]Bercioux D, Frustaglia D, Governale M 2005 Phys. Rev. B 72 113310

    [26]

    ]Van Veenhuizen M J, Koga T, Nitta J 2006 Phys. Rev. B 73 235315

    [27]

    ]Ramaglia V M, Cataudella V, Filippis G D, Perroni C A 2006 Phys. Rev. B 73 155328

    [28]

    ]Li P, Deng W J 2009 Acta Phys. Sin. 58 2713 (In Chinese)[李鹏、邓文基 2009 物理学报 58 2713][29]Bergsten T, Kobayashi T, Sekine Y, Nitta J 2006 Phys. Rev. Lett. 97 196803

    [29]

    ]Konig M, Tschetschetkin A, Hankiewicz E M, Sinova J, Hock V, Daumer V, Schfer M, Becker C R, Buhmann H, Molenkamp L W 2006 Phys. Rev. Lett. 96 076804

    [30]

    ]Grbic B, Leturcq R, Ihn T, Ensslin K, Reuter D, Wieck A D 2007 Phys. Rev. Lett. 99 176803

    [31]

    ]Zhu Z Y, Wang Y, Xia K, Xie X C, Ma Z S 2007 Phys. Rev. B 76 125311

    [32]

    ]Kalman O, Foldi P, Benedict M G, Peeters F M 2008 Phys. Rev. B 78 125306

    [33]

    ]Datta S 1997 Electronic Transport in Mesoscopic Systems (Cambridge: Cambridge University Press) p57

    [34]

    ]Aharonov Y, Casher A, Cimmino A, Opat G I 1984 Phys. Rev. Lett. 53 319

  • [1] 丁锦廷, 胡沛佳, 郭爱敏. 线缺陷石墨烯纳米带的电输运研究. 物理学报, 2023, 72(15): 157301. doi: 10.7498/aps.72.20230502
    [2] 高建华, 盛欣力, 王群, 庄鹏飞. 费米子的相对论自旋输运理论. 物理学报, 2023, 72(11): 112501. doi: 10.7498/aps.72.20222470
    [3] 刘天, 李宗良, 张延惠, 蓝康. 耗散环境单量子点体系输运过程的量子速度极限研究. 物理学报, 2023, 72(4): 047301. doi: 10.7498/aps.72.20222159
    [4] 王志梅, 王虹, 薛乃涛, 成高艳. 自旋轨道耦合量子点系统中的量子相干. 物理学报, 2022, 71(7): 078502. doi: 10.7498/aps.71.20212111
    [5] 方静云, 孙庆丰. 石墨烯p-n结在磁场中的电输运热耗散. 物理学报, 2022, 71(12): 127203. doi: 10.7498/aps.71.20220029
    [6] 胡海涛, 郭爱敏. 双层硼烯纳米带的量子输运研究. 物理学报, 2022, 71(22): 227301. doi: 10.7498/aps.71.20221304
    [7] 贺振兴, 范兴奎, 初鹏程, 马鸿洋. 基于Cayley图上量子漫步的匿名通信方案. 物理学报, 2020, 69(16): 160301. doi: 10.7498/aps.69.20200333
    [8] 吴歆宇, 韩伟华, 杨富华. 硅纳米结构晶体管中与杂质量子点相关的量子输运. 物理学报, 2019, 68(8): 087301. doi: 10.7498/aps.68.20190095
    [9] 杨天书, 周宗权, 李传锋, 郭光灿. 多模式固态量子存储. 物理学报, 2019, 68(3): 030303. doi: 10.7498/aps.68.20182207
    [10] 闫婕, 魏苗苗, 邢燕霞. HgTe/CdTe量子阱中自旋拓扑态的退相干效应. 物理学报, 2019, 68(22): 227301. doi: 10.7498/aps.68.20191072
    [11] 闫瑞, 吴泽文, 谢稳泽, 李丹, 王音. 导线非共线的分子器件输运性质的第一性原理研究. 物理学报, 2018, 67(9): 097301. doi: 10.7498/aps.67.20172221
    [12] 李兆国, 张帅, 宋凤麒. 拓扑绝缘体的普适电导涨落. 物理学报, 2015, 64(9): 097202. doi: 10.7498/aps.64.097202
    [13] 杨光, 廉保旺, 聂敏. 多跳噪声量子纠缠信道特性及最佳中继协议. 物理学报, 2015, 64(24): 240304. doi: 10.7498/aps.64.240304
    [14] 马鸿洋, 秦国卿, 范兴奎, 初鹏程. 噪声情况下的量子网络直接通信. 物理学报, 2015, 64(16): 160306. doi: 10.7498/aps.64.160306
    [15] 白旭芳, 乌云其木格, 辛伟, 额尔敦朝鲁. Rashba自旋-轨道相互作用影响下量子盘中强耦合磁极化子性质的研究. 物理学报, 2014, 63(17): 177803. doi: 10.7498/aps.63.177803
    [16] 李明, 张荣, 刘斌, 傅德颐, 赵传阵, 谢自力, 修向前, 郑有炓. AlGaN/GaN量子阱中子带的Rashba自旋劈裂和子带间自旋轨道耦合作用研究. 物理学报, 2012, 61(2): 027103. doi: 10.7498/aps.61.027103
    [17] 孙伟峰. (InAs)1/(GaSb)1超晶格原子链的第一原理研究. 物理学报, 2012, 61(11): 117104. doi: 10.7498/aps.61.117104
    [18] 张彩霞, 郭虹, 杨致, 骆游桦. 三明治结构Tan(B3N3H6)n+1 团簇的磁性和量子输运性质. 物理学报, 2012, 61(19): 193601. doi: 10.7498/aps.61.193601
    [19] 尹永琦, 李华, 马佳宁, 贺泽龙, 王选章. 多端耦合量子点分子桥的量子输运特性研究. 物理学报, 2009, 58(6): 4162-4167. doi: 10.7498/aps.58.4162
    [20] 李鹏, 邓文基. 正多边形量子环自旋输运的严格解. 物理学报, 2009, 58(4): 2713-2719. doi: 10.7498/aps.58.2713
计量
  • 文章访问数:  8633
  • PDF下载量:  1080
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-06-16
  • 修回日期:  2009-07-30
  • 刊出日期:  2010-02-05

/

返回文章
返回