扶手椅型石墨烯介观环中的持续电流

代楠; 邓文基

doi:10.7498/aps.64.017302

摘要

在紧束缚近似下, 解析求解了扶手椅型边界石墨烯介观环的能量本征值问题, 计算和讨论了不同大小尺寸的介观环中持续电流随Aharonov-Bohm (A-B)磁通的变化, 并证明了能级和持续电流关于磁通变化的周期性和特殊对称性. 研究表明, 持续电流显著地依赖于介观环的几何结构; 零能量附近的能级可以承载较大的持续电流, 而远离零能量的其他能级对持续电流的贡献很小.

关键词:

Based on the tight-binding model, the energy spectrum and persistent currents of mesoscopic graphene rings with armchair edges are studied analytically and numerically. Characters of the persistent currents changing with Aharonov-Bohm (A-B) magnetic flux in rings in different geometry are investigated in datail. The periodicity and special symmetry of energy spectrum and persistent currents changing with the magnetic flux are revealed. It is demonstrated that the persistent currents are determined by the geometric structures of the rings; the quantum states with small eigen-energies may carry much larger currents than those quantum states with eigen-energies far away from zero.

Keywords:

作者及机构信息

代楠,
邓文基

1.
华南理工大学物理系, 广州 510641

基金项目: 国家自然科学基金(批准号: 11004063)和中央高校基本科研业务费专项基金(批准号: 2014ZG0044)资助的课题.

Authors and contacts

1.
Department of physics, South China University of Technology, Guangzhou 510641, China

Funds: Project supported by the National Natural Science Foundation of China(Grant No. 11004063), and the Fundamental Research Funds for the Central Universities, China(Grant No. 2014ZG0044).

参考文献

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[2]	Cheung H F, Gefen Y, Riedel E, Shih W H 1987 Phys. Rev. B 37 11
[3]	Cheung H F, Riedel E, Gefen Y 1989 Phys Rev. Lett 62 5
[4]	Levy L P, Dolan G, Dunsmuir J, Bouchiat H 1990 Phys. Rev. Lett. 64 2074
[5]	Chandrasekhar V, Webb R A, Brady M J, Ketchen M B, Gallagher W J, Kleinsasser A 1991 Phys. Rev. Lett. 67 3578
[6]	Bleszynski-Jayich A C, Shanks W E, Peaudecerf B, Ginossar E, Oppen F, Glazman L, Harris J G E 2009 Science 326 272
[7]	Deng W J, Liu Y Y, Gong C D 1994 Acta Phys. Sin. 43 03 (in Chinese) [邓文基, 刘有延, 龚昌德 1994 物理学报 43 03]
[8]	Louis E, Verge's J A, Chiappe G 1998 Phys. Rev. B 58 11
[9]	Lin M F, Chun D S 1998 Phys. Rev. B 57 11
[10]	Zhang Z H, Yuan J H, Qiu M, Peng J C, Xiao F L 2006 J. Appl. Phys. 99 104311
[11]	Szopa M, Marganska M, Zipper E 2002 Phys. Lett. A 299 593
[12]	Huang B L, Chang M C Mou C Y 2012 J. Phys. Condens. Matter 24 245304
[13]	Dutta P, Maiti S, Karmakar S N 2012 Euro. phys. J. B 85 4
[14]	Szopa M, Margañska M, Zipper E Lisowski M 2004 Phys. Rev. B 70 075406
[15]	Ma M M, Ding J W, Xu N 2009 Nanoscale 1 387
[16]	Ma M M, Ding J W 2010 Solid State Commun. 150 1196
[17]	Chen H B, Xu N, Ding J W 2008 Solid State Commun. 146 12
[18]	Bolivar N, Medina E, Berche B 2014 Phys. Rev. B 89 125413
[19]	Michetti P Recher P 2011 Phys. Rev. B 83 125420
[20]	Benjamin C, Jayannavar A M 2014 Appl. Phys. Lett. 104 053112
[21]	Deng W Y, Zhu R, Deng W J 2013 Acta Phys. Sin. 62 067301 (in Chinese) [邓伟胤, 朱瑞, 邓文基 2013 物理学报 62 067301]
[22]	Deng W Y, Zhu R, Deng W J 2013 Acta Phys. Sin. 62 087301 (in Chinese) [邓伟胤, 朱瑞, 邓文基 2013 物理学报 62 087301]
[23]	Bahamon D A, Pereira A L C, Schulz P A 2009 Phys. Rev. B 79 125414
[24]	Russo S, Oostinga J B, Wehenkel D, Heersche H B, Sobhani S S, Vandersypen L M K, Morpurgo A F 2008 Phys. Rev. B 77 085413
[25]	Lin M F, Shung K 1995 Phys. Rev. B 52 11
[26]	Hatsugai Y, Kohmoto M 1990 Phys. Rev. B 42 13
[27]	Guo H M, Feng S P 2012 Chin. Phys. B 21 077303
[28]	Shyu F L 2010 J. Phys.: Condens. Matter. 22 025302
[29]	Zhang Z H, Yang Z Q, Wang X, Yuan J H, Zhang H, Qiu M, Peng J C 2005 J. Phys.: Condens. Matter. 17 4111

施引文献

[1]	Bttiker M, Imry Y, Landauer R 1983 Phys. Lett. A 96 365
[2]	Cheung H F, Gefen Y, Riedel E, Shih W H 1987 Phys. Rev. B 37 11
[3]	Cheung H F, Riedel E, Gefen Y 1989 Phys Rev. Lett 62 5
[4]	Levy L P, Dolan G, Dunsmuir J, Bouchiat H 1990 Phys. Rev. Lett. 64 2074
[5]	Chandrasekhar V, Webb R A, Brady M J, Ketchen M B, Gallagher W J, Kleinsasser A 1991 Phys. Rev. Lett. 67 3578
[6]	Bleszynski-Jayich A C, Shanks W E, Peaudecerf B, Ginossar E, Oppen F, Glazman L, Harris J G E 2009 Science 326 272
[7]	Deng W J, Liu Y Y, Gong C D 1994 Acta Phys. Sin. 43 03 (in Chinese) [邓文基, 刘有延, 龚昌德 1994 物理学报 43 03]
[8]	Louis E, Verge's J A, Chiappe G 1998 Phys. Rev. B 58 11
[9]	Lin M F, Chun D S 1998 Phys. Rev. B 57 11
[10]	Zhang Z H, Yuan J H, Qiu M, Peng J C, Xiao F L 2006 J. Appl. Phys. 99 104311
[11]	Szopa M, Marganska M, Zipper E 2002 Phys. Lett. A 299 593
[12]	Huang B L, Chang M C Mou C Y 2012 J. Phys. Condens. Matter 24 245304
[13]	Dutta P, Maiti S, Karmakar S N 2012 Euro. phys. J. B 85 4
[14]	Szopa M, Margañska M, Zipper E Lisowski M 2004 Phys. Rev. B 70 075406
[15]	Ma M M, Ding J W, Xu N 2009 Nanoscale 1 387
[16]	Ma M M, Ding J W 2010 Solid State Commun. 150 1196
[17]	Chen H B, Xu N, Ding J W 2008 Solid State Commun. 146 12
[18]	Bolivar N, Medina E, Berche B 2014 Phys. Rev. B 89 125413
[19]	Michetti P Recher P 2011 Phys. Rev. B 83 125420
[20]	Benjamin C, Jayannavar A M 2014 Appl. Phys. Lett. 104 053112
[21]	Deng W Y, Zhu R, Deng W J 2013 Acta Phys. Sin. 62 067301 (in Chinese) [邓伟胤, 朱瑞, 邓文基 2013 物理学报 62 067301]
[22]	Deng W Y, Zhu R, Deng W J 2013 Acta Phys. Sin. 62 087301 (in Chinese) [邓伟胤, 朱瑞, 邓文基 2013 物理学报 62 087301]
[23]	Bahamon D A, Pereira A L C, Schulz P A 2009 Phys. Rev. B 79 125414
[24]	Russo S, Oostinga J B, Wehenkel D, Heersche H B, Sobhani S S, Vandersypen L M K, Morpurgo A F 2008 Phys. Rev. B 77 085413
[25]	Lin M F, Shung K 1995 Phys. Rev. B 52 11
[26]	Hatsugai Y, Kohmoto M 1990 Phys. Rev. B 42 13
[27]	Guo H M, Feng S P 2012 Chin. Phys. B 21 077303
[28]	Shyu F L 2010 J. Phys.: Condens. Matter. 22 025302
[29]	Zhang Z H, Yang Z Q, Wang X, Yuan J H, Zhang H, Qiu M, Peng J C 2005 J. Phys.: Condens. Matter. 17 4111

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