点电荷在拓扑绝缘体和导体中感应磁单极

曾伦武; 宋润霞

doi:10.7498/aps.61.117302

摘要

利用电势和磁标势的第一类零阶贝塞尔函数的公式及拓扑绝缘体材料的本构关系, 推导了点电荷在电介质、拓扑绝缘体和接地导体三个区域的感应电势及感应磁标势. 研究表明: 点电荷在电介质、拓扑绝缘体和接地导体中感应了像电荷和像磁单极; 感应像电荷和感应像磁单极的大小和正负除了与场源电荷、拓扑绝缘体材料参数等因素有关外, 还与像电荷和像磁单极所处的空间位置有关.

关键词:

Using the electric potential and the magnetic scalar potential formulas which contain Bessel function of zero-order of first kind and the constitute relations of topological insulator, we derive the induced electric potentials and induced magnetic scalar potentials which are induced by point electric charge in dielectric, topological insulator and earthing conductor. Further research shows that the induced magnetic monopoles and the induced electric charges are induced in dielectric, topological insulator and earthing conductor; the positive and negative induced magnetic monopoles and electric charges and their magnitudes are determined not only by the material parameter, point electric charge, but also by the space of the induced electric charge and induced magnetic monopole.

Keywords:

作者及机构信息

1.
南京农业大学工学院, 江苏省智能化农业装备重点实验室, 南京 210031

Authors and contacts

1.
Jiangsu Key Laboratory for Intelligent Agricultural Equipment, College of Engineering, Nanjing Agricultural University, Nanjing 210031, China

参考文献

[1]	Moore J E 2010 Nature 464 194
[2]	Qi X L, Zhang S C 2010 Phys. Today 63 33
[3]	Grushin A G, Cortijo A 2011 Phys. Rev. Lett. 106 020403
[4]	Qi X L, Li R, Zang J, Zhang S C 2009 Science 323 1184
[5]	Li R, Wang J, Qi X L, Zhang S C 2010 Nature Phys. 6 284
[6]	Lan Y P, Wan S L, Zhang S C 2011 Phys. Rev. B 83 205109
[7]	Qi X L, Hughes T L, Zhang S C 2008 Phys. Rev. B 78 195424
[8]	Chang M C, Yang M F 2009 Phys. Rev. B 80 113304
[9]	Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[10]	Moore J E 2009 Nature Phys. 5 378
[11]	Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 146802
[12]	Fu L, Kane C L, Mele E J 2007 Phys. Rev. Lett. 98 106803
[13]	Moore J E, Balents L 2007 Phys. Rev. B 75 121306
[14]	Maciejko J, Qi X L, Drew H D, Zhang S C 2010 Phys. Rev. Lett. 105 166803
[15]	Essin A M, Moore J E, Vanderbilt D 2009 Phys. Rev. Lett. 102 146805
[16]	Hsieh D, Qian D, Wray L, Xia Y, Hor Y S, Cava R J, Hasan M Z 2008 Nature 452 970
[17]	Jackson J D 1998 Classical Electrodynamics (New York: Wiley)

施引文献

[1]	Moore J E 2010 Nature 464 194
[2]	Qi X L, Zhang S C 2010 Phys. Today 63 33
[3]	Grushin A G, Cortijo A 2011 Phys. Rev. Lett. 106 020403
[4]	Qi X L, Li R, Zang J, Zhang S C 2009 Science 323 1184
[5]	Li R, Wang J, Qi X L, Zhang S C 2010 Nature Phys. 6 284
[6]	Lan Y P, Wan S L, Zhang S C 2011 Phys. Rev. B 83 205109
[7]	Qi X L, Hughes T L, Zhang S C 2008 Phys. Rev. B 78 195424
[8]	Chang M C, Yang M F 2009 Phys. Rev. B 80 113304
[9]	Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[10]	Moore J E 2009 Nature Phys. 5 378
[11]	Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 146802
[12]	Fu L, Kane C L, Mele E J 2007 Phys. Rev. Lett. 98 106803
[13]	Moore J E, Balents L 2007 Phys. Rev. B 75 121306
[14]	Maciejko J, Qi X L, Drew H D, Zhang S C 2010 Phys. Rev. Lett. 105 166803
[15]	Essin A M, Moore J E, Vanderbilt D 2009 Phys. Rev. Lett. 102 146805
[16]	Hsieh D, Qian D, Wray L, Xia Y, Hor Y S, Cava R J, Hasan M Z 2008 Nature 452 970
[17]	Jackson J D 1998 Classical Electrodynamics (New York: Wiley)

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