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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.
[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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[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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