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We have investigated the electronic transport properties of graphene pn junction with spin-orbit coupling. If the incident energy lies between the potentials of the two ends of the pn junction, a particle can penetrate the graphene pn junction by tunneling accompanied by the electron-hole transition. The curve of conductance versus Fermi energy shows steps and reaches its maximum when the Fermi energy lies at the middle of the potentials of the p and n areas. As the length of graphene pn junction increases, the conductance decays exponentially. The spin-orbit coupling leads to a bulk energy gap and edge states; the gap reduces the conductance dramatically and the edge states result in an almost perfect conductance plateau. When the pn region is influenced by randomly doped impurities, the conductance curves are no longer symmetrical in the case of weak doping, while in the strong doping case, the step structures are destroyed but the conductance plateau contributed by the edge states survives well.
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Keywords:
- graphene /
- pn junction /
- spin-orbit coupling
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[2] Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsnelson M I, Grigorieva I V, Dubonos S V, Firsov A A 2005 Nature 438 197
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[7] He W Y, He L 2013 Phys. Rev. B 88 085411
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[11] Liu Y, Yao J, Chen C, Miao L, Jiang J J 2013 Acta Phys. Sin. 62 63601 (in Chinese) [刘源, 姚洁, 陈驰, 缪灵, 江建军 2013 62 63601]
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[14] Liu C C, Feng W X, Yao Y G 2011 Phys. Rev. Lett. 107 076802
[15] Cai Y, Chuu C P, Wei C M, Chou M Y 2013 Phys. Rev. B 88 245408
[16] Kim Y, Choi K, Ihm J, Jin H 2014 Phys. Rev. B 89 085429
[17] Yokoyama T 2014 New J. Phys. 16 085005
[18] Rachel S, Ezawa M 2014 Phys. Rev. B 89 195303
[19] Wang S K, Wang J, Chan K S 2014 New J. Phys. 16 045015
[20] Liu C C, Jiang H, Yao Y G 2011 Phys. Rev. B 84 195430
[21] Chiu H Y, Perefleinos V, Lin Y M, Avouris P 2010 Nano Lett. 10 4634
[22] Woszczyna M, Friedemann M, Dziomba T, Weimann T, Ahlers F J 2011 Appl. Phys. Lett. 99 022112
[23] Silvestrov P G, Efetov K B 2007 Phys. Rev. Lett. 98 016802
[24] Nakaharai S, Williams J R, Marcus C M 2011 Phys. Rev. Lett. 107 036602
[25] Cheianov V V, Fal’ko V, Altshuler B L 2007 Science 315 1252
[26] Gómez S, Burset P, Herrera W J, Yeyati L A 2012 Phys. Rev. B 85 115411
[27] Williams J R, Marcus C M 2011 Phys. Rev. Lett. 107 046602
[28] Williams J R, DiCarlo L, Marcus C M 2007 Science 317 638
[29] Cheianov V V, Falko V I 2006 Phys. Rev. B 74 041403
[30] Yang M, Ran X J, Cui Y, Wang R Q 2012 J. Appl. Phys. 111 083708
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[1] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V, Firsov A A 2004 Science 306 666
[2] Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsnelson M I, Grigorieva I V, Dubonos S V, Firsov A A 2005 Nature 438 197
[3] Neto C A H, Guinea F, Peres N M R, Novoselov K S, Geim A K 2009 Rev. Mod. Phys. 81 109
[4] Katsnelson M I, Novoselov K S, Geim A K 2006 Nat. Phys. 2 620
[5] Stander N, Huard B, Gordon C D 2009 Phys. Rev. Lett. 102 026807
[6] Kane C L, Mele E J 2005 Phys. Rev. Lett. 95 226801
[7] He W Y, He L 2013 Phys. Rev. B 88 085411
[8] Jiang H, Qiao Z H, Liu H W, Shi J R, Niu Q 2012 Phys. Rev. Lett. 109 116803
[9] Balakrishnan J, Koon G K W, Jaiswal M, Neto C A H, Ozyilmaz B 2013 Nat. Phys. 9 284
[10] Hu J, Alicea J, Wu R Q, Franz M 2012 Phys. Rev. Lett. 109 266801
[11] Liu Y, Yao J, Chen C, Miao L, Jiang J J 2013 Acta Phys. Sin. 62 63601 (in Chinese) [刘源, 姚洁, 陈驰, 缪灵, 江建军 2013 62 63601]
[12] Huang X Q, Lin C F, Yin X L, Zhao R G, Wang E G, Hu Z H 2014 Acta Phys. Sin. 63 197301 (in Chinese) [黄向前, 林陈昉, 尹秀丽, 赵汝光, 王恩哥, 胡宗海 2014 63 197301]
[13] Chen L, Liu C C, Feng B J, He X Y, Cheng P, Ding Z J, Meng S, Yao Y G, Wu K H 2012 Phys. Rev. Lett. 109 056804
[14] Liu C C, Feng W X, Yao Y G 2011 Phys. Rev. Lett. 107 076802
[15] Cai Y, Chuu C P, Wei C M, Chou M Y 2013 Phys. Rev. B 88 245408
[16] Kim Y, Choi K, Ihm J, Jin H 2014 Phys. Rev. B 89 085429
[17] Yokoyama T 2014 New J. Phys. 16 085005
[18] Rachel S, Ezawa M 2014 Phys. Rev. B 89 195303
[19] Wang S K, Wang J, Chan K S 2014 New J. Phys. 16 045015
[20] Liu C C, Jiang H, Yao Y G 2011 Phys. Rev. B 84 195430
[21] Chiu H Y, Perefleinos V, Lin Y M, Avouris P 2010 Nano Lett. 10 4634
[22] Woszczyna M, Friedemann M, Dziomba T, Weimann T, Ahlers F J 2011 Appl. Phys. Lett. 99 022112
[23] Silvestrov P G, Efetov K B 2007 Phys. Rev. Lett. 98 016802
[24] Nakaharai S, Williams J R, Marcus C M 2011 Phys. Rev. Lett. 107 036602
[25] Cheianov V V, Fal’ko V, Altshuler B L 2007 Science 315 1252
[26] Gómez S, Burset P, Herrera W J, Yeyati L A 2012 Phys. Rev. B 85 115411
[27] Williams J R, Marcus C M 2011 Phys. Rev. Lett. 107 046602
[28] Williams J R, DiCarlo L, Marcus C M 2007 Science 317 638
[29] Cheianov V V, Falko V I 2006 Phys. Rev. B 74 041403
[30] Yang M, Ran X J, Cui Y, Wang R Q 2012 J. Appl. Phys. 111 083708
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