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Starting with the mean field Dirac-Bogoliubov-de-Gennes model and the Bolonder-Tinkham-Klapwijk formalism, we study the transport properties of a graphene ferromagnet-insulator-superconductor junction by taking into account the effect of the finite width of the insulating region. The tunneling conductance oscillations as a function of the bias energy are revealed together with a non-monotonic behavior for the exchange field in the ferromagnet layer. These phenomena, which are quite different from those in the conventional counterparts, are understood by examining the electron scattering processes associated with the unique dispersion-relation of the graphene junctions.
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Keywords:
- graphene junction /
- tunneling conductance /
- exchange energy /
- osicllation spectum
[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] Morozov S V, Novoselov K S, Katsnelson M I, Schedin F, Ponomarenko L A, Jiang D, Geim A K 2006 Phys. Rev. Lett. 97 016801
[3] [4] Titov M, Beenakker C 2006 Phys. Rev. B 74 041401
[5] [6] Low T 2009 Phys. Rev. B 80 205423
[7] [8] Tian H Y, Wang J 2012 Chin. Phys. B 21 017203
[9] [10] [11] Ando T 2005 J. Phys. Soc. Jpn. 74 777
[12] [13] Zhou S Y, Gweon G H, Graf J, Fedorov A V, Spataru C D, Diehl R D, Kopelevich Y, Lee D H, Louie S G, Lanzara A 2006 Nat. Phys. 2 595
[14] [15] Castro Neto A H, Guinea F, Peres N M R, Novoselov K S, Geim A K 2009 Rev. Mod. Phys. 81 109
[16] Zhang Y, Tan Y W, Stormer H L, Kim P 2005 Nature 438 201
[17] [18] [19] Beenakker C 2006 Phys. Rev. Lett. 97 067007
[20] Katsnelson M I, Novoselov K S, Geim A K 2006 Nat. Phys. 2 620
[21] [22] Heersche H B, Jarillo-Herrero P, Oostinga J B, Vandersypen L M K, Morpurgo A F 2007 Nature 446 56
[23] [24] [25] Linder J, Black-Schaffer A M, Sudb?A 2010 Phys. Rev. B 82 041409
[26] Uchoa B, Castro Neto A H 2007 Phys. Rev. Lett. 98 146801
[27] [28] Bhattacharjee S, Sengupta K 2006 Phys. Rev. Lett. 97 217001
[29] [30] [31] Linder J, SudbA 2007 Phys. Rev. Lett. 99 147001
[32] [33] Linder J, SudbA 2008 Phys. Rev. B 77 064507
[34] Haugen H, Huertas-Hernando D, Brataas A 2008 Phys. Rev. B 77 115406
[35] [36] Asano Y, Yoshida T, Tanaka Y, Golubov A 2008 Phys. Rev. B 78 014514
[37] [38] Zareyan M, Mohammadpour H, Moghaddam A G 2008 Phys. Rev. B 78 193406
[39] [40] [41] Sun Q F, Jiang Z T, Yu Y, Xie X C 2011 Phys. Rev. B 84 214501
[42] Hsu Y F, Guo G Y 2010 Phys. Rev. B 81 045412
[43] [44] Bergeret F S, Volkov A F, Efetov K B 2005 Rev. Mod. Phys. 77 1321
[45] [46] Wu S, Samokhin K V 2010 Phys. Rev. B 82 184501
[47] [48] [49] Ji Y Q, Niu Z P, Feng C D, Xing D Y 2008 Chin. Phys. Lett. 25 691
[50] Jing L J, Wang Y, Wen L, Zha G Q, Zhou S P 2012 Phys. Lett. A 376 2435
[51] [52] [53] Li X W 2011 Chin. Phys. Lett. 28 047401
[54] [55] Blonder G E, Tinkham M, Klapwijk T M 1982 Phys. Rev. B 25 4515
[56] [57] De Gennes P G 1966 Superconductivity of metals and alloys (New York: Benjamin Inc.) pp 137-157
[58] Roy B, Herbut I F 2010 Phys. Rev. B 82 035429
[59] -
[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] Morozov S V, Novoselov K S, Katsnelson M I, Schedin F, Ponomarenko L A, Jiang D, Geim A K 2006 Phys. Rev. Lett. 97 016801
[3] [4] Titov M, Beenakker C 2006 Phys. Rev. B 74 041401
[5] [6] Low T 2009 Phys. Rev. B 80 205423
[7] [8] Tian H Y, Wang J 2012 Chin. Phys. B 21 017203
[9] [10] [11] Ando T 2005 J. Phys. Soc. Jpn. 74 777
[12] [13] Zhou S Y, Gweon G H, Graf J, Fedorov A V, Spataru C D, Diehl R D, Kopelevich Y, Lee D H, Louie S G, Lanzara A 2006 Nat. Phys. 2 595
[14] [15] Castro Neto A H, Guinea F, Peres N M R, Novoselov K S, Geim A K 2009 Rev. Mod. Phys. 81 109
[16] Zhang Y, Tan Y W, Stormer H L, Kim P 2005 Nature 438 201
[17] [18] [19] Beenakker C 2006 Phys. Rev. Lett. 97 067007
[20] Katsnelson M I, Novoselov K S, Geim A K 2006 Nat. Phys. 2 620
[21] [22] Heersche H B, Jarillo-Herrero P, Oostinga J B, Vandersypen L M K, Morpurgo A F 2007 Nature 446 56
[23] [24] [25] Linder J, Black-Schaffer A M, Sudb?A 2010 Phys. Rev. B 82 041409
[26] Uchoa B, Castro Neto A H 2007 Phys. Rev. Lett. 98 146801
[27] [28] Bhattacharjee S, Sengupta K 2006 Phys. Rev. Lett. 97 217001
[29] [30] [31] Linder J, SudbA 2007 Phys. Rev. Lett. 99 147001
[32] [33] Linder J, SudbA 2008 Phys. Rev. B 77 064507
[34] Haugen H, Huertas-Hernando D, Brataas A 2008 Phys. Rev. B 77 115406
[35] [36] Asano Y, Yoshida T, Tanaka Y, Golubov A 2008 Phys. Rev. B 78 014514
[37] [38] Zareyan M, Mohammadpour H, Moghaddam A G 2008 Phys. Rev. B 78 193406
[39] [40] [41] Sun Q F, Jiang Z T, Yu Y, Xie X C 2011 Phys. Rev. B 84 214501
[42] Hsu Y F, Guo G Y 2010 Phys. Rev. B 81 045412
[43] [44] Bergeret F S, Volkov A F, Efetov K B 2005 Rev. Mod. Phys. 77 1321
[45] [46] Wu S, Samokhin K V 2010 Phys. Rev. B 82 184501
[47] [48] [49] Ji Y Q, Niu Z P, Feng C D, Xing D Y 2008 Chin. Phys. Lett. 25 691
[50] Jing L J, Wang Y, Wen L, Zha G Q, Zhou S P 2012 Phys. Lett. A 376 2435
[51] [52] [53] Li X W 2011 Chin. Phys. Lett. 28 047401
[54] [55] Blonder G E, Tinkham M, Klapwijk T M 1982 Phys. Rev. B 25 4515
[56] [57] De Gennes P G 1966 Superconductivity of metals and alloys (New York: Benjamin Inc.) pp 137-157
[58] Roy B, Herbut I F 2010 Phys. Rev. B 82 035429
[59]
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