-
The kernel polynomial method is employed to study the disorder effects of impurities on the superconductivity of double-layer graphene. The Bogoliubov-de-Gennes equations are solved self-consistently by the kernel polynomial method, and the spatial fluctuations of the superconducting order parameters caused by disorder are obtained. Furthermore, we calculate the density of states, the optical conductivity and the general inverse participation ratio, and we find that the energy gap in the density of states can be constrained by increasing disorder, accompanied with the disappearance of the Drude weight in optical conductivity. We also find that the electron states are Anderson localized by disorder and the superconductor-insulator transition happens in double-layer graphene.
-
Keywords:
- double-layer graphene /
- anderson localization /
- superconductor-insulator transition /
- kernel polynomial method
[1] McChesney J L, Bostwick A, Ohta T, Seyller T, Horn K, González J, Rotenberg E 2010 Phys. Rev. Lett. 104 136803
[2] Heersche H B, Jarillo Herrero P, Oostinga J B, Vandersypen L M K, Morpurgo A 2007 Nature 446 56
[3] Castro E V, Novoselov K S, Morozov S V, Peres N M R, dos Santos J M B, Lopes N J Guinea F, Geim A K, Castro Neto A H 2007 Phys. Rev. Lett. 99 216802
[4] Zhang Y, Tang T T, Girit C, Hao Z, Martin M C, Zettl A, Crommie M F, Shen Y R, Wang F 2009 Nature 459 820
[5] Wang T, Guo Q, Liu Y, Sheng K 2012 Chin. Phys. B 21 67301
[6] Wang Z G, Zhang P, Li S S, Fu Z G 2011 Chin. Phys. B 20 058103
[7] Wang J J, Wang F, Yuan P F, Sun Q, Jia Y 2012 Acta Phys. Sin. 61 106801 (in Chinese) [王建军, 王飞, 原鹏飞, 孙强, 贾瑜 2012 61 106801]
[8] Castro Neto A H, Guinea F, Peres N M R, Novoselov K S, Geim A K 2009 Rev. Mod. Phys. 81 109
[9] Anderson P W 1958 Phys. Rev. 109 1492
[10] Weiβe A, Wellein G, Alvermann A, Fehske H 2006 Rev. Mod. Phys. 78 275
[11] Castro E V, Novoselov K S, Morozov S V, Peres N M R, Lopes dos Santos J M B, Nilsson J, Guinea F, Geim A K, Castro Neto A H 2010 J. Phys: Condens. Matter 22 175503
[12] Ghosal A, Randeria M, Trivedi N 1998 Phys. Rev. Lett. 81 3940
[13] Ghosal A, Randeria M, Trivedi N 2000 Phys. Rev. B 65 014501
[14] Covaci L, Peeters F M, Berciu M 2010 Phys. Rev. Lett. 105 167006
[15] Nagai Y, Ota Y, Machida M 2012 J. Phys. Soc. Jpn. 81 024710
[16] Weiβe A 2004 Eur. Phys. J. B 40 125
[17] Partoens B, Peeters F M 2006 Phys. Rev. B 74 075404
[18] Sacépé B, Dubouchet T, Chapelier C, Sanquer M, Ovadia M, Shahar D, Feigel'man, Loffe L 2011 Nature Phys. 7 239
[19] Dubi Y, Meir Y, Avishai Y 2007 Nature 449 876
[20] Song Y, Song H K, Feng S P 2011 J. Phys.: Condens. Matter 23 205501
[21] Song Y, Wortis R, Atkinson W A 2008 Phys. Rev. B 77 054202
[22] Murphy N C, Wortis R, Atkinson W A 2011 Phys. Rev. B 83 184206
-
[1] McChesney J L, Bostwick A, Ohta T, Seyller T, Horn K, González J, Rotenberg E 2010 Phys. Rev. Lett. 104 136803
[2] Heersche H B, Jarillo Herrero P, Oostinga J B, Vandersypen L M K, Morpurgo A 2007 Nature 446 56
[3] Castro E V, Novoselov K S, Morozov S V, Peres N M R, dos Santos J M B, Lopes N J Guinea F, Geim A K, Castro Neto A H 2007 Phys. Rev. Lett. 99 216802
[4] Zhang Y, Tang T T, Girit C, Hao Z, Martin M C, Zettl A, Crommie M F, Shen Y R, Wang F 2009 Nature 459 820
[5] Wang T, Guo Q, Liu Y, Sheng K 2012 Chin. Phys. B 21 67301
[6] Wang Z G, Zhang P, Li S S, Fu Z G 2011 Chin. Phys. B 20 058103
[7] Wang J J, Wang F, Yuan P F, Sun Q, Jia Y 2012 Acta Phys. Sin. 61 106801 (in Chinese) [王建军, 王飞, 原鹏飞, 孙强, 贾瑜 2012 61 106801]
[8] Castro Neto A H, Guinea F, Peres N M R, Novoselov K S, Geim A K 2009 Rev. Mod. Phys. 81 109
[9] Anderson P W 1958 Phys. Rev. 109 1492
[10] Weiβe A, Wellein G, Alvermann A, Fehske H 2006 Rev. Mod. Phys. 78 275
[11] Castro E V, Novoselov K S, Morozov S V, Peres N M R, Lopes dos Santos J M B, Nilsson J, Guinea F, Geim A K, Castro Neto A H 2010 J. Phys: Condens. Matter 22 175503
[12] Ghosal A, Randeria M, Trivedi N 1998 Phys. Rev. Lett. 81 3940
[13] Ghosal A, Randeria M, Trivedi N 2000 Phys. Rev. B 65 014501
[14] Covaci L, Peeters F M, Berciu M 2010 Phys. Rev. Lett. 105 167006
[15] Nagai Y, Ota Y, Machida M 2012 J. Phys. Soc. Jpn. 81 024710
[16] Weiβe A 2004 Eur. Phys. J. B 40 125
[17] Partoens B, Peeters F M 2006 Phys. Rev. B 74 075404
[18] Sacépé B, Dubouchet T, Chapelier C, Sanquer M, Ovadia M, Shahar D, Feigel'man, Loffe L 2011 Nature Phys. 7 239
[19] Dubi Y, Meir Y, Avishai Y 2007 Nature 449 876
[20] Song Y, Song H K, Feng S P 2011 J. Phys.: Condens. Matter 23 205501
[21] Song Y, Wortis R, Atkinson W A 2008 Phys. Rev. B 77 054202
[22] Murphy N C, Wortis R, Atkinson W A 2011 Phys. Rev. B 83 184206
Catalog
Metrics
- Abstract views: 7324
- PDF Downloads: 1129
- Cited By: 0
下载:
