Plasmonic excitations in Coulomb-coupled N-layer graphene structures

Physical Review B - Condensed Matter and Materials Physics

Volumn 87, Issue 8, 2013, Pages

  Zhu, J J ^a   Badalyan, S M ^a   Peeters, F M ^a  

^a UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84874534435     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.085401     Document Type: Article

References (64)

1. K. S. Novoselov, A. K. Geim, S. V. Morosov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Griorieva, and A. A. Firsov, Science SCIEAS 0036-8075 10.1126/science.1102896 306, 666 (2004). (Pubitemid 39440910)
2. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva, and A. A. Firsov, Nature (London) NATUAS 0028-0836 10.1038/nature04233 438, 197 (2005). (Pubitemid 41599867)
3. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.109 81, 109 (2009).
4. S. K. Novoselov, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83. 837 83, 837 (2011).
5. M. I. Katsnelson, K. S. Novoselov, and A. K. Geim, Nat. Phys. 1745-2473 10.1038/nphys384 2, 620 (2006). (Pubitemid 44328348)
6. J. F. Tian, L. A. Jauregui, G. Lopez, H. Cao, and Y. P. Chen, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3459136 96, 263110 (2010).
7. Y.-W. Tan, Y. Zhang, K. Bolotin, Y. Zhao, S. Adam, E. H. Hwang, S. Das Sarma, H. L. Stormer, and P. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.246803 99, 246803 (2007). (Pubitemid 350276599)
8. K. I. Bolotin, K. J. Sikes, J. Hone, H. L. Stormer, and P. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.096802 101, 096802 (2008).
9. X. Du, I. Skachko, A. Barker, and E. Y. Andrei, Nature Nanotechnology 1748-3387 10.1038/nnano.2008.199 3, 491 (2008).
10. Y. Zhang, Y. W. Tan, H. L. Stormer, and P. Kim, Nature (London) NATUAS 0028-0836 10.1038/nature04235 438, 201 (2005). (Pubitemid 41599868)
11. S. Das Sarma, S. Adam, E. H. Hwang, and E. Rossi, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.407 83, 407 (2011).
12. D. R. Cooper, B. D'Anjou, N. Ghattamaneni, B. Harack, M. Hilke, A. Horth, N. Majlis, M. Massicotte, L. Vandsburger, E. Whiteway, and V. Yu, ISRN Condensed Matter Physics 2090-7397 10.5402/2012/501686 2012, 501686 (2012).
13. A. K. Geim and A. H. Macdonald, Phys. Today PHTOAD 0031-9228 10.1063/1.2774096 60, 35 (2007).
14. A. K. Geim and K. S. Novoselov, Nat. Mater. 1476-1122 10.1038/nmat1849 6, 183 (2007). (Pubitemid 46353764)
15. V. N. Kotov, B. Uchoa, V. M. Pereira, F. Guinea, and A. H. Castro Neto, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.84.1067 84, 1067 (2011).
16. C. H. Park, F. Giustino, M. L. Cohen, and S. G. Louie, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.086804 99, 086804 (2007). (Pubitemid 47330790)
17. M. Calandra and F. Mauri, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.205411 76, 205411 (2007).
18. W. K. Tse and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.236802 99, 236802 (2007). (Pubitemid 350230773)
19. S. M. Badalyan and F. M. Peeters, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.205453 85, 205453 (2012).
20. T. Ando, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.76.024712 76, 024712 (2007).
21. M. O. Goerbig, J.-N. Fuchs, K. Kechedzhi, and V. I. Fal'ko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.087402 99, 087402 (2007). (Pubitemid 47330789)
22. C. Faugeras, M. Amado, P. Kossacki, M. Orlita, M. Kuhne, A. A. L. Nicolet, Yu. I. Latyshev, and M. Potemski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.036807 107, 036807 (2011).
23. J.-J. Zhu, S. M. Badalyan, and F. M. Peeters, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.109.256602 109, 256602 (2012).
24. A. Principi, M. Polini, and G. Vignale, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.075418 80, 075418 (2009).
25. B. Wunsch, T. Stauber, F. Sols, and F. Guinea, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/12/318 8, 318 (2006). (Pubitemid 44927392)
26. E. H. Hwang and S. Das Sarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.205418 75, 205418 (2007).
27. Y. Barlas, T. Pereg-Barnea, M. Polini, R. Asgari, and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.236601 98, 236601 (2007). (Pubitemid 47139806)
28. S. Das Sarma and E. H. Hwang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.206412 102, 206412 (2009).
29. S. H. Abedinpour, G. Vignale, A. Principi, M. Polini, W.-K. Tse, and A. H. MacDonald, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.045429 84, 045429 (2011).
30. M. Polini, R. Asgari, G. Borghi, Y. Barlas, T. Pereg-Barnea, and A. H. MacDonald, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.081411 77, 081411 (R) (2008).
31. A. Bostwick, F. Speck, T. Seyller, K. Horn, M. Polini, R. Asgari, A. H. MacDonald, and E. Rotenberg, Science SCIEAS 0036-8075 10.1126/science.1186489 328, 999 (2010).
32. M. Jablan, M. Soljacic, and H. Buljan, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.161409 83, 161409 (R) (2011).
33. H. Schmidt, T. Ludtke, P. Barthold, E. McCann, V. I. Falko, and R. J. Haug, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3012369 93, 172108 (2008).
34. S. Kim, I. Jo, J. Nah, Z. Yao, S. K. Banerjee, and E. Tutuc, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.161401 83, 161401 (R) (2011).
35. L. A. Ponomarenko, A. A. Zhukov, R. Jalil, S. V. Morozov, K. S. Novoselov, V. V. Cheianov, V. I. Falko, K. Watanabe, T. Taniguchi, A. K. Geim, and R. V. Gorbachev, Nature Physics 1745-2473 10.1038/nphys2114 7, 958 (2011).
36. S. Kim, I. Jo, D. C. Dillen, D. A. Ferrer, B. Fallahazad, Z. Yao, S. K. Banerjee, and E. Tutuc, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 108.116404 108, 116404 (2012).
37. L. Britnell, R. V. Gorbachev, R. Jalil, B. D. Belle, F. Schedin, A. Mishchenko, T. Georgiou, M. I. Katsnelson, L. Eaves, S. V. Morozov, N. M. R. Peres, J. Leist, A. K. Geim, K. S. Novoselov, and L. A. Ponomarenko, Science SCIEAS 0036-8075 10.1126/science.1218461 335, 947 (2012).
38. R. V. Gorbachev, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. Tudorovskiy, I. V. Grigorieva, A. H. MacDonald, S. V. Morozov, K. Watanabe, T. Taniguchi, and L. A. Ponomarenko, Nature Physics 1745-2473 10.1038/nphys2441 8, 896 (2012).
39. E. H. Hwang and S. Das Sarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.205405 80, 205405 (2009).
40. T. Stauber and G. Gomez-Santos, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.075410 85, 075410 (2012).
41. R. E. V. Profumo, R. Asgari, M. Polini, and A. H. MacDonald, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.085443 85, 085443 (2012).
42. S. M. Badalyan and F. M. Peeters, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.195444 85, 195444 (2012).
43. For a review see A. G. Rojo, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/5/004 11, R31 (1999).
44. W.-K. Tse, Ben Y.-K. Hu, and S. Das Sarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.081401 76, 081401 (R) (2007).
45. B. N. Narozhny, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.153409 76, 153409 (2007).
46. N. M. R. Peres, J. M. B. Lopes dos Santos, and A. H. Castro Neto, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/95/18001 95, 18001 (2011).
47. M. I. Katsnelson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84. 041407 84, 041407 (R) (2011).
48. E. H. Hwang, R. Sensarma, and S. Das Sarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.245441 84, 245441 (2011).
49. B. N. Narozhny, M. Titov, I. V. Gornyi, and P. M. Ostrovsky, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.195421 85, 195421 (2012).
50. M. Carrega, T. Tudorovskiy, A. Principi, M. I. Katsnelson, and M. Polini, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/14/6/063033 14, 063033 (2012).
51. S. M. Badalyan and F. M. Peeters, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.121405 86, 121405 (R) (2012).
52. B. Scharf and A. Matos-Abiague, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.115425 86, 115425 (2012).
53. G. F. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid (Cambridge University Press, Cambridge, 2005).
54. A. N. Grigorenko, M. Polini, and K. S. Novoselov, Nature Photonics 1749-4885 10.1038/nphoton.2012.262 6, 749 (2012).
55. Z. Fei, A. S. Rodin, G. O. Andreev, W. Bao, A. S. McLeod, M. Wagner, L. M. Zhang, Z. Zhao, M. Thiemens, G. Dominguez, M. M. Fogler, A. H. Castro Neto, C. N. Lau, F. Keilmann, and D. N. Basov, Nature 0028-0836 10.1038/nature11253 487, 82 (2012).
56. Z. Fei, G. O. Andreev, W. Bao, L. M. Zhang, A. S. McLeod, C. Wang, M. K. Stewart, Z. Zhao, G. Dominguez, M. Thiemens, M. M. Fogler, M. J. Tauber, A. H. Castro-Neto, C. N. Lau, F. Keilmann, and D. N. Basov, Nano Lett. NALEFD 1530-6984 10.1021/nl202362d 11, 4701 (2011).
57. L. Ju, B. Geng, J. Horng, C. Girit, M. Martin, Z. Hao, H. A. Bechtel, X. Liang, A. Zettl, Y. R. Shen, and F. Wang, Nature Nanotech. 1748-3387 10.1038/nnano.2011.146 6, 630 (2011).
58. H. Yan, X. Li, B. Chandra, G. Tulevski, Y. Wu, M. Freitag, W. Zhu, P. Avouris, and F. Xia, Nature Nanotech. 1748-3387 10.1038/nnano.2012.59 7, 330 (2012).
59. S. M. Badalyan, C. S. Kim, G. Vignale, and G. Senatore, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.125321 75, 125321 (2007).
60. S. Das Sarma and J. J. Quinn, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.25.7603 25, 7603 (1982).
61. G. E. Santoro and G. F. Giuliani, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.937 37, 937 (1988).
62. M. R. Ramezanali, M. M. Vazifeh, R. Asgari, M. Polini, and A. H. MacDonald, J. Phys. A: Math. Theor. 1751-8113 10.1088/1751-8113/42/21/214015 42, 214015 (2009).
63. The full polarization function with its finite imaginary part, which appears in the dispersion equation, has been used to calculate the plasmon spectrum in graphene double-layer structures. However, setting the imaginary part to zero provides a correct behavior in the short-wavelength limit with the convergence of the multilayer plasmon branches toward the single-layer plasmon mode.
64. T. Stauber and G. Gomez-Santos, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/14/10/105018 14, 105018 (2012).