Quantum Hall effect in exfoliated graphene affected by charged impurities: Metrological measurements

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 16, 2012, Pages

  Guignard, J ^a   Leprat, D ^a   Glattli, D C ^b   Schopfer, F ^a   Poirier, W ^a  

^a LABORATOIRE NATIONAL DE MÉTROLOGIE ET D ESSAIS LNE   (France)

^b SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84859984692     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.165420     Document Type: Article

References (75)

1. K. v. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.45.494 45, 494 (1980).
2. B. Jeckelmann and B. Jeanneret, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/64/12/201 64, 1603 (2001).
3. W. Poirier, F. Schopfer, J. Guignard, O. Thevenot, and P. Gournay, CRAS 5, 171 (2011).
4. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, S. V. D. I. V. Grigorieva, and A. A. Firsov, Nature (London) NATUAS 0028-0836 10.1038/nature04233 438, 197 (2005). (Pubitemid 41599867)
5. Y. B. Zhang, Y. W. Tan, H. Stormer, and P. Kim, Nature (London) NATUAS 0028-0836 10.1038/nature04235 438, 201 (2005). (Pubitemid 41599868)
6. K. S. Novoselov, Z. Jiang, Y. Zhang, S. V. Morozov, H. L. Stormer, U. Zeitler, G. S. B. J. C. Maan, P. Kim, and A. K. Geim, Science SCIEAS 0036-8075 10.1126/science.1137201 315, 1379 (2007). (Pubitemid 46399539)
7. W. Poirier and F. Schopfer, Eur. Phys. J. Spec. Top. 1951-6355 10.1140/epjst/e2009-01051-5 172, 207 (2009).
8. A. H. C. 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).
9. V. P. Gusynin and S. G. Sharapov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.146801 95, 146801 (2005). (Pubitemid 41777601)
10. M. Koshino and T. Ando, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.245403 73, 245403 (2006). (Pubitemid 43847351)
11. E. McCann and V. I. Fal'ko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.086805 96, 086805 (2006). (Pubitemid 43334272)
12. W. Poirier and F. Schopfer, Nat. Nanotechnol. 1748-3387 10.1038/nnano.2010.40 5, 171 (2010).
13. A. J. M. Giesbers, G. Rietveld, E. Houtzager, U. Zeitler, R. Yang, K. S. Novoselov, A. K. Geim, and J. C. Maan, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3043426 93, 222109 (2009).
14. A. Tzalenchuk, S. Lara-Avila, A. Kalaboukhov, S. Paolillo, M.S. Syvajarvi, R. Yakimova, O. Kazakova, T. J. B. M. Janssen, V. Fal'ko, and S. Kubatkin, Nat. Nanotechnol. 1748-3387 10.1038/nnano.2009.474 5, 186 (2010).
15. T. J. B. M. Janssen, N. E. Fletcher, R. Goebel, J. M. Williams, A. Tzalenchuk, R. Yakimova, S. Kubatkin, S. Lara-Avila, and V. I. Falko, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/9/093026 13, 093026 (2011).
16. E. H. Hwang, S. Adam, and S. DasSarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.186806 98, 186806 (2007). (Pubitemid 46701738)
17. S. Adam and S. DasSarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.115436 77, 115436 (2008).
18. S. Adam, E. H. Hwang, V. M. Galitski, and S. D. Sarma, Semiconductors 66, 1238 (2007).
19. E. H. Hwang and S. DasSarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.195412 77, 195412 (2008).
20. J. Martin, N. Akerman, G. Ulbricht, T. Lohmann, K. von Klitzing, J. H. Smet, and A. Yacoby, Nat. Phys. 1745-2473 10.1038/nphys1344 5, 669 (2009).
21. D. V. McCaughan and V. T. Murphy, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1662507 44, 2008 (1973).
22. B. I. Shklovskii, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76. 233411 76, 233411 (2007).
23. Y.-W. Tan, Y. Zhang, K. Bolotin, Y. Zhao, S. Adam, E. H. Hwang, S. DasSarma, H. L. Stormer, and P. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.246803 99, 246803 (2007). (Pubitemid 350276599)
24. L. A. Ponomarenko, R. Yang, T. M. Mohiuddin, M. I. Katsnelson, K. S. Novoselov, S. V. Morozov, A. A. Zhukov, F. Schedin, E. W. Hill, and A. K. Geim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.206603 102, 206603 (2009).
25. D. S. Novikov, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2779107 91, 102102 (2007). (Pubitemid 47379024)
26. B. Huard, N. Stander, J. A. Sulpizio, and D. Goldhaber-Gordon, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.121402 78, 121402(R) (2008).
27. S. Adam and S. DasSarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.115436 77, 115436 (2008).
28. - 1 × 1 nm) = 0.157.
29. E. Rossi and S. DasSarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.166803 101, 166803 (2008).
30. S. DasSarma, E. H. Hwang, and E. Rossi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.161407 81, 161407(R) (2010).
31. K. Kechedzhi, V. I. Fal'ko, E. McCann, and B. L. Altshuler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.176806 98, 176806 (2007). (Pubitemid 46676954)
32. E. McCann, K. Kechedzhi, V. I. Fal'ko, H. Suzuura, T. Ando, and B. L. Altshuler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.146805 97, 146805 (2006). (Pubitemid 44522385)
33. R. V. Gorbachev, F. V. Tikhonenko, A. S. Mayorov, D. W. Horsell, and A. K. Savchenko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.176805 98, 176805 (2007). (Pubitemid 46676955)
34. B. L. Altshuler and A. G. Aronov, Electron-Electron Interactions in Disordered Conductors (Elsevier, Amsterdam, 1985).
35. V. V. Cheianov, V. I. Fal'ko, B. L. Altshuler, and I. L. Aleiner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.176801 99, 176801 (2007). (Pubitemid 47631511)
36. M. Y. Kharitonov and K. B. Efetov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.033404 78, 033404 (2008).
37. K. Kechedzhi, O. Kashuba, and V. I. Fal'ko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.193403 77, 193403 (2008).
38. P. A. Lee, A. D. Stone, and H. Fukuyama, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.35.1039 35, 1039 (1987).
39. F. Delahaye and B. Jeckelmann, Metrologia MTRGAU 0026-1394 10.1088/0026-1394/40/5/302 40, 217 (2003).
40. M. Buttiker, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.38.9375 38, 9375 (1988).
41. F. Piquemal, G. Genevès, F. Delahaye, J. P. André, J. N. Patillon, and P. Frijlink, IEEE Trans. Instrum. Meas. IEIMAO 0018-9456 10.1109/19.278562 42, 264 (1993).
42. B. Jeckelmann, B. Jeanneret, and D. Inglis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.13124 55, 13124 (1997).
43. M. E. Cage, B. F. Field, R. F. Dziuba, S. M. Girvin, A. C. Gossard, and D. C. Tsui, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.30.2286 30, 2286 (1984).
44. W. van der Wel, Ph.D. thesis, University of Delft, 1988.
45. W. van der Wel, C. J. P. M. Harmans, and J. E. Mooij, J. Phys. C: Solid State Phys. JPSOAW 0022-3719 10.1088/0022-3719/21/7/003 21, L171 (1988).
46. Domingez, Ph.D. thesis, CNAM, Paris, 1987.
47. B. I. Shklovskii and A. L. Efros, Electronic Properties of Doped Semiconductors (Springer, Berlin, 1984).
48. D. G. Polyakov and B. I. Shklovskii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.3796 70, 3796 (1993).
49. M. Furlan, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.57.14818 57, 14818 (1998).
50. D. G. Polyakov and B. I. Shklovskii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.1150 73, 1150 (1994).
51. D. G. Polyakov and B. I. Shklovskii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.150 74, 150 (1995).
52. A. J. M. Giesbers, U. Zeitler, L. A. Ponomarenko, R. Yang, K. S. Novoselov, A. K. Geim, and J. C. Maan, Phys. Rev. B 1098-0121 10.1103/PhysRevB.80.241411 80, 241411 (R) (2009).
53. K. Bennaceur, P. Jacques, F. Portier, P. Roche, and D. Glattli, e-print arXiv: 1009.1795.
54. T. J. B. M. Janssen, A. Tzalenchuk, R. Yakimova, S. Kubatkin, S. Lara-Avila, S. Kopylov, and V. I. Fal'ko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.233402 83, 233402 (2011).
55. A. J. M. Giesbers, U. Zeitler, M. I. Katsnelson, L. A. Ponomarenko, T. M. Mohiuddin, and J. C. Maan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.206803 99, 206803 (2007). (Pubitemid 350115568)
56. A. J. M. Giesbers, L. A. Ponomarenko, K. S. Novoselov, A. K. Geim, M. I. Katsnelson, J. C. Maan, and U. Zeitler, Phys. Rev. B 1098-0121 10.1103/PhysRevB.80.201403 80, 201403 (R) (2009).
57. V. Singh and M. M. Deshmukh, Phys. Rev. B 1098-0121 10.1103/PhysRevB.80. 081404 80, 081404 (R) (2009).
58. M. E. Cage, R. F. Dziuba, B. F. Field, E. R. Williams, S. M. Girvin, A. C. Gossard, D. C. Tsui, and R. J. Wagner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.1374 51, 1374 (1983).
59. O. Heinonen, P. L. Taylor, and S. M. Girvin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.30.3016 30, 3016 (1984).
60. L. Eaves and F. W. Sheard, Semicond. Sci. Technol. SSTEET 0268-1242 10.1088/0268-1242/1/6/002 1, 346 (1986).
61. C. Chaubet, A. Raymond, and D. Dur, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.11178 52, 11178 (1995).
62. C. Chaubet and F. Geniet, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.58.13015 58, 13015 (1998).
63. S. A. Trugman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.27.7539 27, 7539 (1983).
64. G. Ebert, K. von Klitzing, K. Ploog, and G. Weimann, J. Phys. C: Solid State Phys. JPSOAW 0022-3719 10.1088/0022-3719/16/28/012 16, 5441 (1983).
65. S. Komiyama, T. Takamasu, S. Hiyamizu, and S. Sasa, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(85)90651-9 54, 479 (1985). (Pubitemid 15524690)
66. S. Komiyama, Y. Kawaguchi, T. Osada, and Y. Shiraki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.558 77, 558 (1996).
67. V. Tsemekhman, K. Tsemekhman, C. Wexler, J. H. Han, and D. J. Thouless, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.R10201 55, R10201 (1997).
68. B. Jeckelmann, A. Rufenacht, B. Jeanneret, F. Overney, A. von Campenhausen, and G. Hein, IEEE Trans. Instrum. Meas. IEIMAO 0018-9456 10.1109/19.918106 50, 218 (2001). (Pubitemid 32454176)
69. Y. M. Meziani, C. Chaubet, S. Bonifacie, A. Raymond, W. Poirier, and F. Piquemal, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1748853 96, 404 (2004).
70. D. Yoshioka, The Quantum Hall Effect (Springer, Berlin, 1998).
71. S. Jung, G. M. Rutter, N. N. Klimov, D. B. Newell, I. Calizo, A.R. Hight-Walker, N. B. Zhitenev, and J. A. Stroscio, Nat. Phys. 1745-2473 10.1038/nphys1866 7, 245 (2011).
72. S. Ilani, J. Martin, E. Teltelbaum, J. H. Smet, D. Mahalu, V. Umansky, and A. Yacoby, Nature (London) NATUAS 0028-0836 10.1038/nature02230 427, 328 (2004). (Pubitemid 38133655)
73. M. Monteverde, C. Ojeda-Aristizabal, R. Weil, K. Bennaceur, M. Ferrier, S. Guéron, C. Glattli, H. Bouchiat, J. N. Fuchs, and D. L. Maslov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.126801 104, 126801 (2010).
74. D. H. Cobden, C. H. W. Barnes, and C. J. B. Ford, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4695 82, 4695 (1999).
75. S. Branchaud, A. Kam, P. Zawadzki, F. M. Peeters, and A. S. Sachrajda, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.121406 81, 121406(R) (2010).