Gauge fields and interferometry in folded graphene

Physical Review B - Condensed Matter and Materials Physics

Volumn 83, Issue 16, 2011, Pages

  Rainis, Diego ^a,e   Taddei, Fabio ^a   Polini, Marco ^a,b   León, Gladys ^a,b   Guinea, Francisco ^b,c   Fal'Ko, Vladimir I ^b,d  

^a ISTITUTO NANOSCIENZE CNR   (Italy)

^b INSTITUTE OF THEORETICAL PHYSICS   (China)

^c INSTITUTO DE CIENCIA DE MATERIALES DE MADRID   (Spain)

^d LANCASTER UNIVERSITY   (United Kingdom)

^e UNIVERSITY OF BASEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961057373     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.165403     Document Type: Article

References (41)

1. F. Wilczek, The Lightness of Being (Basic-Perseus, New York, 2008).
2. A. 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).
3. M. A. H. Vozmediano, M. I. Katsnelson, and F. Guinea, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2010.07.003 496, 109 (2010).
4. F. Guinea, M. I. Katsnelson, and A. K. Geim, Nature Phys. PRPLCM 1745-2473 10.1038/nphys1420 6, 30 (2010).
5. N. Levy, S. A. Burke, K. L. Meaker, M. Panlasigui, A. Zettl, F. Guinea, A. H. Castro Neto, and M. F. Crommie, Science SCIEAS 0036-8075 10.1126/science.1191700 329, 544 (2010).
6. C. Lee, X. Wei, J. W. Kysar, and J. Hone, Science SCIEAS 0036-8075 10.1126/science.1157996 321, 385 (2008); (Pubitemid 352029970)
7. T. J. Booth, P. Blake, R. R. Nair, D. Jiang, E. W. Hill, U. Bangert, A. Bleloch, M. Gass, K. S. Novoselov, M. I. Katsnelson, and A. K. Geim, Nano Lett. NALEFD 1530-6984 10.1021/nl801412y 8, 2442 (2008);
8. J. S. Bunch, S. S. Verbridge, J. S. Alden, A. M. van der Zande, J. M. Parpia, H. G. Craighead, and P. L. McEuen, Nano Lett. NALEFD 1530-6984 10.1021/nl801457b 8, 2458 (2008).
9. M. Huang, H. Yan, C. Chen, D. Song, T. F. Heinz, and J. Hone, Proc. Natl. Acad. Sci. USA 0027-8424 10.1073/pnas.0811754106 106, 7304 (2009);
10. T. M. G. Mohiuddin, A. Lombardo, R. R. Nair, A. Bonetti, G. Savini, R. Jalil, N. Bonini, D. M. Basko, C. Galiotis, N. Marzari, K. S. Novoselov, A. K. Geim, and A. C. Ferrari, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79. 205433 79, 205433 (2009);
11. W. Bao, F. Miao, Z. Chen, H. Zhang, W. Jang, C. Dames, and C. N. Lau, Nature Nanotech. NALEFD 1748-3387 10.1038/nnano.2009.191 4, 562 (2009).
12. Z. Ni, Y. Wang, T. Yu, Y. You, and Z. Shen, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.77.235403 77, 235403 (2008);
13. P. Poncharal, A. Ayari, T. Michel, and J.-L. Sauvajol, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.78.113407 78, 113407 (2008);
14. Z. Liu, K. Suenaga, P. J. F. Harris, and S. Iijima, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.015501 102, 015501 (2009);
15. J. Y. Huang, F. Ding, B. I. Yakobson, P. Lu, L. Qi, and J. Li, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0905193106 106, 10103 (2009).
16. H. Schmidt, T. Lüdtke, P. Barthold, E. McCann, V. I. Fal'ko, and R. J. Haug, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3012369 93, 172108 (2008);
17. H. Schmidt, T. Lüdtke, P. Barthold, and R. J. Haug, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.121403 81, 121403 (R) (2010).
18. M. Grayson, L. Steinke, D. Schuh, M. Bichler, L. Hoeppel, J. Smet, K. v. Klitzing, D. K. Maude, and G. Abstreiter, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76.201304 76, 201304 (R) (2007).
19. Y. Ji, Y. Chung, D. Sprinzak, M. Heiblum, D. Mahalu, and H. Shtrikman, Nature (London) NATUAS 0028-0836 10.1038/nature01503 422, 415 (2003); (Pubitemid 36411391)
20. I. Neder, M. Heiblum, Y. Levinson, D. Mahalu, and V. Umansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.016804 96, 016804 (2006); (Pubitemid 43248387)
21. L. V. Litvin, H.-P. Tranitz, W. Wegscheider, and C. Strunk, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.75.033315 75, 033315 (2007);
22. I. Neder, N. Ofek, Y. Chung, M. Heiblum, D. Mahalu, and V. Umansky, Nature (London) NATUAS 0028-0836 10.1038/nature05955 448, 333 (2007). (Pubitemid 47080341)
23. E. Prada, P. San-Jose, and L. Brey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.106802 105, 106802 (2010).
24. Interlayer electron-electron interactions, which have been neglected in the present work, are expected to have merely quantitative effects on the conductance oscillations we discuss below. They might indeed reduce their visibility.
25. S. Cranford, D. Sen, and M. J. Buehler, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3223783 95, 123121 (2009).
26. J. Zhang, J. Xiao, X. Meng, C. Monroe, Y. Huang, and J.-M. Zuo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.166805 104, 166805 (2010).
27. H. Suzuura and T. Ando, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.65.235412 65, 235412 (2002).
28. E.-A. Kim and A. H. Castro Neto, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/84/57007 84, 57007 (2008).
29. Due to the massless character of its carriers, LLs in graphene are well resolved even at room temperature: K. S. Novoselov, Z. Jiang, Y. Zhang, S. V. Morozov, H. L. Stormer, U. Zeitler, J. C. Maan, G. S. Boebinger, P. Kim, and A. K. Geim, Science SCIEAS 0036-8075 10.1126/science.1137201 315, 1379 (2007). (Pubitemid 46399539)
30. L. Oroszlány, P. Rakyta, A. Kormányos, C. J. Lambert, and J. Cserti, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.77.081403 77, 081403 (R) (2008);
31. T. K. Ghosh, A. De Martino, W. Häusler, L. Dell'Anna, and R. Egger, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.77.081404 77, 081404 (R) (2008).
32. ′ valley.
33. See, for example, D. Rainis, F. Taddei, F. Dolcini, M. Polini, and R. Fazio, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79.115131 79, 115131 (2009) and references therein.
34. We have checked that the conductance oscillations in Fig.5 are not due to the rapidity with which the gauge field is switched on in the region of the fold.
35. Z.-A. Shao, W. Porod, and C. S. Lent, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.49.7453 49, 7453 (1994).
36. L. D. Landau, L. P. Pitaevskii, E. M. Lifshitz, and A. M. Kosevich, The Theory of Elasticity (Butterworth-Heinemann, Oxford, 1986).
37. K. V. Zakharchenko, M. I. Katsnelson, and A. Fasolino, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.046808 102, 046808 (2009).
38. L. Spanu, S. Sorella, and G. Galli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.196401 103, 196401 (2009).
39. D. Sánchez-Portal, E. Artacho, J. M. Soler, A. Rubio, and P. Ordejón, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.59.12678 59, 12678 (1999).
40. J. L. Mañes, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76. 045430 76, 045430 (2007).
41. M. M. Fogler, F. Guinea, and M. I. Katsnelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.226804 101, 226804 (2008).