Metal-insulator transition in graphene on boron nitride

Physical Review Letters

Volumn 113, Issue 9, 2014, Pages

  Titov, M ^a   Katsnelson, M I ^a  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BORON NITRIDE; CRITICAL CURRENT DENSITY (SUPERCONDUCTIVITY); SAMPLING; SEMICONDUCTOR INSULATOR BOUNDARIES; SOLVENTS;

CRITICAL STATE; DIRAC FERMIONS; DIRAC POINT; ELECTRONIC CONDUCTION; FINITE SAMPLES; HEXAGONAL BORON NITRIDE; INCOMMENSURATE PHASE; VECTOR POTENTIAL;

GRAPHENE;

EID: 84907363570     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.096801     Document Type: Article

References (51)

1. C.R. Dean, A.F. Young, I. Meric, C. Lee, L. Wang, S. Sorgenfrei, K. Watanabe, T. Taniguchi, P. Kim, K.L. Shepard, and J. Hone, Nat. Nanotechnol. 5, 722 (2010). NNAABX 1748-3387 10.1038/nnano.2010.172
2. A.K. Geim and I.V. Grigorieva, Nature (London) 499, 419 (2013). NATUAS 0028-0836 10.1038/nature12385
3. M. Yankowitz, J. Xue, and B.J. LeRoy, J. Phys. Condens. Matter 26, 303201 (2014). JCOMEL 0953-8984 10.1088/0953-8984/26/30/303201
4. E.V. Castro, H. Ochoa, M.I. Katsnelson, R.V. Gorbachev, D.C. Elias, K.S. Novoselov, A.K. Geim, and F. Guinea, Phys. Rev. Lett. 105, 266601 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.266601
5. 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 335, 947 (2012). SCIEAS 0036-8075 10.1126/science.1218461
6. M. Titov, R.V. Gorbachev, B.N. Narozhny, T. Tudorovskiy, M. Schütt, P.M. Ostrovsky, I.V. Gornyi, A.D. Mirlin, M.I. Katsnelson, K.S. Novoselov, A.K. Geim, and L.A. Ponomarenko, Phys. Rev. Lett. 111, 166601 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.166601
7. D.A. Abanin, S.V. Morozov, L.A. Ponomarenko, R.V. Gorbachev, A.S. Mayorov, M.I. Katsnelson, K. Watanabe, T. Taniguchi, K.S. Novoselov, L.S. Levitov, and A.K. Geim, Science 332, 328 (2011). SCIEAS 0036-8075 10.1126/science.1199595
8. M. Yankowitz, J. Xue, D. Cormode, J.D. Sanchez-Yamagishi, K. Watanabe, T. Taniguchi, P. Jarillo-Herrero, P. Jacquod, and B.J. LeRoy, Nat. Phys. 8, 382 (2012). NPAHAX 1745-2473 10.1038/nphys2272
9. L.A. Ponomarenko, R.V. Gorbachev, G.L. Yu, D.C. Elias, R. Jalil, A.A. Patel, A. Mishchenko, A.S. Mayorov, C.R. Woods, J.R. Wallbank, M. Mucha-Kruczynski, B.A. Piot, M. Potemski, I.V. Grigorieva, K.S. Novoselov, F. Guinea, V.I. Fal'ko, and A.K. Geim, Nature (London) 497, 594 (2013). NATUAS 0028-0836 10.1038/nature12187
10. C.R. Dean, L. Wang, P. Maher, C. Forsythe, F. Ghahari, Y. Gao, J. Katoch, M. Ishigami, P. Moon, M. Koshino, T. Taniguchi, K. Watanabe, K.L. Shepard, J. Hone, and P. Kim, Nature (London) 497, 598 (2013). NATUAS 0028-0836 10.1038/nature12186
11. B. Hunt, J.D. Sanchez-Yamagishi, A.F. Young1, M. Yankowitz, B.J. LeRoy, K. Watanabe, T. Taniguchi, P. Moon, M. Koshino, P. Jarillo-Herrero, and R.C. Ashoori, Science 340, 1427 (2013). SCIEAS 0036-8075 10.1126/science.1237240
12. C.R. Woods, L. Britnell, A. Eckmann, G.L. Yu, R.V. Gorbachev, A.V. Kretinin, J. Park, L.A. Ponomarenko, M.I. Katsnelson, Yu.N. Gornostyrev, K. Watanabe, T. Taniguchi, C. Casiraghi, A.K. Geim, and K.S. Novoselov, Nat. Phys. 10, 451 (2014). NPAHAX 1745-2473 10.1038/nphys2954
13. B. Sachs, T.O. Wehling, M.I. Katsnelson, and A.I. Lichtenstein, Phys. Rev. B 84, 195414 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.195414
14. A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, and A.K. Geim, Rev. Mod. Phys. 81, 109 (2009). RMPHAT 0034-6861 10.1103/RevModPhys.81.109
15. M.I. Katsnelson, Graphene: Carbon in Two Dimensions (Cambridge University Press, Cambridge, England, 2012).
16. G. Giovannetti, P.A. Khomyakov, G. Brocks, P.J. Kelly, and J. van den Brink, Phys. Rev. B 76, 073103 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76. 073103
17. Y. Sakai, T. Koretsune, and S. Saito, Phys. Rev. B 83, 205434 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.205434
18. M. Bokdam, T. Amlaki, G. Brocks, and P.J. Kelly, Phys. Rev. B 89, 201404(R) (2014); PRBMDO 1098-0121 10.1103/PhysRevB.89.201404
19. M. Bokdam, Ph.D. thesis, University Twente, 2013, http://doc.utwente.nl/ 87720/1/thesis-M-Bokdam.pdf.
20. M.M. van Wijk, A. Schuring, M.I. Katsnelson, and A. Fasolino, arXiv:1407.2813.
21. Z.-G. Chen, Z. Shi, W. Yang, X. Lu, Y. Lai, H. Yan, F. Wang, G. Zhang, and Z. Li, Nat. Commun. 5, 4461 (2014). NCAOBW 2041-1723
22. J.C.W. Song, A.V. Shytov, and L.S. Levitov, Phys. Rev. Lett. 111, 266801 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.266801
23. A.W.W. Ludwig, M.P.A. Fisher, R. Shankar, and G. Grinstein, Phys. Rev. B 50, 7526 (1994). PRBMDO 0163-1829 10.1103/PhysRevB.50.7526
24. P.M. Ostrovsky, I.V. Gornyi, and A.D. Mirlin, Phys. Rev. B 74, 235443 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.74.235443
25. P.M. Ostrovsky, I.V. Gornyi, and A.D. Mirlin, Phys. Rev. Lett. 98, 256801 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.98.256801
26. P.M. Ostrovsky, I.V. Gornyi, and A.D. Mirlin Eur. Phys. J. Spec. Top. 148, 63 (2007). EPJSAC 1951-6355 10.1140/epjst/e2007-00226-4
27. F. Evers and A.D. Mirlin, Rev. Mod. Phys. 80, 1355 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.1355
28. J.H. Bardarson, M.V. Medvedyeva, J. Tworzydło, A.R. Akhmerov, and C.W.J. Beenakker, Phys. Rev. B 81, 121414(R) (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.121414
29. M.V. Medvedyeva, J. Tworzydło, and C.W.J. Beenakker, Phys. Rev. B 81, 214203 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.214203
30. A. Altland and M.R. Zirnbauer, Phys. Rev. B 55, 1142 (1997). PRBMDO 0163-1829 10.1103/PhysRevB.55.1142
31. H.P. Wei, D.C. Tsui, and A.M.M. Pruisken, Phys. Rev. B 33, 1488 (1986). PRBMDO 0163-1829 10.1103/PhysRevB.33.1488
32. S. Gattenlohner, W.-R. Hannes, P.M. Ostrovsky, I.V. Gornyi, A.D. Mirlin, and M. Titov, Phys. Rev. Lett. 112, 026802 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.112.026802
33. G.W. Semenoff, Phys. Rev. Lett. 53, 2449 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.53.2449
34. B.A. Volkov and O.A. Pankratov, JETP Lett. 42, 178 (1985). JTPLA2 0021-3640
35. O.A. Pankratov, Phys. Lett. A 121, 360 (1987). PYLAAG 0375-9601 10.1016/0375-9601(87)90307-0
36. F.D.M. Haldane, Phys. Rev. Lett. 61, 2015 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.2015
37. G.E. Volovik, The Universe in a Helium Droplet (Oxford University, New York, 2003).
38. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
39. T. Tudorovskiy and M.I. Katsnelson, Phys. Rev. B 86, 045419 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.045419
40. J. Cardy, arXiv:math-ph/0103018;
41. J. Cardy Phys. Rev. Lett. 84, 3507 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.3507
42. H. Saleur and B. Duplantier, Phys. Rev. Lett. 58, 2325 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.58.2325
43. M.B. Isichenko, Rev. Mod. Phys. 64, 961 (1992). RMPHAT 0034-6861 10.1103/RevModPhys.64.961
44. O. Schramm, Isr. J. Math. 118, 221 (2000). ISJMAP 0021-2172 10.1007/BF02803524
45. S. Smirnov, C. R. Acad. Sci. Paris Sér. I Math. 333, 239 (2001). 0764-4469 10.1016/S0764-4442(01)01991-7
46. V. Beffara, Ann. Probab. 32, 2606 (2004). APBYAE 0091-1798 10.1214/009117904000000072
47. W. Kager and B. Nienhuis, J. Stat. Phys. 115, 1149 (2004). JSTPBS 0022-4715 10.1023/B:JOSS.0000028058.87266.be
48. C. Hongler and S. Smirnov, Probab. Theory Relat. Fields 151, 735 (2011). PTRFEU 0178-8051 10.1007/s00440-010-0313-8
49. M. Titov, Europhys. Lett. 79, 17004 (2007). EULEEJ 0295-5075 10.1209/0295-5075/79/17004
50. G.V. Mil'nikov and I.M. Sokolov, JETP Lett. 48, 536 (1988). JTPLA2 0021-3640
51. V. Gurarie and A. Zee, Int. J. Mod. Phys. B 15, 1225 (2001). IJPBEV 0217-9792 10.1142/S0217979201004794