Spin-orbit interaction and isotropic electronic transport in graphene

Physical Review Letters

Volumn 112, Issue 13, 2014, Pages

  Asmar, Mahmoud M ^a,b   Ulloa, Sergio E ^a,b  

^a OHIO UNIVERSITY   (United States)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BROKEN SYMMETRY; CONSTANT RATIO; ELECTRONIC TRANSPORT; MASSLESS ELECTRONS; SPIN ORBIT INTERACTIONS; SPIN-ORBIT COUPLINGS; TRANSPORT MEASUREMENTS;

CARRIER CONCENTRATION; SCATTERING;

GRAPHENE;

EID: 84898076320     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.136602     Document Type: Article

References (48)

1. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, and A.A. Firsov, Science 306, 666 (2004). SCIEAS 0036-8075 10.1126/science.1102896
2. 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
3. G.W. Semenoff, Phys. Rev. Lett. 53, 2449 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.53.2449
4. M.H.D. Guimares, A. Veligura, P.J. Zomer, T. Maassen I.J. Vera-Marun, N. Tombros, and B.J. van Wees, Nano Lett. 12, 3512 (2012). NALEFD 1530-6984 10.1021/nl301050a
5. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 226801 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801
6. H. Min, J.E. Hill, N.A. Sinitsyn, B.R. Sahu, L. Kleinman, and A.H. MacDonald, Phys. Rev. B 74, 165310 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.74. 165310
7. S. Konschuh, M. Gmitra, and J. Fabian, Phys. Rev. B 82, 245412 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.245412
8. N. Tombros, C. Jozsa, M. Popinciuc, H.T. Jonkman, and B.J. van Wees, Nature (London) 448, 571 (2007). NATUAS 0028-0836 10.1038/nature06037
9. A.H. Castro Neto and F. Guinea, Phys. Rev. Lett. 103, 026804 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.026804
10. K. Pi, W. Han, K.M. McCreary, A.G. Swartz, Y. Li, and R.K. Kawakami, Phys. Rev. Lett. 104, 187201 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104. 187201
11. D. Huertas-Hernando, F. Guinea, and A. Brataas, Phys. Rev. B 74, 155426 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.74.155426
12. J.-S. Jeong, J. Shin, and H.-W. Lee, Phys. Rev. B 84, 195457 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.195457
13. D. Marchenko, A. Varykhalov, M. Scholz, G. Bihlmayer, E. Rashba, A. Rybkin, A. Shikin, and O. Rader, Nat. Commun. 3, 1232 (2012). NCAOBW 2041-1723 10.1038/ncomms2227
14. J. Balakrishnan, G. Kok Wai Koon, M. Jaiswal, A.H. Castro Neto, and B. Ozyilmaz, Nat. Phys. 9, 284 (2013). NPAHAX 1745-2473 10.1038/nphys2576
15. C. Weeks, J. Hu, J. Alicea, M. Franz, and R. Wu, Phys. Rev. X 1, 021001 (2011). PRXHAE 2160-3308 10.1103/PhysRevX.1.021001
16. J.P. Robinson, H. Schomerus, L. Oroszlány, and V.I. Fal'ko, Phys. Rev. Lett. 101, 196803 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.196803
17. D.C. Elias, R.R. Nair, T.M.G. Mohiuddin, S.V. Morozov, P. Blake, M.P. Halsall, A.C. Ferrari, D.W. Boukhvalov, M.I. Katsnelson, A.K. Geim, and K.S. Novoselov, Science 323, 610 (2009). SCIEAS 0036-8075 10.1126/science.1167130
18. J.-H. Chen, W.G. Cullen, C. Jang, M.S. Fuhrer, and E.D. Williams, Phys. Rev. Lett. 102, 236805 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.236805
19. T.O. Wehling, S. Yuan, A.I. Lichtenstein, A.K. Geim, and M.I. Katsnelson, Phys. Rev. Lett. 105, 056802 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105. 056802
20. M.I. Katsnelson, F. Guinea, and A.K. Geim, Phys. Rev. B 79, 195426 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.195426
21. B.M. Kessler, Ç.Ö. Girit, A. Zettl, and V. Bouchiat, Phys. Rev. Lett. 104, 047001 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.047001
22. M. Titov, P.M. Ostrovsky, I.V. Gornyi, A. Schuessler, and A.D. Mirlin, Phys. Rev. Lett. 104, 076802 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104. 076802
23. A. Ferreira, J. Viana-Gomes, J. Nilsson, E.R. Mucciolo, N.M.R. Peres, and A.H. Castro Neto, Phys. Rev. B 83, 165402 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.165402
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. 102, 206603 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102. 206603
25. N.J.G. Couto, B. Sacépé, and A.F. Morpurgo, Phys. Rev. Lett. 107, 225501 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.225501
26. 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. 104, 126801 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.126801
27. Z.H. Ni, L.A. Ponomarenko, R.R. Nair, R. Yang, S. Anissimova, I.V. Grigorieva, F. Schedin, P. Blake, Z.X. Shen, E.H. Hill, K.S. Novoselov, and A.K. Geim, Nano Lett. 10, 3868 (2010). NALEFD 1530-6984 10.1021/nl101399r
28. A. Eckmann, A. Felten, A. Mishchenko, L. Britnell, R. Krupke, K.S. Novoselov, and C. Casiraghi, Nano Lett. 12, 3925 (2012). NALEFD 1530-6984 10.1021/nl300901a
29. J.-H. Chen, C. Jang, S. Adam, M.S. Fuhrer, E.D. Williams, and M. Ishigami, Nat. Phys. 4, 377 (2008). NPAHAX 1745-2473 10.1038/nphys935
30. S. Adam, E.H. Hwang, V.M. Galitski, and S. Das Sarma, Proc. Natl. Acad. Sci. U.S.A. 104, 18392 (2007). PNASA6 0027-8424 10.1073/pnas.0704772104
31. C. Jang, S. Adam, J.-H. Chen, E.D. Williams, S. Das Sarma, and M.S. Fuhrer, Phys. Rev. Lett. 101, 146805 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.146805
32. F. Chen, J. Xia, and N. Tao, Nano Lett. 9, 1621 (2009). NALEFD 1530-6984 10.1021/nl803922m
33. J. Martin, N. Akerman, G. Ulbricht, T. Lohmann, J.H. Smet, K. von Klitzing, and A. Yacoby, Nat. Phys. 4, 144 (2008). NPAHAX 1745-2473 10.1038/nphys781
34. V.M. Pereira, F. Guinea, J.M.B. Lopes dos Santos, N.M.R. Peres, and A.H. Castro Neto, Phys. Rev. Lett. 96, 036801 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.036801
35. A. Matulis and F.M. Peeters, Phys. Rev. B 77, 115423 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.115423
36. T. Ando, T. Nakanishi, and R. Saito, J. Phys. Soc. Jpn. 67, 2857 (1998). JUPSAU 0031-9015 10.1143/JPSJ.67.2857
37. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.112.136602 for the analytical form of the eigenstates, analysis of the symmetries, and different scattering configurations.
38. D.S. Novikov, Phys. Rev. B 76, 245435 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76.245435
39. M.M. Asmar and S.E. Ulloa, Phys. Rev. B 87, 075420 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.075420
40. D. Huertas-Hernando, F. Guinea, and A. Brataas, Phys. Rev. Lett. 103, 146801 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.146801
41. H. Ochoa, A.H. Castro Neto, and F. Guinea, Phys. Rev. Lett. 108, 206808 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.206808
42. S.E. Ulloa and G. Kirczenow, Phys. Rev. Lett. 56, 2537 (1986). PRLTAO 0031-9007 10.1103/PhysRevLett.56.2537
43. M.I. Katsnelson, K.S. Novoselov, and A.K. Geim, Nat. Phys. 2, 620 (2006). NPAHAX 1745-2473 10.1038/nphys384
44. V.V. Cheianov, V. Fal'ko, and B.L. Altshuler, Science 315, 1252 (2007). SCIEAS 0036-8075 10.1126/science.1138020
45. A.F. Young and P. Kim, Nat. Phys. 5, 222 (2009). NPAHAX 1745-2473 10.1038/nphys1198
46. C.W.J. Beenakker, Rev. Mod. Phys. 80, 1337 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.1337
47. 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
48. D.C. Elias, R.V. Gorbachev, A.S. Mayorov, S.V. Morozov, A.A. Zhukov, P. Blake, L.A. Ponomarenko, I.V. Grigorieva, K.S. Novoselov, F. Guinea, and A.K. Geim, Nat. Phys. 7, 701 (2011). NPAHAX 1745-2473 10.1038/nphys2049