Spin-valley filtering in strained graphene structures with artificially induced carrier mass and spin-orbit coupling

Physical Review Letters

Volumn 113, Issue 4, 2014, Pages

  Grujić, Marko M ^a,b   Tadić, Milan Ž ^a   Peeters, François M ^b  

^a University of Belgrade   (Serbia)

^b UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

LANDFORMS;

CYCLOTRON TRAJECTORY; ELECTRICAL GATING; FILTERING EFFECTS; SPATIAL SEPARATION; SPIN SEPARATION; SPIN-ORBIT COUPLINGS; STRAIN INDUCED; STRAINED GRAPHENE;

GRAPHENE;

EID: 84905024379     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.046601     Document Type: Article

References (47)

1. D. Pesin and A.H. MacDonald, Nat. Mater. 11, 409 (2012). NMAACR 1476-1122 10.1038/nmat3305
2. 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 (Pubitemid 47206939)
3. P.J. Zomer, M.H.D. Guimarães, N. Tombros, and B.J. van Wees, Phys. Rev. B 86, 161416 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.161416
4. A. Rycerz, J. Tworzydło, and C.W.J. Beenakker, Nat. Phys. 3, 172 (2007). NPAHAX 1745-2473 10.1038/nphys547
5. 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
6. M. Grujić, M. Zarenia, A. Chaves, M. Tadić, G.A. Farias, and F.M. Peeters, Phys. Rev. B 84, 205441 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.205441
7. N. Levy, S.A. Burke, K.L. Meaker, M. Panlasigui, A. Zettl, F. Guinea, A.H. Castro Neto, and M.F. Crommie, Science 329, 544 (2010). SCIEAS 0036-8075 10.1126/science.1191700
8. A.K. Geim and I.V. Gregorieva, Nature (London) 499, 419 (2013). NATUAS 0028-0836 10.1038/nature12385
9. X. Zhong, Y.K. Yap, R. Pandey, and S.P. Karna, Phys. Rev. B 83, 193403 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.193403
10. 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
11. M. Kindermann, B. Uchoa, and D.L. Miller, Phys. Rev. B 86, 115415 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.115415
12. F. Amet, J.R. Williams, K. Watanabe, T. Taniguchi, and D. Goldhaber-Gordon, Phys. Rev. Lett. 110, 216601 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.216601
13. B. Hunt, J.D. Sanchez-Yamagishi, A.F. Young, 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
14. A.H. Castro Neto and F. Guinea, Phys. Rev. Lett. 103, 026804 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.026804
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. Hu, J. Alicea, R. Wu, and M. Franz, Phys. Rev. Lett. 109, 266801 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.266801
17. J. Balakrishnan, G.K. Koon, M. Jaiswal, A.H. Castro Neto, and B. Özyilmaz, Nat. Phys. 9, 284 (2013). NPAHAX 1745-2473 10.1038/nphys2576
18. K.-H. Jin and S.-H. Jhi, Phys. Rev. B 87, 075442 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.075442
19. B. Özylmaz, in Scientific Workshop on 2D Materials: Beyond Graphene, Singapore, 2013 (unpublished).
20. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 226801 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801 (Pubitemid 41776999)
21. M. Ezawa, Europhys. Lett. 104, 27006 (2013). EULEEJ 0295-5075 10.1209/0295-5075/104/27006
22. A. Chaves, L. Covaci, Kh.Yu. Rakhimov, G.A. Farias, and F.M. Peeters, Phys. Rev. B 82, 205430 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.205430
23. M. Ramezani Masir, A. Matulis, and F.M. Peeters, Phys. Rev. B 84, 245413 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.245413
24. Z. Wu, F. Zhai, F.M. Peeters, H.Q. Xu, and K. Chang, Phys. Rev. Lett. 106, 176802 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.176802
25. D. Moldovan, M. Ramezani Masir, L. Covaci, and F.M. Peeters, Phys. Rev. B 86, 115431 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.115431
26. Y. Jiang, T. Low, K. Chang, M.I. Katsnelson, and F. Guinea, Phys. Rev. Lett. 110, 046601 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.046601
27. N. Myoung and G. Ihm, arXiv:1312.2667v1.
28. W.-F. Tsai, C.-Y. Huang, T.-R. Chang, H. Lin, H.-T. Jeng, and A. Bansil, Nat. Commun. 4, 1500 (2013). NCAOBW 2041-1723 10.1038/ncomms2525
29. W.-T. Lu, W. Li, Y.-L. Wang, H. Jiang, and C.-T. Xu, Appl. Phys. Lett. 103, 062108 (2013). APPLAB 0003-6951 10.1063/1.4818459
30. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.113.046601, which includes Refs. [31-34], for a detailed derivation.
31. P.E. Allain and J.N. Fuchs, Eur. Phys. J. B 83, 301 (2011). EPJBFY 1434-6028 10.1140/epjb/e2011-20351-3
32. D. Xiao, W. Yao, and Q. Niu, Phys. Rev. Lett. 99, 236809 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.236809 (Pubitemid 350231930)
33. T. Cai, S.A. Yang, X. Li, F. Zhang, J.S., W. Yao, and Q. Niu, Phys. Rev. B 88, 115140 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.115140
34. M. Koshino and T. Ando, Phys. Rev. B 81, 195431 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.195431
35. A. De Martino, L. Dell'Anna, and R. Egger, Phys. Rev. Lett. 98, 066802 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.066802 (Pubitemid 46220747)
36. M. Ramezani Masir, P. Vasilopoulos, A. Matulis, and F.M. Peeters, Phys. Rev. B 77, 235443 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.235443
37. In the Supplemental Material [30] we demonstrate that (Equation presented), allowing a straightforward interpretation of Fig. 2 in terms of the exiting angle as well.
38. Note that the symmetry (Equation presented) does not hold in general, due to the aforementioned interplay with the orbital magnetic moments, although it effectively appears so for the parameter window of interest.
39. F. Guinea, A.K. Geim, M.I. Katsnelson, and K.S. Novoselov, Phys. Rev. B 81, 035408 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.035408
40. 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
41. 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. Falko, and A.K. Geim, Nature (London) 497, 594 (2013). NATUAS 0028-0836 10.1038/nature12187
42. 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
43. M. Zarenia, O. Leenaerts, B. Partoens, and F.M. Peeters, Phys. Rev. B 86, 085451 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.085451
44. C.R.Woods, L. Britnell, A. Eckmann, R.S. Ma, J.C. Lu, H.M. Guo, X. Lin, G.L. Yu, Y. Cao, R.V. Gorbachev, A.V. Kretinin, J. Park, L.A. Ponomarenko, M.I. Katsnelson, Yu.N. Gornostyrev, K.Watanabe, T. Taniguchi, C. Casiraghi, H-J. Gao, A.K. Geim, and K.S. Novoselov, Nat. Phys. 10, 451 (2014). NPAHAX 1745-2473 10.1038/nphys2954
45. J. Jung, A. DaSilva, S. Adam, and A.H. MacDonald, arXiv:1403.0496v1.
46. H. Ochoa, A.H. Castro Neto, and F. Guinea, Phys. Rev. Lett. 108, 206808 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.206808
47. V.V. Cheianov, and V.I. Fal'ko, Phys. Rev. B 74, 041403 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.74.041403 (Pubitemid 44079267)