Curvature-induced anisotropic spin-orbit splitting in carbon nanotubes

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 23, 2009, Pages

  Chico, L ^a   Lopez Sancho M P ^a   Munoz M C ^a  

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

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Indexed keywords

EID: 67650109984     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.235423     Document Type: Article

References (28)

1. S. Sahoo, T. Kontoos, J. Furer, C. Hoffman, M. Gräber, A. Cottet, and C. Schönenberger, Nat. Phys. 1, 99 (2005). 10.1038/nphys149
2. L. W. Liu, J. H. Fang, L. Lu, H. F. Yang, A. Z. Jin, and C. Z. Gu, Phys. Rev. B 74, 245429 (2006). 10.1103/PhysRevB.74.245429
3. L. Hueso, J. Pruneda, V. Ferrari, G. Burnell, J. Valdés-Herrera, B. Simmons, P. Littlewood, E. Artacho, A. Fert, and N. Mathur, Nature (London) 445, 410 (2007). 10.1038/nature05507
4. C. A. Merchant and N. Marković, Phys. Rev. Lett. 100, 156601 (2008). 10.1103/PhysRevLett.100.156601
5. P. Jarillo-Herrero, J. Kong, H. S. J. van der Zant, C. Dekker, L. P. Kouwenhoven, and S. De Franceschi, Phys. Rev. Lett. 94, 156802 (2005). 10.1103/PhysRevLett.94.156802
6. F. Kuemmeth, S. Ilani, D. Ralph, and P. McEuen, Nature (London) 452, 448 (2008). 10.1038/nature06822
7. P. Jarillo-Herrero, S. Sapmaz, C. Dekker, L. Kouwenhoven, and H. van der Zant, Nature (London) 429, 389 (2004). 10.1038/nature02568
8. L. Chico, M. P. López-Sancho, and M. C. Muñoz, Phys. Rev. Lett. 93, 176402 (2004). 10.1103/PhysRevLett.93.176402
9. Nanotubes are labeled by the numbers (n,m), given by the unrolled circumference vector Ch =n a1 +m a2 in the graphene lattice. a1, a2 are the two lattice vectors of graphene at 60°; a= | ai |.
10. T. Ando, J. Phys. Soc. Jpn. 69, 1757 (2000). 10.1143/JPSJ.69.1757
11. M. V. Entin and L. I. Magarill, Phys. Rev. B 64, 085330 (2001). 10.1103/PhysRevB.64.085330
12. A. De Martino, R. Egger, K. Hallberg, and C. A. Balseiro, Phys. Rev. Lett. 88, 206402 (2002) 10.1103/PhysRevLett.88.206402
13. A. De Martino, R. Egger, F. Murphy-Armando, and K. Hallberg, J. Phys.: Condens. Matter 16, S1437 (2004). 10.1088/0953-8984/16/17/002
14. D. Huertas-Hernando, F. Guinea, and A. Brataas, Phys. Rev. B 74, 155426 (2006). 10.1103/PhysRevB.74.155426
15. D. V. Bulaev, B. Trauzettel, and D. Loss, Phys. Rev. B 77, 235301 (2008). 10.1103/PhysRevB.77.235301
16. T.-F. Fang, W. Zuo, and H.-G. Luo, Phys. Rev. Lett. 101, 246805 (2008). 10.1103/PhysRevLett.101.246805
17. C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95, 226801 (2005). 10.1103/PhysRevLett.95.226801
18. J.-C. Charlier, X. Blase, and S. Roche, Rev. Mod. Phys. 79, 677 (2007). 10.1103/RevModPhys.79.677
19. J. C. Slater and J. F. Koster, Phys. Rev. 94, 1498 (1954). 10.1103/PhysRev.94.1498
20. D. Tománek and S. G. Louie, Phys. Rev. B 37, 8327 (1988). 10.1103/PhysRevB.37.8327
21. D. J. Chadi, Phys. Rev. B 16, 790 (1977). 10.1103/PhysRevB.16.790
22. S. Gallego and M. C. Muñoz, Surf. Sci. 423, 324 (1999). 10.1016/S0039-6028(98)00927-3
23. C. L. Kane and E. J. Mele, Phys. Rev. Lett. 78, 1932 (1997). 10.1103/PhysRevLett.78.1932
24. A. Kleiner and S. Eggert, Phys. Rev. B 63, 073408 (2001). 10.1103/PhysRevB.63.073408
25. H. Yorikawa and S. Muramatsu, Phys. Rev. B 52, 2723 (1995). 10.1103/PhysRevB.52.2723
26. R. Saito, G. Dresselhaus, and M. S. Dresselhaus, Phys. Rev. B 61, 2981 (2000). 10.1103/PhysRevB.61.2981
27. T. Ando, J. Phys. Soc. Jpn. 74, 777 (2005). 10.1143/JPSJ.74.777
28. The family index ν as defined in this work or, equivalently, mod (n-m,3), is called chiral index by other authors. Given that nanotubes with different chiralities may belong to the same family, we prefer the previous denomination.