Manifestations of topological effects in graphene

Contemporary Physics

Volumn 50, Issue 2, 2009, Pages 375-389

  Pachos, Jiannis K ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Anyons; Graphene; Index theorem; Topology

Indexed keywords

EID: 67650266941     PISSN: 00107514     EISSN: 13665812     Source Type: Journal    
DOI: 10.1080/00107510802650507     Document Type: Article

References (43)

1. A.K. Geim and K.S. Novoselov, The rise of graphene, Nat. Mater. 6 (2007), pp. 183-191.
2. A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, and A.K. Geim, The electronic properties of graphene, preprint (2007). Available at http://www.arXiv:0709.1163.
3. P.R. Wallace, Phys. Rev. 71 (1947), pp. 622-634.
4. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Gregorieva, and A. A. Forsov, Science 306 (2004), pp. 666-669.
5. M.I. Katsnelson, K.S. Novoselov, and A.K. Geim, Chiral tunnelling and the Klein paradox in graphene, Nat. Phys. 2 (2006), pp. 620-625.
6. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, I.V. rigorieva, S.V. Dubonos, and A.A. Firsov, Nature 438 (2005), pp. 197-200
7. K.S. Novoselov, E. McCann, S.V. Morozov, V.I. Falko, M.I. Katsnelson, U. Zeitler, D. Jiang, F. Schedin, and A.K. Geim, Nat. Phys. 2 (2006), pp. 177-180.
8. 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 315 (2007), p. 1379.
9. M.F. Atiyah and I.M. Singer, Ann. Math. 87 (1968), pp. 485-530; Ann. Math. 87 (1968), 546-604;
10. Ann. Math. 93 (1971), 119-138; Ann. Math. 98 (1971), pp. 139-149;
11. M.F. Atiyah and G.B. Sigal, Ann. Math. 87 (1968), pp. 531-545.
12. T. Eguchi, P.B. Gilkey, and A.J. Hanson, Phys. Rep. 66 (1980), pp. 215-393.
13. M. Stone, Ann. Phys. 155 (1984), pp. 56-84.
14. J.K. Pachos and M. Stone, Int. J. Mod. Phys. B 21 (2007), pp. 5399-5443.
15. J.K. Pachos, A. Hatzinikitas, and M. Stone, Eur. Phys. J. Spec. Top. 148 (2007), pp. 127-132.
16. G.K. Brennen and J.K. Pachos, Proc. R. Soc. A 464 (2008), pp. 1-24.
17. Y. Aharonov and D. Bohm, Phys. Rev. 115 (1959), pp. 485-491.
18. D.P. DiVincenzo and E.J. Mele, Phys. Rev. B 29 (1984), pp. 1685-1694.
19. J. Gonzalez, F. Guinea, and M.A.H. Vozmediano, Nucl. Phys. B 406 (1993), pp. 771-794.
20. V.A. Osipov and E.A. Kochetov, JETP Lett. 73 (2001), pp. 631-634.
21. D.V. Kolesnikov and V.A. Osipov, Eur. Phys. J. B 49 (2006), pp. 465-470.
22. P.E. Lammert and V.H. Crespi, Phys. Rev. Lett. 85, 5190 (2000); Phys. Rev. B 69 (2004), 035406.
23. H.W. Kroto, J.R. Heath, S.C. O'Brien, R.F. Curl, and R.E. Smalley, Nature 318 (1985), pp. 162-163.
24. L.V. Radushkevich and V.M. Lukyanovich, J. Phys. Chem. 26 (1952), pp. 88-95.
25. See for example, I. Lakatos, Proofs and Refutations, Cambridge Technology Press, Cambridge, 1976.
26. D.V. Vassilevich, Phys. Rep. 388 (2003), pp. 279-360.
27. S. Coleman, The magnetic monopole fifty years later,in The Unity of the Fundamental Interactions, A. Zichichi, ed., Plenum Press, New York, 1983.
28. S. Reich, C. Thomsen, and P. Ordejon, Phys. Rev. B 65 (2002), 155411.
29. R. Saito, M. Fujita, G. Dresselhaus, and M. S. Dresselhaus, Phys. Rev. B 46 (1992), pp. 1804-1811.
30. C.-Y. Hou, C. Chamon, and C. Mudry, Phys. Rev. Lett. 98 (2007), 186809.
31. R. Jackiw and S.-Y. Pi, Phys. Rev. Lett. 98 (2007), 266402.
32. C. Chamon, C.-Y. Hou, R. Jackiw, C. Mudry, S.-Y. Pi, and A.P. Schnyder, Phys. Rev. Lett. 100 (2008), 110405.
33. J.K. Pachos, M. Stone, and K. Temme, Phys. Rev. Lett. 100 (2008), 156806.
34. P. Ghaemi and F. Wilczek, Near-zero modes in superconducting graphene, preprint (2007). Available at arXiv:0709.2626.
35. B. Seradjeh, H. Weber, and M. Franz, Phys. Rev. Lett. 101 (2008), 246404.
36. R. Jackiw and P. Rossi, Nucl. Phys. B 190 (1981), pp. 681-691.
37. E.J. Weinberg, Phys. Rev. D 24 (1981), pp. 2669-2673. [35] C. Callias, Commun. Math. Phys. 62 (1978), pp. 213-234.
38. P.W. Fowler, M. Fujita, and M. Yoshida, J. Chem. Soc. Faraday Trans. 92 (1996), pp. 3763-3775.
39. J. Gonzalez, F. Guinea, and M.A.H. Vozmediano, Phys. Rev. Lett. 69 (1992), pp. 172-175.
40. R. Jackiw, Topology in physics, preprint (2005). Available at math-ph/0503039.
41. D.C. Tsui, H.L. Stormer, and A.C. Gossard, Phys. Rev. Lett. 48 (1982), pp. 1559-1562.
42. V.J. Goldman and B. Su, Science 267 (1995), pp. 1010-1012.
43. B. Seradjeh and M. Franz, Phys. Rev. Lett. 101 (2008), 146401.