Transport through quantum spin Hall insulator/metal junctions in graphene ribbons

Journal of Computational Electronics

Volumn 12, Issue 2, 2013, Pages 63-75

  Prada, Elsa ^a   Metalidis, Georgo ^b  

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

^b KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

Graphene ribbons; pn Junctions; Quantum spin Hall effect; Quantum transport

Indexed keywords

CRYSTALLOGRAPHIC ORIENTATIONS; GRAPHENE RIBBONS; INTRINSIC SPIN-ORBIT COUPLINGS; P-N JUNCTION; POTENTIAL STEPS; QUANTUM SPIN HALL EFFECT; QUANTUM SPIN HALLS; QUANTUM TRANSPORT;

GRAPHENE; QUANTUM ELECTRONICS; SPIN HALL EFFECT;

QUANTUM CHEMISTRY;

EID: 84879016553     PISSN: 15698025     EISSN: 15728137     Source Type: Journal    
DOI: 10.1007/s10825-012-0427-6     Document Type: Article

References (55)

1. Adroguer, P., Grenier, C., Carpentier, D., Cayssol, J., Degiovanni, P., Orignac, E.: Probing the helical edge states of a topological insulator by cooper-pair injection. Phys. Rev. B 82, 081303 (2010)
2. Akhmerov, A.R., Bardarson, J.H., Rycerz, A., Beenakker, C.W.J.: Theory of the valley-valve effect in graphene nanoribbons. Phys. Rev. B 77, 205416 (2008)
3. Akhmerov, A.R., Beenakker, C.W.J.: Detection of valley polarization in graphene by a superconducting contact. Phys. Rev. Lett. 98, 157003 (2007) (Pubitemid 46582693)
4. Bai, C., Wang, J., Jia, S., Yang, Y.: Spin-orbit interaction effects on magnetoresistance in graphene-based ferromagnetic double junctions. Appl. Phys. Lett. 96(22), 223102 (2010)
5. Beenakker, C.W.J.: Specular Andreev reflection in graphene. Phys. Rev. Lett. 97, 067007 (2006) (Pubitemid 44223153)
6. Bercioux, D., De Martino, A.: Spin-resolved scattering through spin-orbit nanostructures in graphene. Phys. Rev. B 81, 165410 (2010)
7. Bernevig, B.A., Zhang, S.C.: Quantum spin Hall effect. Phys. Rev. Lett. 96, 106802 (2006)
8. Bernevig, B.A., Hughes, T.L., Zhang, S.C.: Quantum spin Hall effect and topological phase transition in hgte quantum wells. Science 314(5806), 1757-1761 (2006) (Pubitemid 44969083)
9. Boettger, J.C., Trickey, S.B.: First-principles calculation of the spin-orbit splitting in graphene. Phys. Rev. B 75, 121402 (2007)
10. Brey, L., Fertig, H.A.: Electronic states of graphene nanoribbons studied with the Dirac equation. Phys. Rev. B 73, 235411 (2006) (Pubitemid 44943452)
11. Castro Neto, A.H., Guinea, F.: Impurity-induced spin-orbit coupling in graphene. Phys. Rev. Lett. 103, 026804 (2009)
12. Castro Neto, A.H., Guinea, F., Peres, N.M.R., Novoselov, K.S., Geim, A.K.: The electronic properties of graphene. Rev. Mod. Phys. 81, 109-162 (2009)
13. Cheianov, V., Fal'ko, V., Altshuler, B.: The focusing of electron flow and a Veselago lens in graphene pn junctions. Science 315(5816), 1252 (2007) (Pubitemid 46364258)
14. Cho, S., Chen, Y., Fuhrer, M.: Gate-tunable graphene spin valve. Appl. Phys. Lett. 91(12), 123105 (2007) (Pubitemid 47461938)
15. Das Sarma, S., Adam, S., Hwang, E.H., Rossi, E.: Electronic transport in two-dimensional graphene. Rev. Mod. Phys. 83, 407-470 (2011)
16. Datta, S.: Electronic Transport in Mesoscopic Systems. Cambridge Univ. Press, Cambridge (1997)
17. Fu, L., Kane, C.L.: Josephson current and noise at a superconductor/ quantum-spin-hall-insulator/superconductor junction. Phys. Rev. B 79(16), 161408 (2009)
18. Gmitra, M., Konschuh, S., Ertler, C., Ambrosch-Draxl, C., Fabian, J.: Band-structure topologies of graphene: spin-orbit coupling effects from first principles. Phys. Rev. B 80, 235431 (2009)
19. Gosalbez-Martinez, D., Soriano, D., Palacios, J.J., Fernandez-Rossier, J.: Spin-filtered edge states in graphene. Solid State Commun. 152(15), 1469-1476 (2012)
20. Hasan, M.Z., Kane, C.L.: Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045-3067 (2010)
21. Heersche, H., Jarillo-Herrero, P., Oostinga, J., Vandersypen, L., Morpurgo, A.: Bipolar supercurrent in graphene. Nature 446(7131), 56-59 (2007) (Pubitemid 46350681)
22. Hu, J., Alicea, J., Wu, R., Franz, M.: Giant topological insulator gap in graphene with 5d adatoms (2012). arXiv:1206.4320
23. Huertas-Hernando, D., Guinea, F., Brataas, A.: Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps. Phys. Rev. B 74, 155426 (2006) (Pubitemid 44631185)
24. Kane, C.L., Mele, E.J.: Quantum spin Hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005) (Pubitemid 41776999)
25. Katsnelson, M.I., Novoselov, K.S., Geim, A.K.: Chiral tunnelling and the Klein paradox in graphene. Nat. Phys. 2(9), 620-625 (2006) (Pubitemid 44328348)
26. Klitzing, K.V., Dorda, G., Pepper, M.: New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance. Phys. Rev. Lett. 45, 494-497 (1980)
27. Knez, I., Du, R.R., Sullivan, G.: Evidence for helical edge modes in inverted InAs/GaSb quantum wells. Phys. Rev. Lett. 107, 136603 (2011)
28. König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L.W., Qi, X.L., Zhang, S.C.: Quantum spin Hall insulator state in hgte quantum wells. Science 318(5851), 766-770 (2007) (Pubitemid 351411764)
29. López-Sancho, M.P., Muñoz, M.C.: Intrinsic spin-orbit interactions in flat and curved graphene nanoribbons. Phys. Rev. B 83, 075406 (2011)
30. Mahfouzi, F., Nikolić, B.K., Chen, S.H., Chang, C.R.: Microwave-driven ferromagnet-topological-insulator heterostructures: the prospect for giant spin battery effect and quantized charge pump devices. Phys. Rev. B 82, 195440 (2010)
31. Metalidis, G., Bruno, P.: Green's function technique for studying electron flow in two-dimensional mesoscopic samples. Phys. Rev. B 72, 235304 (2005) (Pubitemid 43029233)
32. Miao, F., Wijeratne, S., Zhang, Y., Coskun, U., Bao, W., Lau, C.: Phase-coherent transport in graphene quantum billiards. Science 317(5844), 1530-1533 (2007) (Pubitemid 47417429)
33. Min, H., Hill, J.E., Sinitsyn, N.A., Sahu, B.R., Kleinman, L., MacDonald, A.H.: Intrinsic and Rashba spin-orbit interactions in graphene sheets. Phys. Rev. B 74, 165310 (2006) (Pubitemid 44537122)
34. Mondal, S., Sen, D., Sengupta, K., Shankar, R.: Tuning the conductance of Dirac fermions on the surface of a topological insulator. Phys. Rev. Lett. 104(4), 46403 (2010)
35. Mucciolo, E.R., Castro Neto, A.H., Lewenkopf, C.H.: Conductance quantization and transport gaps in disordered graphene nanoribbons. Phys. Rev. B 79, 075407 (2009)
36. Novik, E.G., Recher, P., Hankiewicz, E.M., Trauzettel, B.: Signatures of topological order in ballistic bulk transport of hgte quantum wells. Phys. Rev. B 81, 241303 (2010)
37. Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Katsnelson, M.I., Grigorieva, I.V., Dubonos, S.V., Firsov, A.A.: Two-dimensional gas of massless Dirac fermions in graphene. Nature 438(7065), 197-200 (2005) (Pubitemid 41599867)
38. Pereg-Barnea, T., Refael, G.: Inducing topological order in a honeycomb lattice. Phys. Rev. B 85, 075127 (2012)
39. Prada, E., San-Jose, P., Brey, L.: Zero Landau level in folded graphene nanoribbons. Phys. Rev. Lett. 105, 106802 (2010)
40. Prada, E., San-Jose, P., León, G., Fogler, M.M., Guinea, F.: Singular elastic strains and magnetoconductance of suspended graphene. Phys. Rev. B 81, 161402 (2010)
41. Prada, E., San-Jose, P., Brey, L., Fertig, H.: Band topology and the quantum spin Hall effect in bilayer graphene. Solid State Commun. 151(16), 1075-1083 (2011)
42. Roth, A., Brüne, C., Buhmann, H., Molenkamp, L.W., Maciejko, J., Qi, X.L., Zhang, S.C.: Nonlocal transport in the quantum spin Hall state. Science 325(5938), 294-297 (2009)
43. Stanescu, T., Sau, J., Lutchyn, R., Sarma, S.: Proximity effect at the superconductor-topological insulator interface. Phys. Rev. B 81(24), 241310 (2010)
44. Ström, A., Johannesson, H.: Tunneling between edge states in a quantum spin Hall system. Phys. Rev. Lett. 102, 096806 (2009)
45. Tombros, N., Jozsa, C., Popinciuc, M., Jonkman, H., Van Wees, B.: Electronic spin transport and spin precession in single graphene layers at room temperature. Nature 448(7153), 571-574 (2007) (Pubitemid 47206939)
46. Weeks, C., Hu, J., Alicea, J., Franz, M., Wu, R.: Engineering a robust quantum spin Hall state in graphene via adatom deposition. Phys. Rev. X 1, 021001 (2011)
47. Xia, F., Perebeinos, V., Lin, Y.M., Wu, Y., Avouris, P.: The origins and limits of metal-graphene junction resistance. Nat. Nanotechnol. 6(3), 179-184 (2011)
48. Yamakage, A., Imura, K., Cayssol, J., Kuramoto, Y.: Spin-orbit effects in a graphene bipolar pn junction. Europhys. Lett. 87(4), 47005 (2009)
49. Yamakage, A., Imura, K., Cayssol, J., Kuramoto, Y.: Interfacial charge and spin transport in z-{2} topological insulators. Phys. Rev. B 83(12), 125401 (2011)
50. Yao, Y., Ye, F., Qi, X.L., Zhang, S.C., Fang, Z.: Spin-orbit gap of graphene: first-principles calculations. Phys. Rev. B 75, 041401 (2007)
51. Yokoyama, T., Tanaka, Y., Nagaosa, N.: Giant spin rotation in the junction between a normal metal and a quantum spin Hall system. Phys. Rev. Lett. 102(16), 166801 (2009)
52. Young, A.F., Kim, P.: Quantum interference and Klein tunnelling in graphene heterojunctions. Nat. Phys. 5(3), 222-226 (2009)
53. Zarea, M., Sandler, N.: Quantum spin Hall phase in neutral zigzag graphene ribbons. Physica B 404(18), 2694-2698 (2009)
54. Zhang, L., Chang, K., Xie, X., Buhmann, H., Molenkamp, L.: Quantum tunneling through planar p-n junctions in hgte quantum wells. New J. Phys. 12(8), 083058 (2010)
55. Zhang, Y., Tan, Y.W., Stormer, H.L., Kim, P.: Experimental observation of the quantum Hall effect and Berry's phase in graphene. Nature 438(7065), 201-204 (2005) (Pubitemid 41599868)