Giant spin-orbit interaction due to rotating magnetic fields in graphene nanoribbons

Physical Review X

Volumn 3, Issue 1, 2013, Pages 1-6

  Klinovaja, Jelena ^a   Loss, Daniel ^a  

^a UNIVERSITY OF BASEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPHENE NANORIBBONS; HELICAL MODES; NONUNIFORM MAGNETIC FIELDS; RASHBA SPIN ORBIT INTERACTION; ROTATING MAGNETIC FIELDS; SPIN ORBIT INTERACTIONS; TEMPERATURE REGIMES; TOPOLOGICAL PHASE;

GRAPHENE; MAGNETIC FIELDS;

NANORIBBONS;

EID: 84875277534     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.3.011008     Document Type: Article

References (32)

1. K. S. Novoselov, A. K. Geim, S.V. Morozov, D. Jiang, M. I. Katsnelson, I.V. Grigorieva, S.V. Dubonos, and A. A. Firsov, Two-Dimensional Gas of Massless Dirac Fermions in Graphene, Nature (London) (2005)., 438, 197
2. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The Electronic Properties of Graphene, Rev. Mod. Phys. (2009)., 81, 109
3. J. Cai, P. Ruffieux, R. Jaafar, M. Bieri, T. Braun, S. Blankenburg, M. Muoth, A. Seitsonen, M. Saleh, X. Feng, K. Moller, and R. Fasel, Atomically Precise Bottom-Up Fabrication of Graphene Nanoribbons, Nature (London) (2010)., 466, 470
4. X. Wang, Y. Ouyang, L. Jiao, H. Wang, L. Xie, J. Wu, J. Guo, and H. Dai, Graphene Nanoribbons with Smooth Edges Behave as Quantum Wires, Nat. Nanotechnol. (2011)., 6, 563
5. M.Y. Han, B. Ozyilmaz, Y. Zhang, and P. Kim, Energy Band-Gap Engineering of Graphene Nanoribbons, Phys. Rev. Lett. (2007)., 98, 206805
6. D. Marchenko, A. Varykhalov, M. R. Scholz, G. Bihlmayer, E. I. Rashba, A. Rybkin, A. M. Shikin, and O. Rader, Graphene for Spintronics: Giant Rashba Splitting Due to Hybridization with Au
7. P. Streda and P. Seba, Antisymmetric Spin Filtering in One-Dimensional Electron Systems with Uniform Spin-Orbit Coupling, Phys. Rev. Lett. (2003)., 90, 256601
8. J. Klinovaja, M. J. Schmidt, B. Braunecker, and D. Loss, Helical Modes in Carbon Nanotubes Generated by Strong Electric Fields, Phys. Rev. Lett. (2011)., 106, 156809
9. J. Klinovaja, S. Gangadharaiah, and D. Loss, Electric-Field-Induced Majorana Fermions in Armchair Carbon Nanotubes, Phys. Rev. Lett. (2012)., 108, 196804
10. J. Klinovaja, G. J. Ferreira, and D. Loss, Helical States in Curved Bilayer Graphene, Phys. Rev. B (2012)., 86, 235416
11. C. H. L. Quay, T. L. Hughes, J. A. Sulpizio, L. N. Pfeiffer, K.W. Baldwin, K.W. West, D. Goldhaber-Gordon, and R. de Picciotto, Observation of a One-Dimensional Spin Orbit Gap in a Quantum Wire, Nat. Phys. (2010)., 6, 336
12. K. Sato, D. Loss, and Y. Tserkovnyak, Crossed Andreev Reflection in Quantum Wires with Strong Spin-Orbit Interaction, Phys. Rev. B (2012)., 85, 235433
13. J. Alicea, New Directions in the Pursuit of Majorana Fermions in Solid State Systems, Rep. Prog. Phys. (2012)., 75, 076501
14. B. Karmakar, D. Venturelli, L. Chirolli, F. Taddei, V. Giovannetti, R. Fazio, S. Roddaro, G. Biasiol, L. Sorba, V. Pellegrini, and F. Beltram, Controlled Coupling of Spin-Resolved Quantum Hall Edge States, Phys. Rev. Lett. (2011)., 107, 236804
15. C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett. (2005)., 95, 226801
16. L. Brey and H. Fertig, Electronic States of Graphene Nanoribbons Studied with the Dirac Equation, Phys. Rev. B (2006)., 73, 235411
17. E. McCann and V. I. Falko, Symmetry of Boundary Conditions of the Dirac Equation for Electrons in Carbon Nanotubes, J. Phys. Condens. Matter (2004)., 16, 2371
18. A. Akhmerov and C. Beenakker, Boundary Conditions for Dirac Fermions on a Terminated Honeycomb Lattice, Phys. Rev. B (2008)., 77, 085423
19. D. Huertas-Hernando, F. Guinea, and A. Brataas, Spin-Orbit Coupling in Curved Graphene, Fullerenes, Nanotubes, and Nanotube Caps, Phys. Rev. B (2006)., 74, 155426
20. J. Klinovaja, M. J. Schmidt, B. Braunecker, and D. Loss, Carbon Nanotubes in Electric and Magnetic Fields, Phys. Rev. B (2011)., 84, 085452
21. B. Braunecker, G. I. Japaridze, J. Klinovaja, and D. Loss, Spin-Selective Peierls Transition in Interacting One-Dimensional Conductors with Spin-Orbit Interaction, Phys. Rev. B (2010)., 82, 045127
22. M. Kjaergaard, K. Wolms, and K. Flensberg, Majorana Fermions in Superconducting Nanowires without Spin-Orbit Coupling, Phys. Rev. (2012)., B 85, 020503
23. J. Klinovaja, P. Stano, and D. Loss, Transition from Fractional to Majorana Fermions in Rashba Nanowires, Phys. Rev. Lett. (2012)., 109, 236801
24. K. Xu, L. Qin, and J. R. Heath, The Crossover from Two Dimensions to One Dimension in Granular Electronic Materials, Nat. Nanotechnol. (2009)., 4, 368
25. L. S. Levitov and E. I. Rashba, Dynamical Spin-Electric Coupling in a Quantum Dot, Phys. Rev. (2003). B 67, 115324
26. H. B. Heersche, P. Jarillo-Herrero, J. B. Oostinga, L. M. K. Vandersypen, and A. F. Morpurgo, Bipolar Supercurrent in Graphene, Nature (London) (2007)., 446, 56
27. X. Du, I. Skachko, and E.Y. Andrei, Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions, Phys. Rev. (2008)., B 77, 184507
28. D. Rainis, F. Taddei, F. Dolcini, M. Polini, and R. Fazio, Andreev Reflection in Graphene Nanoribbons, Phys. Rev. (2009)., B 79, 115131
29. J. Klinovaja and D. Loss, Composite Majorana Fermion Wave Functions in Nanowires, Phys. Rev. (2012)., B 86, 085408
30. S. Gangadharaiah, B. Braunecker, P. Simon, and D. Loss, Majorana Edge States in Interacting One-Dimensional Systems, Phys. Rev. Lett. (2011)., 107, 036801
31. V. Mourik, K. Zuo, S. M. Frolov, S.R. Plissard, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices, Science (2012)., 336, 1003
32. A. Das, Y. Ronen, Y. Most, Y. Oreg, M. Heiblum, and H. Shtrikman, Zero-Bias Peaks and Splitting in an Al-InAs Nanowire Topological Superconductor as a Signature of Majorana Fermions, Nat. Phys. (2012)., 8, 887