User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

Two-Dimensional Graphene with Structural Defects: Elastic Mean Free Path, Minimum Conductivity, and Anderson Transition

Primary tabs

Lherbier, Aurélien [UCL] Dubois, Simon M-M [UCL] Declerck, Xavier [UCL] Roche, Stephan Niquet, Yann-Michel Charlier, Jean-Christophe [UCL]

Quantum transport properties of disordered graphene with structural defects (Stone-Wales and divacancies) are investigated using a realistic pi-pi* tight-binding model elaborated from ab initio calculations. Mean free paths and semiclassical conductivities are then computed as a function of the nature and density of defects (using an order-N real-space Kubo-Greenwood method). By increasing the defect density, the decay of the semiclassical conductivities is predicted to saturate to a minimum value of 4e(2)/pi h over a large range (plateau) of carrier density (>0.5 X 10(14) cm(-2)). Additionally, strong contributions of quantum interferences suggest that the Anderson localization regime could be experimentally measurable for a defect density as low as 1%.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2011
Language Anglais
Journal information "Physical Review Letters" - Vol. 106, no. 4, p. 046803 (2011)
Peer reviewed yes
Publisher American Physical Society ((United States) [S.l.])
issn 0031-9007
e-issn 1079-7114
Publication status Publié
Affiliation UCL - SST/IMCN/NAPS - Nanoscopic Physics
Keywords CISM CECI
Links
  1. Geim A. K., Novoselov K. S., The rise of graphene, 10.1038/nmat1849
  2. Castro Neto A. H., Guinea F., Peres N. M. R., Novoselov K. S., Geim A. K., The electronic properties of graphene, 10.1103/revmodphys.81.109
  3. Lagendijk Ad, Tiggelen Bart van, Wiersma Diederik S., Fifty years of Anderson localization, 10.1063/1.3206091
  4. Lee Patrick A., Ramakrishnan T. V., Disordered electronic systems, 10.1103/revmodphys.57.287
  5. Evers Ferdinand, Mirlin Alexander D., Anderson transitions, 10.1103/revmodphys.80.1355
  6. McCann E., Kechedzhi K., Fal’ko Vladimir I., Suzuura H., Ando T., Altshuler B. L., Weak-Localization Magnetoresistance and Valley Symmetry in Graphene, 10.1103/physrevlett.97.146805
  7. Morpurgo A. F., Guinea F., Intervalley Scattering, Long-Range Disorder, and Effective Time-Reversal Symmetry Breaking in Graphene, 10.1103/physrevlett.97.196804
  8. Suzuura Hidekatsu, Ando Tsuneya, Weak-Localization in Metallic Carbon Nanotubes, 10.1143/jpsj.75.024703
  9. Bardarson J. H., Tworzydło J., Brouwer P. W., Beenakker C. W. J., One-Parameter Scaling at the Dirac Point in Graphene, 10.1103/physrevlett.99.106801
  10. Ostrovsky P. M., Gornyi I. V., Mirlin A. D., Quantum Criticality and Minimal Conductivity in Graphene with Long-Range Disorder, 10.1103/physrevlett.98.256801
  11. Imura Ken-Ichiro, Kuramoto Yoshio, Nomura Kentaro, Weak localization properties of the dopedZ2topological insulator, 10.1103/physrevb.80.085119
  12. Lherbier Aurélien, Biel Blanca, Niquet Yann-Michel, Roche Stephan, Transport Length Scales in Disordered Graphene-Based Materials: Strong Localization Regimes and Dimensionality Effects, 10.1103/physrevlett.100.036803
  13. Krasheninnikov A. V., Banhart F., Engineering of nanostructured carbon materials with electron or ion beams, 10.1038/nmat1996
  14. Ma Jie, Alfè Dario, Michaelides Angelos, Wang Enge, Stone-Wales defects in graphene and other planarsp2-bonded materials, 10.1103/physrevb.80.033407
  15. Charlier Jean-Christophe, Blase Xavier, Roche Stephan, Electronic and transport properties of nanotubes, 10.1103/revmodphys.79.677
  16. Suenaga Kazu, Wakabayashi Hideaki, Koshino Masanori, Sato Yuta, Urita Koki, Iijima Sumio, Imaging active topological defects in carbon nanotubes, 10.1038/nnano.2007.141
  17. Lusk Mark T., Wu David T., Carr Lincoln D., Graphene nanoengineering and the inverse Stone-Thrower-Wales defect, 10.1103/physrevb.81.155444
  18. Cresti Alessandro, Nemec Norbert, Biel Blanca, Niebler Gabriel, Triozon François, Cuniberti Gianaurelio, Roche Stephan, Charge transport in disordered graphene-based low dimensional materials, 10.1007/s12274-008-8043-2
  19. Elias D. C., Nair R. R., Mohiuddin T. M. G., Morozov S. V., Blake P., Halsall M. P., Ferrari A. C., Boukhvalov D. W., Katsnelson M. I., Geim A. K., Novoselov K. S., Control of Graphene's Properties by Reversible Hydrogenation: Evidence for Graphane, 10.1126/science.1167130
  20. Withers F., Dubois M., Savchenko A. K., Electron properties of fluorinated single-layer graphene transistors, 10.1103/physrevb.82.073403
  21. Cheng S.-H., Zou K., Okino F., Gutierrez H. R., Gupta A., Shen N., Eklund P. C., Sofo J. O., Zhu J., Reversible fluorination of graphene: Evidence of a two-dimensional wide bandgap semiconductor, 10.1103/physrevb.81.205435
  22. Moser J., Tao H., Roche S., Alzina F., Sotomayor Torres C. M., Bachtold A., Magnetotransport in disordered graphene exposed to ozone: From weak to strong localization, 10.1103/physrevb.81.205445
  23. Leconte Nicolas, Moser Joël, Ordejón Pablo, Tao Haihua, Lherbier Aurélien, Bachtold Adrian, Alsina Francesc, Sotomayor Torres Clivia M., Charlier Jean-Christophe, Roche Stephan, Damaging Graphene with Ozone Treatment: A Chemically Tunable Metal−Insulator Transition, 10.1021/nn100537z
  24. Gómez-Navarro C., Pablo P. J. De, Gómez-Herrero J., Biel B., Garcia-Vidal F. J., Rubio A., Flores F., Tuning the conductance of single-walled carbon nanotubes by ion irradiation in the Anderson localization regime, 10.1038/nmat1414
  25. Biel Blanca, García-Vidal F. J., Rubio Angel, Flores Fernando, Anderson Localization in Carbon Nanotubes: Defect Density and Temperature Effects, 10.1103/physrevlett.95.266801
  26. Chen Jian-Hao, Cullen W. G., Jang C., Fuhrer M. S., Williams E. D., Defect Scattering in Graphene, 10.1103/physrevlett.102.236805
  27. Lee Gun-Do, Wang C. Z., Yoon Euijoon, Hwang Nong-Moon, Kim Doh-Yeon, Ho K. M., Diffusion, Coalescence, and Reconstruction of Vacancy Defects in Graphene Layers, 10.1103/physrevlett.95.205501
  28. Palacios J. J., Fernández-Rossier J., Brey L., Vacancy-induced magnetism in graphene and graphene ribbons, 10.1103/physrevb.77.195428
  29. Soler José M, Artacho Emilio, Gale Julian D, García Alberto, Junquera Javier, Ordejón Pablo, Sánchez-Portal Daniel, The SIESTA method forab initioorder-Nmaterials simulation, 10.1088/0953-8984/14/11/302
  30. Troullier N., Martins José Luriaas, Efficient pseudopotentials for plane-wave calculations, 10.1103/physrevb.43.1993
  31. Lenosky Thomas J., Kress Joel D., Kwon Inhee, Voter Arthur F., Edwards Byard, Richards David F., Yang Sang, Adams James B., Highly optimized tight-binding model of silicon, 10.1103/physrevb.55.1528
  32. Roche S., Mayou D., Conductivity of Quasiperiodic Systems: A Numerical Study, 10.1103/physrevlett.79.2518
  33. Lherbier Aurélien, Blase X., Niquet Yann-Michel, Triozon François, Roche Stephan, Charge Transport in Chemically Doped 2D Graphene, 10.1103/physrevlett.101.036808
  34. Ishii Hiroyuki, Triozon François, Kobayashi Nobuhiko, Hirose Kenji, Roche Stephan, Charge transport in carbon nanotubes based materials: a Kubo–Greenwood computational approach, 10.1016/j.crhy.2009.04.003
  35. Skrypnyk Yuriy V., Loktev Vadim M., Electrical conductivity in graphene with point defects, 10.1103/physrevb.82.085436
  36. Wehling T. O., Yuan S., Lichtenstein A. I., Geim A. K., Katsnelson M. I., Resonant Scattering by Realistic Impurities in Graphene, 10.1103/physrevlett.105.056802
  37. Shon Nguyen Hong, Ando Tsuneya, Quantum Transport in Two-Dimensional Graphite System, 10.1143/jpsj.67.2421
  38. Peres N. M. R., Guinea F., Castro Neto A. H., Electronic properties of disordered two-dimensional carbon, 10.1103/physrevb.73.125411
  39. Nomura Kentaro, MacDonald A. H., Quantum Transport of Massless Dirac Fermions, 10.1103/physrevlett.98.076602
  40. Müller Markus, Bräuninger Matthias, Trauzettel Björn, Temperature Dependence of the Conductivity of Ballistic Graphene, 10.1103/physrevlett.103.196801
  41. Tworzydło J., Trauzettel B., Titov M., Rycerz A., Beenakker C. W. J., Sub-Poissonian Shot Noise in Graphene, 10.1103/physrevlett.96.246802
  42. Golizadeh-Mojarad Roksana, Datta Supriyo, Effect of contact induced states on minimum conductivity in graphene, 10.1103/physrevb.79.085410
  43. Morozov S. V., Novoselov K. S., Katsnelson M. I., Schedin F., Elias D. C., Jaszczak J. A., Geim A. K., Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer, 10.1103/physrevlett.100.016602
  44. Ci Lijie, Song Li, Jin Chuanhong, Jariwala Deep, Wu Dangxin, Li Yongjie, Srivastava Anchal, Wang Z. F., Storr Kevin, Balicas Luis, Liu Feng, Ajayan Pulickel M., Atomic layers of hybridized boron nitride and graphene domains, 10.1038/nmat2711
Bibliographic reference Lherbier, Aurélien ; Dubois, Simon M-M ; Declerck, Xavier ; Roche, Stephan ; Niquet, Yann-Michel ; et. al. Two-Dimensional Graphene with Structural Defects: Elastic Mean Free Path, Minimum Conductivity, and Anderson Transition. In: Physical Review Letters, Vol. 106, no. 4, p. 046803 (2011)
Permanent URL http://hdl.handle.net/2078/89226