Intrinsic ripples in graphene

Nature Materials

Volumn 6, Issue 11, 2007, Pages 858-861

  Fasolino, A ^a   Los, J H ^a   Katsnelson, M I ^a  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELECTRON TRANSPORT PROPERTIES; HARMONIC ANALYSIS; MONTE CARLO METHODS; THEOREM PROVING;

THERMAL FLUCTUATIONS; TWO-DIMENSIONAL (2D) LAYERS;

CRYSTAL STRUCTURE;

EID: 35748971728     PISSN: 14761122     EISSN: 14764660     Source Type: Journal    
DOI: 10.1038/nmat2011     Document Type: Article

References (27)

1. Mermin, N. D. Crystalline order in two dimensions. Phys. Rev. 176, 250-254 (1968).
2. Nelson, D. R., Piran, T. & Weinberg, S. (eds) Statistical Mechanics of Membranes and Surfaces (World Scientific, Singapore, 2004).
3. Nelson, D. R. & Peliti, L. Fluctuations in membranes with crystalline and hexatic order. J. Physique 48, 1085-1092 (1987).
4. Le Doussal, P. & Radzihovsky, L. Self-consistent theory of polymerized membranes. Phys. Rev. Lett. 69, 1209-1212 (1992).
5. Novoselov, K. S. et al. Two-dimensional atomic crystals. Proc. Natl Acad. Sci. USA 102, 10451-10453 (2005).
6. Novoselov, K. S. et al. Electric field effect in atomicallythin carbon films. Science 306, 666-669 (2004).
7. Meyer, J. C. et al. The structure of suspended graphene membrane. Nature 446, 60-63 (2007).
8. Novoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197-200 (2005).
9. Zhang, Y., Tan, J. W., Stormer, H. L. & Kim, P. Experimental observation of the quantum Hall effect and Berry's phase in graphene. Nature 438, 201-204 (2005).
10. Geim, A. K. & Novoselov, K. S. The rise of graphene. Nature Mater, 6, 183-191 (2007).
11. Katsnelson, M. I. Graphene: Carbon in two dimensions. Mater. Today 10, 20-27 (2007).
12. Los, J. H., Ghiringhelli, L. M., Meijer, E. J. & Fasolino, A. Improved long-range reactive bond-order potential for carbon. I. Construction. Phys. Rev. B 72, 214102 (2005).
13. Car, R. & Parrinello, M. Unified approach for molecular dynamics and density-functional theory. Phys. Rev. Lett. 55, 2471-2474 (1985).
14. Ghiringhelli, L. M., Los, J. H., Meijer, E. J., Fasolino, A. & Frenkel, D. Modeling the phase diagram of carbon. Phys. Rev. Lett. 94, 145701 (2005).
15. Chandler, D. Introduction to Modern Statistical Mechanics Chaps 3 and 6 (Oxford Univ. Press, New York, 1987).
16. Carlsson, J. M. & Scheffler, M. Structural, electronic, and chemical properties of nanoporous carbon. Phys. Rev. Lett. 96, 046806 (2006).
17. Bowick, M. J. in Statistical Mechanics of Membranes and Surfaces (eds Nelson, D. R., Piran, T. & Weinberg, S.) Ch. 11 (World Scientific, Singapore, 2004).
18. Abramovitz, F. F. & Nelson, D. R. Diffraction from polymerized membranes. Science 249, 393 (1990).
19. Niclow, R., Wakabayashi, N. & Smith, H. G. Lattice dynamics of pyrolytic graphite. Phys. Rev. B 5, 4951-4962 (1972).
20. Tarjus, G., Kivelson, S. A., Nussinov, Z. & Viot, P. The frustrated-based approach of supercooled liquids and the glass transition: A review and critical assessment. J. Phys. Condens. Matter 17, R1143-R1182 (2005).
21. Katsnelson, M. I. & Fasolino, A. Solvent-driven formation of bolaamphiphilic vesicles. J. Phys. Chem. B 110, 30-32 (2006).
22. Manyuhina, O. V. et al. Anharmonic magnetic deformation of self-assembled molecular nanocapsules. Phys. Rev. Lett. 98, 146101 (2007).
23. Lubensky, T. C. & MacKintosh, F. C. Theory of "rippled" phases of liquid bilayers. Phys. Rev. Lett. 71, 1565-1568 (1993).
24. Mounet, N. & Marzari, N. First-principles determination of the structural, vibrational and thermodynamic properties of diamond, graphite, and derivatives. Phys. Rev. B 71, 205214 (2005).
25. Morozov, S. V. et al. Strong suppression of weak localization in graphene. Phys. Rev. Lett. 97, 016801 (2006).
26. Castro Neto, A. H. & Kim, E. A. Charge inhomogeneity and the structure of graphene sheets. Preprint at 〈http://arxiv.org/cond-mat/ 0702562〉 (2007).
27. Geim, A. K. & Katsnelson, M. I. Electronic scattering on microscopic corrugations in graphene. Phil. Trans. R. Soc. A (in the press); preprint at 〈http://arxiv.org/arXiv:0706.2490〉 (2007).