Finite temperature lattice properties of graphene beyond the quasiharmonic approximation

Physical Review Letters

Volumn 102, Issue 4, 2009, Pages

  Zakharchenko, K V ^a   Katsnelson, M I ^a   Fasolino, A ^a  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

MECHANICAL STABILITY; MONTE CARLO METHODS; POISSON RATIO;

ELASTIC PROPERTIES; FINITE TEMPERATURES; GRAPHENE; HEAT CAPACITIES; LATTICE PARAMETERS; MONTE CARLO SIMULATIONS; NONMONOTONIC; POTENTIAL APPLICATIONS; SHEAR MODULUS; TEMPERATURE DEPENDENCES; TEMPERATURE INTERVALS;

LATTICE CONSTANTS;

EID: 60449115842     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.102.046808     Document Type: Article

References (36)

1. Statistical Mechanics of Membranes and Surfaces, edited by, D.R. Nelson, T. Piran, and, S. Weinberg, (World Scientific, Singapore, 2004), Chaps.
2. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, and A.A. Firsov, Science 306, 666 (2004). SCIEAS 0036-8075 10.1126/science.1102896
3. A.K. Geim and K.S. Novoselov, Nature Mater. NMAACR 1476-1122 6, 183 (2007). 10.1038/nmat1849
4. M.I. Katsnelson, Mater. Today 10, 20 (2007). MATOBY 0096-4867 10.1016/S1369-7021(06)71788-6
5. A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, and A.K. Geim, arXiv:0709.1163 [Rev. Mod. Phy. (to be published)].
6. Jannik C. Meyer, A.K. Geim, M.I. Katsnelson, K.S. Novoselov, T.J. Booth, and S. Roth, Nature (London) 446, 60 (2007). NATUAS 0028-0836 10.1038/nature05545
7. A. Fasolino, J.H. Los, and M.I. Katsnelson, Nature Mater. NMAACR 1476-1122 6, 858 (2007). 10.1038/nmat2011
8. Eun-Ah Kim and A.H. Castro Neto, Europhys. Lett. 84, 57007 (2008). EULEEJ 0295-5075 10.1209/0295-5075/84/57007
9. M.I. Katsnelson and A.K. Geim, Phil. Trans. R. Soc. A 366, 195 (2008). PTRMAD 1364-503X 10.1098/rsta.2007.2157
10. J. Scott Bunch, Arend M. van der Zande, Scott S. Verbridge, Ian W. Frank, David M. Tanenbaum, Jeevak M. Parpia, Harold G. Craighead, and Paul L. McEuen, Science 315, 490 (2007). SCIEAS 0036-8075 10.1126/science.1136836
11. Changgu Lee, Xiaoding Wei, Jeffrey W. Kysar, and James Hone, Science 321, 385 (2008). SCIEAS 0036-8075 10.1126/science.1157996
12. Tim J. Booth, Peter Blake, Rahul R. Nair, Da Jiang, Ernie W. Hill, Ursel Bangert, Andrew Bleloch, Mhairi Gass, Kostya S. Novoselov, M.I. Katsnelson, and A.K. Geim, Nano Lett. NALEFD 1530-6984 8, 2442 (2008). 10.1021/nl801412y
13. R.A. Cowley, Adv. Phys. 12, 421 (1963). ADPHAH 0001-8732 10.1080/00018736300101333
14. Y. Chen, K.M. Ho, and B.N. Harmon, Phys. Rev. B PRBMDO 0163-1829 37, 283 (1988). 10.1103/PhysRevB.37.283
15. P. Souvatzis, O. Eriksson, M.I. Katsnelson, and S.P. Rudin, Phys. Rev. Lett. 100, 095901 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.095901
16. R. Blinc and B. Zeks, Ferroelectrics and Antiferroelectrics. Lattice Dynamics (North-Holland, Amsterdam, 1984).
17. A.M. Bratkovskii, V.G. Vaks, and A.V. Trefilov, J. Exp. Theor. Phys. 59, 1245 (1984). JTPHES 1063-7761
18. V.G. Vaks, S.P. Kravchuk, and A.V. Trefilov, J. Phys. F 10, 2105 (1980); JPFMAT 0305-4608 10.1088/0305-4608/10/10/009
19. V.G. Vaks S.P. Kravchuk A.V. Trefilov J. Phys. F 10, 2375 (1980). JPFMAT 0305-4608 10.1088/0305-4608/10/11/010
20. M. Zoli, Phys. Rev. B PRBMDO 0163-1829 41, 7497 (1990). 10.1103/PhysRevB.41.7497
21. M.I. Katsnelson, A.V. Trefilov, M.N. Khlopkin, and K.Yu. Khromov, Philos. Mag. B PMABDJ 0958-6644 81, 1893 (2001);
22. M.I. Katsnelson, A.F. Maksyutov, and A.V. Trefilov, Phys. Lett. A 295, 50 (2002). PYLAAG 0375-9601 10.1016/S0375-9601(02)00126-3
23. L.M. Ghiringhelli, J.H. Los, E.J. Meijer, A. Fasolino, and D. Frenkel, Phys. Rev. Lett. 94, 145701 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94. 145701
24. J.H. Los, L.M. Ghiringhelli, E.J. Meijer, and A. Fasolino, Phys. Rev. B PRBMDO 1098-0121 72, 214102 (2005). 10.1103/PhysRevB.72.214102
25. Nicolas Mounet and Nicola Marzari, Phys. Rev. B PRBMDO 1098-0121 71, 205214 (2005). 10.1103/PhysRevB.71.205214
26. M. Lifshitz, Zh. Eksp. Teor. Fiz. 22, 475 (1952). ZETFA7 0044-4510
27. F. Lindemann, Phys. Z. PHZTAO 0369-982X 11, 609 (1910);
28. V.M. Bedanov and G.V. Gadiyak, Phys. Lett. 109A, 289 (1985); PYLAAG 0375-9601 10.1016/0375-9601(85)90617-6
29. X.H. Zheng and J.C. Earnshaw, Europhys. Lett. 41, 635 (1998); EULEEJ 0295-5075 10.1209/epl/i1998-00205-7
30. K. Zahn, R. Lenke, and G. Maret, Phys. Rev. Lett. 82, 2721 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.82.2721
31. K. Zahn and G. Maret, Phys. Rev. Lett. 85, 3656 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.3656
32. D.R. Nelson and B.I. Halperin, Phys. Rev. B PRBMDO 0163-1829 19, 2457 (1979). 10.1103/PhysRevB.19.2457
33. L.D. Landau and E.M. Lifshitz, Theory of Elasticity, Course of Theoretical Physics Vol. 7 (Pergamon, New York, 1959).
34. P.M. Chaikin and T.C. Lubetsky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, England, 2003), p. 338.
35. J.M. Carlsson and M. Scheffler, Phys. Rev. Lett. 96, 046806 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.046806
36. A. Carpio, L.L. Bonilla, F. de Juan, and M.A.H. Vozmediano, New J. Phys. 10, 053021 (2008). NJOPFM 1367-2630 10.1088/1367-2630/10/5/053021