Self-heating and nonlinear current-voltage characteristics in bilayer graphene

Physical Review B - Condensed Matter and Materials Physics

Volumn 83, Issue 20, 2011, Pages

  Viljas, J K ^a   Fay, A ^a   Wiesner, M ^a,b   Hakonen, P J ^a  

^a AALTO UNIVERSITY   (Finland)

^b ADAM MICKIEWICZ UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961119026     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.205421     Document Type: Article

References (39)

1. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.109 81, 109 (2009).
2. S. Das Sarma, S. Adam, E. H. Hwang, and E. Rossi, e-print arXiv: 1003.4731 (to be published).
3. S. Adam, E. H. Hwang, V. M. Galitski, and S. D. Sarma, Proc. Nat. Acad. Sci. PNASA6 0027-8424 10.1073/pnas.0704772104 104, 18392 (2007). (Pubitemid 350210707)
4. S. V. Morozov, K. S. Novoselov, M. I. Katsnelson, F. Schedin, D. C. Elias, J. A. Jaszczak, and A. K. Geim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.016602 100, 016602 (2008). (Pubitemid 351388329)
5. S. Adam and S. Das Sarma, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.77.115436 77, 115436 (2008).
6. S. Xiao, J.-H. Chen, S. Adam, E. D. Williams, and M. S. Fuhrer, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.82.041406 82, 041406 (2010).
7. S. Adam and M. D. Stiles, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.82.075423 82, 075423 (2010).
8. S. Das Sarma, E. H. Hwang, and E. Rossi, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.81.161407 81, 161407 (2010).
9. I. Meric, M. Y. Han, A. F. Young, B. Ozyilmaz, P. Kim, and K. L. Shepard, Nature Nanotechnol. PRLTAO 1748-3387 10.1038/nnano.2008.268 3, 654 (2008).
10. A. Barreiro, M. Lazzeri, J. Moser, F. Mauri, and A. Bachtold, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.076601 103, 076601 (2009).
11. N. Vandecasteele, A. Barreiro, M. Lazzeri, A. Bachtold, and F. Mauri, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.82.045416 82, 045416 (2010).
12. B. Huard, N. Stander, J. A. Sulpizio, and D. Goldhaber-Gordon, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.78.121402 78, 121402 (2008).
13. S. Barraza-Lopez, M. Vanević, M. Kindermann, and M. Y. Chou, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.076807 104, 076807 (2010).
14. P. A. Khomyakov, A. A. Starikov, G. Brocks, and P. J. Kelly, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.82.115437 82, 115437 (2010).
15. E. J. H. Lee, K. Balasubramanian, R. T. Weitz, M. Burghard, and K. Kern, Nature Nanotechnol. 1748-3387 10.1038/nnano.2008.172 3, 486 (2008).
16. T. Mueller, F. Xia, M. Freitag, J. Tsang, and Ph. Avouris, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.79.245430 79, 245430 (2009).
17. J. K. Viljas and T. T. Heikkilä, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.81.245404 81, 245404 (2010).
18. Note that the results in Figs. 3(c) and 3(d) of this reference are too large by factor of four-this has no essential effect on the other results.
19. J. Martin, N. Akerman, G. Ulbricht, T. Lohmann, J. H. Smet, K. von Klitzing, and A. Yacoby, Nature Phys. PRLTAO 1745-2473 10.1038/nphys781 4, 144 (2008).
20. A. Deshpande, W. Bao, Z. Zhao, C. N. Lau, and B. J. LeRoy, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3275755 95, 243502 (2009).
21. 2 substrate we may use Ω=59 meV and then q(op)-1 mW/μm2, which appears to be of the right order for reducing the slope of σ(V). However, such a procedure cools long samples more effectively, making σ(V) length dependent. For a proper description, the heating of the phonons and the modification of the transport coefficients should be accounted for.
22. V. B. Shikin, Phys. Rev. B APPLAB 1098-0121 10.1103/PhysRevB.64.245335 64, 245335 (2001).
23. A. C. Ferrari, J. C. Meyer, V. Scardaci, C. Casiraghi, M. Lazzeri, F. Mauri, S. Piscanec, D. Jiang, K. S. Novoselov, S. Roth, and A. K. Geim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.187401 97, 187401 (2006). (Pubitemid 44658281)
24. A. K. Geim and K. S. Novoselov, Nature Mater. 1476-1122 10.1038/nmat1849 6, 183 (2007). (Pubitemid 46353764)
25. imp, which is another unknown parameter that can vary between the samples.
26. A. Fay, J. K. Viljas, R. Danneau, F. Wu, M. Y. Tomi, J. Wengler, M. Wiesner, and P. J. Hakonen, e-print arXiv: 0904.4446.
27. Y. M. Blanter and I. Martin, Phys. Rev. B 1098-0121 10.1103/PhysRevB.76. 155433 76, 155433 (2007).
28. E. B. Sonin, Phys. Rev. B 1098-0121 10.1103/PhysRevB.77.233408 77, 233408 (2008).
29. B. Dóra and R. Moessner, Phys. Rev. B 1098-0121 10.1103/PhysRevB.81.165431 81, 165431 (2010).
30. B. Rosenstein, M. Lewkowicz, H. C. Kao, and Y. Korniyenko, Phys. Rev. B 1098-0121 10.1103/PhysRevB.81.041416 81, 041416 (2010).
31. H. M. Wang, Z. Zheng, Y. Y. Wang, J. J. Qiu, Z. B. Guo, Z. X. Shen, and T. Yu, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3291110 96, 023106 (2010).
32. Y.-B. Zhou, B.-H. Han, Z.-M. Liao, Q. Zhao, J. Xu, and D.-P. Yu, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3292029 132, 024706 (2010).
33. D. Joung, A. Chunder, L. Zhai, and S. I. Khondaker, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3484956 97, 093105 (2010).
34. R. Bistritzer and A. H. MacDonald, Phys. Rev. B APPLAB 1098-0121 10.1103/PhysRevB.81.245412 81, 245412 (2010).
35. O. G. Balev and F. T. Vasko, J. Appl. Phys. 0021-8979 10.1063/1.3431353 107, 124312 (2010).
36. M.-H. Bae, Z.-Y. Ong, D. Estrada, and E. Pop, Nano Lett. 1530-6984 10.1021/nl1011596 10, 4787 (2010).
37. NIST Handbook of Mathematical Functions, edited by, F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and, C. W. Clark, (National Institute of Standards and Technology, and Cambridge University Press, Cambridge, 2010).
38. V. V. Cheianov and V. I. Fal'ko, Phys. Rev. B APPLAB 1098-0121 10.1103/PhysRevB.74.041403 74, 041403 (2006). (Pubitemid 44079267)
39. E. B. Sonin, Phys. Rev. B APPLAB 1098-0121 10.1103/PhysRevB.79.195438 79, 195438 (2009).