Hydrodynamic model for conductivity in graphene

Scientific Reports

Volumn 3, Issue , 2013, Pages

  Mendoza, M ^a   Herrmann, H J ^a   Succi, S ^b,c  

^a ETH ZURICH   (Switzerland)

^b CNR   (Italy)

^c UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84872733367     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep01052     Document Type: Article

References (34)

1. Novoselov, K. et al. Two-dimensional gas of massless dirac fermions in graphene. Nature Letters 438, 197 (2005).
2. Novoselov, K. S. et al. Electric Field Effect in Atomically Thin Carbon Films. Science 306, 666-669 (2004). (Pubitemid 39440910)
3. Müller, M., Schmalian, J. & Fritz, L. Graphene: A nearly perfect fluid. Phys. Rev. Lett. 103, 025301 (2009).
4. Lee, C.,Wei, X., Kysar, J. W. & Hone, J. Measurement of the elastic properties and intrinsic strength of monolayer graphene. Science 321, 385-388 (2008). (Pubitemid 352029970)
5. Kuzmenko, A. B., van Heumen, E., Carbone, F. & van der Marel, D. Universal optical conductance of graphite. Phys. Rev. Lett. 100, 117401 (2008).
6. Geim, A. K. & MacDonald, A. H. Graphene: Exploring carbon flatland. Phys. Today 35 (2007).
7. Müller, M. & Sachdev, S. Collective cyclotron motion of the relativistic plasma in graphene. Phys. Rev. B 78, 115419 (2008).
8. Shuryak, E. Why does the quark-gluon plasma at rhic behave as a nearly ideal fluid? Progress in Particle and Nuclear Physics 53, 273-303 (2004).
9. Mendoza, M., Herrmann, H. J. & Succi, S. Preturbulent regimes in graphene flow. Phys. Rev. Lett. 106, 156601 (2011).
10. Das Sarma S.,Adam S. Hwang E.H., Rossi E.
11. Das Sarma, S., Adam, S., Hwang, E. H. & Rossi, E. Electronic transport in twodimensional graphene. Rev. Mod. Phys. 83, 407-470 (2011). 11.Monteverde, M. et al. Transport and elastic scattering times as probes of the nature of impurity scattering in single-layer and bilayer graphene. Phys. Rev. Lett. 104, 126801 (2010).
12. Shon, N. H. & Ando, T. Quantum transport in two-dimensional graphite system. Journal of the Physical Society of Japan 67, 2421-2429 (1998).
13. Hwang, E. H., Adam, S. & Das Sarma, S. Carrier transport in two-dimensional graphene layers. Phys. Rev. Lett. 98, 186806 (2007).
14. Nomura, K. &MacDonald, A. H. Quantum transport of massless dirac fermions. Phys. Rev. Lett. 98, 076602 (2007).
15. Jang, C. et al. Tuning the effective fine structure constant in graphene: Opposing effects of dielectric screening on short-and long-range potential scattering. Phys. Rev. Lett. 101, 146805 (2008).
16. Ponomarenko, L. A. et al. Effect of a high-k environment on charge carrier mobility in graphene. Phys. Rev. Lett. 102, 206603 (2009).
17. Fritz, L., Schmalian, J.,M̈ uller, M. & Sachdev, S. Quantum critical transport in clean graphene. Phys. Rev. B 78, 085416 (2008).
18. Müller, M., Fritz, L. & Sachdev, S. Quantum-critical relativistic magnetotransport in graphene. Phys. Rev. B 78, 115406 (2008).
19. Bao, W. S., Liu, S. Y., Lei, X. L. &Wang, C. M. Nonlinear dc transport in graphene. Journal of Physics: Condensed Matter 21, 305302 (2009).
20. Mendoza, M., Araújo, N. A. M., Succi, S. & Herrmann, H. J. Transition in the equilibrium distribution function of relativistic particles. Sci. Rep. 2, 611 (2012).
21. Oseen, C.Ü ber die stokes'sche formel, und über eine verwandte aufgabe in der hydrodynamik. Arkiv för matematik, astronomi och fysik vi (1910).
22. Adam, S., Hwang, E. H., Galitski, V. M. & Das Sarma, S. A self-consistent theory for graphene transport. Proceedings of the National Academy of Sciences 104, 18392-18397 (2007). (Pubitemid 350210707)
23. Chen, J.-H. et al. Charged-impurity scattering in graphene. Nat. Phys. Lett. 4, 377-381 (2008).
24. Rumer, R. & Drinker, P. Resistance to laminar flow through porous media. Proc. Am. Soc. Civil Eng., J. Hydraulic Div. 92, 155 (1966).
25. Bear, J. Dynamics of Fluids in Porous Media (American Elsevier Publising Company, 1972).
26. Zhang, Y., Tan, Y.-W., Stormer, H. L. & Kim, P. Experimental observation of the quantum hall effect and berry's phase in graphene. Nature 438, 201-204 (2005). (Pubitemid 41599868)
27. Ando, T. Screening effect and impurity scattering inmonolayer graphene. Journal of the Physical Society of Japan 75, 074716 (2006).
28. Cheianov, V. V. & Fal'ko, V. I. Friedel oscillations, impurity scattering, and temperature dependence of resistivity in graphene. Phys. Rev. Lett. 97, 226801 (2006).
29. Trushin, M. & Schliemann, J. Minimum electrical and thermal conductivity of graphene: A quasiclassical approach. Phys. Rev. Lett. 99, 216602 (2007).
30. Yan, X.-Z., Romiah, Y. & Ting, C. S. Electric transport theory of dirac fermions in graphene. Phys. Rev. B 77, 125409 (2008).
31. Tan, Y.-W. et al. Measurement of scattering rate and minimum conductivity in graphene. Phys. Rev. Lett. 99, 246803 (2007).
32. Mendoza, M., Boghosian, B.M., Herrmann, H. J.&Succi, S. Fast lattice boltzmann solver for relativistic hydrodynamics. Phys. Rev. Lett. 105, 014502 (2010).
33. Mendoza, M., Boghosian, B. M., Herrmann, H. J. & Succi, S. Derivation of the lattice boltzmann model for relativistic hydrodynamics. Phys. Rev. D 82, 105008 (2010).
34. Hupp, D.,Mendoza, M., Bouras, I., Succi, S. & Herrmann, H. J. Relativistic lattice boltzmann method for quark-gluon plasma simulations. Phys. Rev. D 84, 125015 (2011).