Coulomb drag in graphene: Perturbation theory

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 19, 2012, Pages

  Narozhny, B N ^a   Titov, M ^a,b,e   Gornyi, I V ^a,c   Ostrovsky, P M ^a,d,f  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^b HERIOT WATT UNIVERSITY   (United Kingdom)

^c IOFFE INSTITUTE   (Russian Federation)

^d LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^e RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^f MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84861113337     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.195421     Document Type: Article

References (51)

1. B. L. Altshuler and A. G. Aronov, in Electron-Electron Interactions in Disordered Systems, edietd by, A. L. Efros, and, M. Pollak, (North-Holland, Amsterdam, 1985).
2. A. G. Rojo, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/5/004 11, R31 (1999).
3. A. Kamenev and Y. Oreg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.7516 52, 7516 (1995).
4. K. Flensberg, Ben Yu-Kuang Hu, A.-P. Jauho, and J. M. Kinaret, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.14761 52, 14761 (1995).
5. B. N. Narozhny, I. L. Aleiner, and A. Stern, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3610 86, 3610 (2001); (Pubitemid 32416188)
6. F. von Oppen, S. H. Simon, and A. Stern, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.106803 87, 106803 (2001).
7. I. V. Gornyi, A. D. Mirlin, and F. von Oppen (unpublished).
8. A.-P. Jauho and H. Smith, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.47.4420 47, 4420 (1993).
9. K. Flensberg and Ben Yu-Kuang Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3572 73, 3572 (1994);
10. K. Flensberg and Ben Yu-Kuang Hu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.14796 52, 14796 (1995).
11. S. Kim, I. Jo, J. Nah, Z. Yao, S. K. Banerjee, and E. Tutuc, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.161401 83, 161401 (R) (2011).
12. A. K. Geim, K. S. Novoselov, and L. Ponomarenko (private communication).
13. P. M. Solomon, P. J. Price, D. J. Frank, and D. C. La Tulipe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.2508 63, 2508 (1989);
14. T. J. Gramila, J. P. Eisenstein, A. H. MacDonald, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.1216 66, 1216 (1991).
15. A. B. Kashuba, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.085415 78, 085415 (2008).
16. L. Fritz, J. Schmalian, M. Müller, and S. Sachdev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.085416 78, 085416 (2008);
17. M. Müller, J. Schmalian, and L. Fritz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.025301 103, 025301 (2009).
18. M. S. Foster and I. L. Aleiner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.085415 79, 085415 (2009).
19. M. Schütt, P. M. Ostrovsky, I. V. Gornyi, and A. D. Mirlin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.155441 83, 155441 (2011).
20. M. Schütt, P. M. Ostrovsky, I. V. Gornyi, M. Titov, B. N. Narozhny, and A. D. Mirlin (unpublished).
21. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of quantum field theory in statistical physics (Prentice-Hall, Englewood Cliffs, NJ, 1963).
22. B. N. Narozhny, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.153409 76, 153409 (2007).
23. W. K. Tse, Ben Yu-Kuang Hu, and S. Das Sarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.081401 76, 081401 (2007).
24. N. M. R. Peres, J. M. B. Lopes dos Santos, and A. H. Castro Neto, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/95/18001 95, 18001 (2011).
25. For a detailed overview of the existing literature on the Coulomb drag in graphene, see M. Carrega, T. Tudorovskiy, A. Principi, M. I. Katsnelson, and M. Polini, e-print arXiv: 1203.3386.
26. A. Stern and B. I. Halperin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.5890 52, 5890 (1995).
27. I. V. Gornyi, A. D. Mirlin, and F. von Oppen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.245302 70, 245302 (2004). (Pubitemid 40362454)
28. E. McCann, K. Kechedzhi, V. I. Falko, H. Suzuura, T. Ando, and B. L. Altshuler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.146805 97, 146805 (2006). (Pubitemid 44522385)
29. M. I. Katsnelson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84. 041407 84, 041407 (2011).
30. T. Ando, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.75.074716 75, 074716 (2006);
31. K. Nomura and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.256602 96, 256602 (2006); (Pubitemid 43974586)
32. K. Nomura and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.076602 98, 076602 (2007).
33. V. V. Cheianov and V. I. Falko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.226801 97, 226801 (2006). (Pubitemid 44826903)
34. P. M. Ostrovsky, I. V. Gornyi, and A. D. Mirlin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.235443 74, 235443 (2006).
35. N. H. Shon and T. Ando, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.67.2421 67, 2421 (1998).
36. I. L. Aleiner and K. B. Efetov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.236801 97, 236801 (2006). (Pubitemid 44866621)
37. K. Kechedzhi, O. Kashuba, and V. I. Falko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.193403 77, 193403 (2008).
38. G. Zala, B. N. Narozhny, and I. L. Aleiner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.64.214204 64, 214204 (2001).
39. A. A. Abrikosov and S. D. Beneslavskii, Zh. Eksp. Teor. Fiz. 59, 1280 (1970)
40. A. A. Abrikosov and S. D. Beneslavskii, [Sov. Phys. JETP 32, 699 (1971)];
41. J. Gonzalez, F. Guinea, and M. A. H. Vozmediano, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.R2474 59, R2474 (1999);
42. D. T. Son, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.235423 75, 235423 (2007).
43. J. Gonzalez, F. Guinea, and M. A. H. Vozmediano, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(94)90410-3 424, 596 (1994).
44. D. E. Sheehy and J. Schmalian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.226803 99, 226803 (2007). (Pubitemid 350198425)
45. M. S. Foster and I. L. Aleiner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.195413 77, 195413 (2008).
46. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Nature (London) NATUAS 0028-0836 10.1038/nature04233 438, 197 (2005). (Pubitemid 41599867)
47. Y. Zheng and T. Ando, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65. 245420 65, 245420 (2002).
48. A. A. Kozikov, A. K. Savchenko, B. N. Narozhny, and A. V. Shytov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.075424 82, 075424 (2010).
49. J. P. Reed, B. Uchoa, Y. I. Joe, Y. Gan, D. Casa, E. Fradkin, and P. Abbamonte, Science SCIEAS 0036-8075 10.1126/science.1190920 330, 805 (2010).
50. T. Ando, T. Nakanishi, and R. Saito, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.67.2857 67, 2857 (1998).
51. O. Vafek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.216401 98, 216401 (2007). (Pubitemid 47139649)