Renormalization group approach to chiral symmetry breaking in graphene

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 15, 2010, Pages

  Gonzalez J ^a  

^a INSTITUTO DE ESTRUCTURA DE LA MATERIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78149254091     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.155404     Document Type: Article

References (29)

1. 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) 438, 197 (2005). 10.1038/nature04233
2. Y. Zhang, Y.-W. Tan, H. L. Stormer, and P. Kim, Nature (London) 438, 201 (2005). 10.1038/nature04235
3. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009). 10.1103/RevModPhys.81.109
4. V. M. Pereira, J. Nilsson, and A. H. Castro Neto, Phys. Rev. Lett. 99, 166802 (2007). 10.1103/PhysRevLett.99.166802
5. M. M. Fogler, D. S. Novikov, and B. I. Shklovskii, Phys. Rev. B 76, 233402 (2007). 10.1103/PhysRevB.76.233402
6. A. V. Shytov, M. I. Katsnelson, and L. S. Levitov, Phys. Rev. Lett. 99, 236801 (2007). 10.1103/PhysRevLett.99.236801
7. V. M. Pereira, V. N. Kotov, and A. H. Castro Neto, Phys. Rev. B 78, 085101 (2008). 10.1103/PhysRevB.78.085101
8. I. S. Terekhov, A. I. Milstein, V. N. Kotov, and O. P. Sushkov, Phys. Rev. Lett. 100, 076803 (2008). 10.1103/PhysRevLett.100.076803
9. J. González, F. Guinea, and M. A. H. Vozmediano, Nucl. Phys. B 424, 595 (1994). 10.1016/0550-3213(94)90410-3
10. J. González, F. Guinea, and M. A. H. Vozmediano, Phys. Rev. B 59, R2474 (1999). 10.1103/PhysRevB.59.R2474
11. J. González, F. Guinea, and M. A. H. Vozmediano, Phys. Rev. Lett. 77, 3589 (1996). 10.1103/PhysRevLett.77.3589
12. S. Xu, J. Cao, C. C. Miller, D. A. Mantell, R. J. D. Miller, and Y. Gao, Phys. Rev. Lett. 76, 483 (1996). 10.1103/PhysRevLett.76.483
13. T. Appelquist, D. Nash, and L. C. R. Wijewardhana, Phys. Rev. Lett. 60, 2575 (1988). 10.1103/PhysRevLett.60.2575
14. D. V. Khveshchenko, Phys. Rev. Lett. 87, 246802 (2001). 10.1103/PhysRevLett.87.246802
15. E. V. Gorbar, V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. B 66, 045108 (2002). 10.1103/PhysRevB.66.045108
16. I. L. Aleiner, D. E. Kharzeev, and A. M. Tsvelik, Phys. Rev. B 76, 195415 (2007). 10.1103/PhysRevB.76.195415
17. J. E. Drut and D. T. Son, Phys. Rev. B 77, 075115 (2008). 10.1103/PhysRevB.77.075115
18. I. F. Herbut, V. Juričić, and O. Vafek, Phys. Rev. B 80, 075432 (2009). 10.1103/PhysRevB.80.075432
19. V. Juričić, I. F. Herbut, and G. W. Semenoff, Phys. Rev. B 80, 081405 (R) (2009). 10.1103/PhysRevB.80.081405
20. J. E. Drut and T. A. Lähde, Phys. Rev. Lett. 102, 026802 (2009). 10.1103/PhysRevLett.102.026802
21. J. E. Drut and T. A. Lähde, Phys. Rev. B 79, 165425 (2009) 10.1103/PhysRevB.79.165425
22. J. E. Drut and T. A. Lähde, Phys. Rev. B 79, 241405 (R) (2009). 10.1103/PhysRevB.79.241405
23. S. J. Hands and C. G. Strouthos, Phys. Rev. B 78, 165423 (2008). 10.1103/PhysRevB.78.165423
24. W. Armour, S. Hands, and C. Strouthos, Phys. Rev. B 81, 125105 (2010). 10.1103/PhysRevB.81.125105
25. D. J. Amit and V. Martín-Mayor, Field Theory, the Renormalization Group, and Critical Phenomena (World Scientific, Singapore, 2005), Chaps..
26. S. Gangadharaiah, A. M. Farid, and E. G. Mishchenko, Phys. Rev. Lett. 100, 166802 (2008). 10.1103/PhysRevLett.100.166802
27. J. Wang, H. A. Fertig, and G. Murthy, Phys. Rev. Lett. 104, 186401 (2010). 10.1103/PhysRevLett.104.186401
28. P. Ramond, Field Theory: A Modern Primer (Benjamin/Cummings, Reading, 1981), Chap..
29. We note that the study in Ref. has also found evidence of a critical point in the ladder approximation, which in that case corresponds, in general, to the transition from real to complex behavior of the Π susceptibility.