Quantum electrodynamics with anisotropic scaling: Heisenberg-Euler action and Schwinger pair production in the bilayer graphene

JETP Letters

Volumn 95, Issue 8, 2012, Pages 411-415

  Katsnelson, M I ^a   Volovik, G E ^b,c  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^b AALTO UNIVERSITY   (Finland)

^c LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84863110414     PISSN: 00213640     EISSN: 10906487     Source Type: Journal    
DOI: 10.1134/S0021364012080061     Document Type: Article

References (28)

1. G. E. Volovik, The Universe in a Helium Droplet (Clarendon, Oxford, 2003).
2. A. H. Castro Neto, F. Guinea, N. M. R. Peres, et al., Rev. Mod. Phys. 81, 109 (2009).
3. M. A. H. Vozmediano, M. I. Katsnelson, and F. Guinea, Phys. Rep. 496, 109 (2010).
4. M. I. Katsnelson, Graphene: Carbon in Two Dimensions (Cambridge Univ. Press, Cambridge, 2012).
5. G. E. Volovik, draft for Chapter in Proceedings of the Como Summer School on Analogue Gravity, arXiv: 1111. 4627.
6. W. Heisenberg and H. Euler, Z. Phys. 98, 714 (1936).
7. J. Schwinger, Phys. Rev. 82, 664 (1951).
8. 3He (World Scientific, Singapore, 1992).
9. N. Schopohl and G. E. Volovik, Ann. Phys. (N. Y.) 215, 372 (1992).
10. A. A. Abrikosov and S. D. Beneslavskii, Sov. Phys. JETP 32, 699 (1971).
11. H. B. Nielsen and M. Ninomiya, Phys. Lett. B 130, 389 (1983).
12. A. A. Abrikosov, Phys. Rev. B 58, 2788 (1998).
13. X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, Phys. Rev. B 83, 205101 (2011).
14. A. A. Burkov and L. Balents, Phys. Rev. Lett. 107, 127205 (2011).
15. V. Aji, arXiv: 1108. 4426.
16. T. D. C. Bevan, A. J. Manninen, J. B. Cook, et al., Nature 386, 689 (1997).
17. P. Hořava, Phys. Rev. Lett. 102, 161301 (2009).
18. P. Hořava, Phys. Rev. D 79, 084008 (2009).
19. P. Hořava, J. High Energy Phys. 0903, 020 (2009).
20. C. Xu and P. Hořava, Phys. Rev. D 81, 104033 (2010).
21. S. A. Safran, Phys. Rev. B 30, 421 (1984).
22. M. Koshino and T. Ando, Phys. Rev. B 76, 085425 (2007).
23. A. S. Mayorov, D. C. Elias, M. Mucha-Kruczynski, et al., Science 333, 860 (2011).
24. J. O. Andersen and T. Haugset, Phys. Rev. D 51, 3073 (1995).
25. O. Andreev, Int. J. Mod. Phys. A 25, 2087 (2010); arXiv: 0910. 1613.
26. D. Allor, T. D. Cohen, and D. A. McGady, Phys. Rev. D 78, 096009 (2008).
27. N. M. Vildanov, J. Phys.: Condens. Matter 21, 445802 (2009).
28. M. A. Zubkov, Pis'ma Zh. Eksp. Teor. Fiz. 95, 540 (2012).