Magnetic field driven instability of a charged center in graphene

Physical Review B - Condensed Matter and Materials Physics

Volumn 83, Issue 23, 2011, Pages

  Gamayun, O V ^a   Gorbar, E V ^a   Gusynin, V P ^a  

^a BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961176476     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.235104     Document Type: Article

References (38)

1. A. V. Shytov, M. I. Katsnelson, and L. S. Levitov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.236801 99, 236801 (2007); (Pubitemid 350230774)
2. A. V. Shytov, M. I. Katsnelson, and L. S. Levitov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.246802 99, 246802 (2007). (Pubitemid 350276600)
3. V. M. Pereira, J. Nilsson, and A. H. Castro Neto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.166802 99, 166802 (2007). (Pubitemid 47587572)
4. D. S. Novikov, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76.245435 76, 245435 (2007).
5. I. S. Terekhov, A. I. Milstein, V. N. Kotov, and O. P. Sushkov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.076803 100, 076803 (2008). (Pubitemid 351393536)
6. W. Greiner, B. Muller, and J. Rafelski, Quantum Electrodynamics of Strong Fields (Springer-Verlag, Berlin, 1985).
7. Ya. B. Zeldovich and V. N. Popov, Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/PU1972v014n06ABEH004735 14, 673 (1972).
8. I. Ya. Pomeranchuk and Y. A. Smorodinsky, J. Phys. USSR 9, 97 (1945).
9. O. V. Gamayun, E. V. Gorbar, and V. P. Gusynin, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.80.165429 80, 165429 (2009).
10. J. Sabio, F. Sols, and F. Guinea, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.045428 81, 045428 (2010).
11. J. Wang, H. A. Fertig, and G. Murthy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.186401 104, 186401 (2010).
12. J. E. Drut and T. A. Lahde, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.026802 102, 026802 (2009);
13. J. E. Drut and T. A. Lahde, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79.165425 79, 165425 (2009);
14. J. E. Drut and T. A. Lahde, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79.241405 79, 241405 (R) (2009).
15. R. Dillenschneider and J. H. Han, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.78.045401 78, 045401 (2008);
16. R. Dillenschneider, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.78. 115417 78, 115417 (2008).
17. P. I. Fomin, V. P. Gusynin, V. A. Miransky, and Yu. A. Sitenko, Riv. Nuovo Cimento 6, N5, 1 (1983).
18. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3499 73, 3499 (1994);
19. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.52.4747 52, 4747 (1995);
20. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.52.4718 52, 4718 (1995).
21. D. V. Khveshchenko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.206401 87, 206401 (2001).
22. E. V. Gorbar, V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.66.045108 66, 045108 (2002).
23. V. P. Gusynin, V. A. Miransky, S. G. Sharapov, and I. A. Shovkovy, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.74.195429 74, 195429 (2006). (Pubitemid 44808170)
24. I. F. Herbut, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.75.165411 75, 165411 (2007);
25. I. F. Herbut, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76.085432 76, 085432 (2007).
26. J.-N. Fuchs and P. Lederer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.016803 98, 016803 (2007). (Pubitemid 46135106)
27. M. Ezawa, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.76.094701 76, 094701 (2007).
28. Ch.-L. Ho and V. R. Khalilov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.032104 61, 032104 (2000).
29. V. N. Oraevskii, A. I. Rex, and V. B. Semikoz, Sov. Phys. JETP 45, 428 (1977);
30. P. Schlutter, J. Phys. 18, 1685 (1985).
31. H. Bateman and A. Erdelyi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. I.
32. For the Dirac equation with radial potential well in 3 + 1 dimensions, see Ref.[29].
33. A. I. Milstein and I. S. Terekhov, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.125419 81, 125419 (2010).
34. P. K. Pyatkovskiy and V. P. Gusynin, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.075422 83, 075422 (2011).
35. T. M. Rusin and W. Zawadzki, J. Phys. A PLRAAN 1751-8113 10.1088/1751-8113/44/10/105201 44, 105201 (2011).
36. S. G. Sharapov, V. P. Gusynin, and H. Beck, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.69.075104 69, 075104 (2004).
37. A. I. Akhiezer and V. B. Berestetsky, Quantum Electrodynamics (Nauka, Moscow, 1969).
38. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1965).