Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 27, 2009, Pages

  Beneventano, C G ^a   Giacconi, Paola ^b   Santangelo, E M ^a   Soldati, Roberto ^b,c  

^a UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

^b INFN SEZIONE DI BOLOGNA   (Italy)

^c UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449623071     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/27/275401     Document Type: Article

References (59)

1. Dunne G V 1999 Topological Aspects of Low Dimensional Systems (Berlin: Springer)
2. Dittrich W and Gies H 2000 Probing the Vacuum: Perturbative Effective Action Approach in Quantum Electrodynamics and its Application (Springer Tracts in Modern Physics vol 166) (Berlin, Heidelberg: Springer)
3. Raya A and Reyes E 2008 J. Phys. A: Math. Theor. 41 355401
4. Semenoff G W 1984 Phys. Rev. Lett. 53 2499
5. DiVincenzo D P and Mele E J 1984 Phys. Rev. B 29 1685
6. Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V and Firsov A A 2004 Science 306 666
7. Novoselov K S, Geim A K, Morozov S V, Jiang D, Katsnelson M I, Grigorieva I V, Dubonos S V and Firsov A A 2005 Nature 438 197
8. Zhang Y, Tang Y-W, Stormer H L and Kim P 2005 Nature 438 201
9. Geim A K and Novoselov K S 2007 Nature Mater. 6 183
10. Beneventano C G, Giacconi P, Santangelo E M and Soldati R 2007 J. Phys. A: Math. Theor. 40 F435
11. Dowker J S and Critchley R 1976 Phys. Rev. D 13 3224
12. Cognola G, Elizalde E and Zerbini S 2003 Commun. Math. Phys. 237 507
13. Beneventano C G and Santangelo E M 2006 J. Phys. A: Math. Gen. 39 7457
14. Beneventano C G and Santangelo E M 2006 J. Phys. A: Math. Gen. 39 6137
15. Berry M V 1984 Proc. R. Soc. A 392 45
16. Beneventano C G and Santangelo E M 2008 J. Phys. A: Math. Theor. 41 164035
17. Ziegler K 2007 Phys. Rev. B 75 233407
18. Ludwig A W W, Fisher M P A, Shankar R and Grinstein G 1994 Phys. Rev. B 50 7526
19. Ziegler K 1997 Phys. Rev. B 55 10661
20. Ziegler K 1998 Phys. Rev. Lett. 80 3113
21. Katsnelson M I 2006 Eur. Phys. J. B 51 157
22. Peres N M R, Guinea F and Neto A H C 2006 Phys. Rev. B 73 125411
23. Tworzydlo J, Trauzettel B, Titov M, Rycerz A and Beenakker C 2006 Phys. Rev. Lett. 96 246802
24. Cserti J 2007 Phys. Rev. B 75 033405
25. Ostrovsky P M, Gornyi I V and Mirlin A D 2006 Phys. Rev. B 74 235443
26. Ryu S, Mudry C, Furusaki A and Ludwig A W W 2006 arXiv:cond-mat/0610598
27. Falkovsky L A and Varlamov A A 2006 arXiv:cond-mat/0606800
28. Ziegler K 2006 Phys. Rev. Lett. 97 266802
29. Gusynin V P and Sharapov S G 2002 Phys. Rev. B 66 045108
30. Gusynin V P and Sharapov S G 2005 Phys. Rev. Lett. 95 146801
31. Gusynin V P and Sharapov S G 2006 Phys. Rev. B 73 245411
32. Peres N M, Guinea F and Neto A H C 2006 Phys. Rev. B 73 125411
33. Flekkøy E G and Leinaas J M 1991 Int. J. Mod. Phys. A 6 5327
34. Deser S, Griguolo L and Seminara D 1998 Phys. Rev. D 57 7444
35. Forte S 1992 Int. J. Mod. Phys. 7 1025
36. Zak J 1964 Phys. Rev. 134 A1602
37. Zak J 1964 Phys. Rev. 134 A1607
38. Luk'yanchuk I A and Kopelevich Y 2006 Phys. Rev. Lett. 97 256801
39. McCann E and Fal'ko V I 2006 Phys. Rev. Lett. 96 086805
40. Novoselov K S, McCann E, Morozov S V, Falko V I, Katsnelson M I, Zeitler U, Jiang D, Schedin F and Geim A K 2006 Nature Phys. 2 177
41. Nikishov A I 1970 Soviet Phys.-JETP 30 660
42. Nikishov A I 1969 Transl. Zh. Eksp. Teor. Fiz. 57 1210
43. Nikishov A I 2003 Transl. Zh. Eksp. Teor. Fiz. 57 1210 (arXiv:hep-th/0207085v2 arXiv:hep-th/0211088v2)
44. Gradshteyn I S and Ryzhik I M 1996 Table of Integrals, Series, and Products 5th edn ed A Jeffrey (San Diego: Academic)
45. Dunne G V 2008 arXiv:0812.3163v1 [hep-th]
46. Klimenko K G 1992 Z. Phys. C 54 323
47. Klimenko K G 1992 Theor. Math. Phys. 89 1287
48. Dittrich W and Gies H 1997 Phys. Lett. B 392 182
49. Gusynin V P and Shovkovy I A 1999 J. Math. Phys. 40 5406
50. Lin Q-g 1999 J. Phys. G: Nucl. Part. Phys. 25 17
51. Moroz S 2007 arXiv:0710.4880 [hep-ph]
52. Allor D, Cohen T D and McGady D A 2008 arXiv:0708.1471v4 [cond-mat.mes-hall]
53. Itzykson C and Zuber J B 1980 Quantum Field Theory (New York: McGraw-Hill)
54. Schwinger J 1951 Phys. Rev. 82 664
55. Gavrilov S P and Gitman D M 1996 Phys. Rev. D 53 7162
56. Nikishov A I 1970 Nucl. Phys. B 21 346
57. Abramowitz M and Stegun I A 1978 Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (New York: Dover)
58. Gamboa Saraví R E, Muschietti M A, Schaposnik F A and Solomin J E 1985 J. Math. Phys. 26 2045
59. Miao F, Wijeratne S, Zhang Y, Coskun U C, Bao W and Lau C N 2007 Science 317 1530