Traits and characteristics of interacting Dirac fermions in monolayer and bilayer graphene

Solid State Communications

Volumn 175-176, Issue , 2013, Pages 123-131

  Chakraborty, Tapash ^a   Apalkov, Vadim M ^b  

^a UNIVERSITY OF MANITOBA   (Canada)

^b GEORGIA STATE UNIVERSITY   (United States)

Author keywords

A. Graphene; D. Dirac fermions; D. Quantum Hall effects; D. The Pfaffians

Indexed keywords

D. THE PFAFFIANS; DIRAC FERMIONS; FRACTIONAL QUANTUM HALL EFFECTS; IN-PLANE MAGNETIC FIELDS; INTERACTION PROPERTIES; QUANTIZING MAGNETIC FIELD; SEMICONDUCTOR SYSTEMS; TILTED MAGNETIC FIELDS;

BIAS VOLTAGE; ELECTRON-ELECTRON INTERACTIONS; MAGNETIC FIELDS; MONOLAYERS; QUANTUM HALL EFFECT; QUANTUM THEORY;

GRAPHENE;

EID: 84890098151     PISSN: 00381098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ssc.2013.04.002     Document Type: Article

References (72)

1. D.S.L. Abergel, V. Apalkov, J. Berashevich, K. Ziegler, and T. Chakraborty Adv. Phys. 59 2010 261
2. T. Ando Physica E 40 2007 213
3. M.I. Katsnelson Graphene, Crabon in Two Dimensions 2012 Cambridge University Press Cambridge
4. H. Raza Graphene Nanoelectronics 2012 Springer Heidelberg
5. P.R. Wallace Phys. Rev. 71 1947 622
6. A.K. Geim, and K.S. Novoselov Nat. Mater. 6 2007 183
7. A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, and A.K. Geim Rev. Mod. Phys. 81 2009 109
8. M. Mecklenburg, and B.C. Regan Phys. Rev. Lett. 106 2011 116803
9. M. Trushin, and J. Schliemann Phys. Rev. Lett. 107 2011 156801
10. J.W. McClure Phys. Rev. 104 1956 666
11. R.R. Haering, and P.R. Wallace J. Phys. Chem. Solids 3 1957 253
12. 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 438 2005 197
13. Y. Zhang, Y.-W. Tan, H.L. Stormer, and P. Kim Nature 438 2005 201
14. F.D.M. Haldane Phys. Rev. Lett. 51 1983 605
15. F.D.M. Haldane, and E.H. Rezayi Phys. Rev. Lett. 54 1985 237
16. F.D.M. Haldane R.E. Prange, S.M. Girvin, The Quantum Hall Effect 1987 Springer New York 303
17. V.M. Apalkov, and T. Chakraborty Phys. Rev. Lett. 97 2006 126801
18. M.O. Goerbig, R. Moessner, and B. Ducot Phys. Rev. B 74 2006 161407(R)
19. T. Chakraborty, and P. Pietiläinen The Quantum Hall Effects 2nd ed. 1995 Springer New York
20. M. Greiter Phys. Rev. B 83 2011 115129
21. G. Fano, F. Ortolani, and E. Colombo Phys. Rev. B 34 1986 2670
22. V. Apalkov, X.F. Wang, and T. Chakraborty Int. J. Mod. Phys. B 21 2007 1165
23. C. Toke, P.E. Lammert, V.H. Crespi, and J.K. Jain Phys. Rev. B 74 2006 235417
24. N. Shibata, and K. Nomura J. Phys. Soc. Jpn. 78 2009 104708
25. X. Du, I. Skachko, F. Duerr, A. Luican, and E.Y. Andrei Nature 462 2009 192
26. D.A. Abanin, I. Skachko, X. Du, E.Y. Andrei, and L.S. Levitov Phys. Rev. B 81 2010 115410
27. K.I. Bolotin, F. Ghahari, M.D. Shulman, H.L. Störmer, and P. Kim Nature 462 2009 196
28. F. Ghahari, Y. Zhao, P. Cadden-Zimansky, K. Bolotin, and P. Kim Phys. Rev. Lett. 106 2011 046801
29. K.S. Novoselov, E. McCann, S.V. Morozov, V.I. Fal'ko, M.I. Katsnelson, U. Zeitler, D. Jiang, F. Schedin, and A.K. Geim Nat. Phys. 2 2006 177
30. E. McCann, and V. Falko Phys. Rev. Lett. 96 2006 086805
31. E. McCann Phys. Rev. B 74 2006 161403
32. T. Ohta, A. Bostwick, T. Seyller, K. Horn, and E. Rotenberg Science 313 2006 951
33. M. Koshino, and E. McCann Phys. Rev. B 81 2010 115315
34. E. McCann, in: H. Raza (Ed.), Graphene Nanoelectronics, Springer, Heidelberg, 2012 (Chapter 8).
35. Y. Zhao, P. Cadden-Zimansky, Z. Jiang, and P. Kim Phys. Rev. Lett. 104 2010 066801
36. J.M. Pereira Jr., F.M. Peeters, and P. Vasilopoulos Phys. Rev. B 76 2007 115419
37. D.S.L. Abergel, and T. Chakraborty Phys. Rev. Lett. 102 2009 056807
38. M. Mucha-Kruczynski, I.L. Aleiner, and V.I. Fal'ko Phys. Rev. B 84 2011 041404(R)
39. V.M. Apalkov, and T. Chakraborty Phys. Rev. B 84 2011 033408
40. S. Latil, and L. Henrard Phys. Rev. Lett. 97 2006 036803
41. S. Shallcross, S. Sharma, and O.A. Pankratov Phys. Rev. Lett. 101 2008 056803
42. J.M.B. Lopes dos Santos, N.M.R. Peres, and A.H. Castro Neto Phys. Rev. Lett. 99 2007 256802
43. E.J. Mele Phys. Rev. B 81 2010 161405
44. V.M. Apalkov, and T. Chakraborty Phys. Rev. Lett. 105 2010 036801
45. T. Chakraborty Adv. Phys. 49 2000 959
46. T. Chakraborty, P. Pietiläinen, and F.C. Zhang Phys. Rev. Lett. 57 1986 130
47. T. Chakraborty Surf. Sci. 229 1990 16
48. T. Chakraborty, and F.C. Zhang Phys. Rev. B 29 1984 7032
49. F.C. Zhang, and T. Chakraborty Phys. Rev. B 34 1986 7076
50. T. Chakraborty, and P. Pietiläinen Phys. Rev. B 39 1989 7971
51. T. Chakraborty, and P. Pietiläinen Phys. Rev. B 41 1990 10862
52. T. Chakraborty, and P. Pietiläinen Phys. Rev. Lett. 76 1996 4018
53. T. Chakraborty, and P. Pietiläinen Phys. Rev. Lett. 83 1999 5559
54. R.G. Clark, S.R. Haynes, A.M. Suckling, J.R. Mallett, P.A. Wright, J.J. Harrish, and C.T. Foxon Phys. Rev. Lett. 62 1989 1536
55. J.P. Eisenstein, H.L. Störmer, L. Pfeiffer, and K.W. West Phys. Rev. Lett. 62 1989 1540
56. A.G. Davis, R. Newbury, M. Pepper, J.E.F. Frost, D.A. Ritchie, and G.A.C. Jones Phys. Rev. B 44 1991 13128
57. L.W. Engel, S.W. Hwang, T. Sajoto, D.C. Tsui, and M. Shayegan Phys. Rev. B 45 1992 3418
58. T. Sajoto, Y.W. Suen, L.W. Engel, M.B. Santos, and M. Shayegan Phys. Rev. B 41 1990 8449
59. Y.-H. Hyun, Y. Kim, C. Sochichiu, and M.-Y. Choi J. Phys.: Condens. Matter 24 2012 045501
60. I.V. Kukushkin, K. von Klitzing, and K. Eberl Phys. Rev. B 55 1997 10607
61. A. Stern, and B.I. Halperin Phys. Rev. Lett. 96 2006 016802
62. A. Stern Ann. Phys. 323 2008 204
63. N. Read, and D. Green Phys. Rev. B 61 2000 10267
64. D.A. Ivanov Phys. Rev. Lett. 86 2001 268
65. N. Read Physica B 298 2001 121
66. G. Moore, and N. Read Nucl. Phys. B 360 1991 362
67. M. Levin, B.I. Halperin, and B. Rosenow Phys. Rev. Lett. 99 2007 236806
68. S.S. Lee, S. Ryu, C. Nayak, and M.P.A. Fisher Phys. Rev. Lett. 99 2007 236807
69. M. Greiter, X.-G. Wen, and F. Wilczek Phys. Rev. Lett. 66 1991 3205
70. M. Greiter, X.-G. Wen, and F. Wilczek Nucl. Phys. B 374 1992 567
71. V. Apalkov, and T. Chakraborty Phys. Rev. Lett. 107 2011 186803
72. Storni M.,Morf R.H.,Das Sarma S.,Phys. Rev. Lett.2010,104,076803