Electronic properties of graphene: A perspective from scanning tunneling microscopy and magnetotransport

Reports on Progress in Physics

Volumn 75, Issue 5, 2012, Pages

  Andrei, Eva Y ^a   Li, Guohong ^a   Du, Xu ^b  

^a RUTGERS UNIVERSITY   (United States)

^b STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPHITE;

ARTICLE; CHEMISTRY; ELECTRIC CONDUCTIVITY; ELECTRON TRANSPORT; MAGNETIC FIELD; MATERIALS TESTING; METHODOLOGY; SCANNING TUNNELING MICROSCOPY; SPECTROSCOPY;

ELECTRIC CONDUCTIVITY; ELECTRON TRANSPORT; GRAPHITE; MAGNETIC FIELDS; MATERIALS TESTING; MICROSCOPY, SCANNING TUNNELING; SPECTRUM ANALYSIS;

EID: 84860360029     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/75/5/056501     Document Type: Review

References (249)

1. Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V and Firosov A A 2004 Electric field effect in atomically thin carbon films Science 306 666 (Pubitemid 39440910)
2. Novoselov K S, Jiang D, Schedin F, Booth T J, Khotkevich V V, Morozov S V and Geim A K 2005 Two-dimensional atomic crystals Proc. Natl Acad. Sci. USA 102 10451 (Pubitemid 41061574)
3. Castro Neto A H, Guinea F, Peres N M R, Novoselov K S and Geim A K 2009 The electronic properties of graphene Rev. Mod. Phys. 81 109
4. Abergel D S L, Apalkov V, Berashevich J, Ziegler K and Chakraborty T 2010 Properties of graphene: a theoretical perspective Adv. Phys. 59 261
5. Beenakker C W J 2008 Andreev reflection and Klein tunneling in graphene Rev. Mod. Phys. 80 1337
6. Katsnelson M I 2007 Graphene: carbon in two dimensions Mater. Today 10 20 (Pubitemid 44960912)
7. Geim A K and Novoselov K S 2007 The rise of graphene Nature Mater. 6 183 (Pubitemid 46353764)
8. Peres N M R 2010 Colloquium: The transport properties of graphene: an introduction Rev. Mod. Phys. 82 2673
9. 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 Two-dimensional gas of massless Dirac fermions in graphene Nature 438 197 (Pubitemid 41599867)
10. Zhang Y, Tan Y W, Stormer H L and Kim P 2005 Experimental observation of the quantum Hall effect and Berry's phase in graphene Nature 438 201 (Pubitemid 41599868)
11. Wallace P R 1947 The band theory of graphite Phys. Rev. 71 622
12. Semenoff G W 1984 Condensed matter simulation of a three-dimensional anomaly Phys. Rev. Lett. 53 2449
13. DiVincenzo D P and Mele E J 1984 Self-consistent effective-mass theory for intralayer screening in graphite intercalation compounds Phys. Rev. B 29 1685
14. Haldane F D M 1988 Model for a quantum Hall effect without Landau levels: condensed-matter realization of the parity anomaly Phys. Rev. Lett. 61 2015
15. Ando T, Zheng Y and Suzuura H 2002 Dynamical conductivity and zero-mode anomaly in honeycomb lattices J. Phys. Soc. Japan 71 1318
16. Ajiki H and Ando T 1993 Electronic states of carbon nanotubes J. Phys. Soc. Japan 62 1255
17. Mermin N D and Wagner H 1966 Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg models Phys. Rev. Lett. 17 1133
18. Fasolino A, Los J H and Katsnelson M I 2007 Intrinsic ripples in graphene Nature Mater. 6 858 (Pubitemid 350050580)
19. Bunch J S, van der Zande A M, Verbridge S S, Frank I W, Tanenbaum D M, Parpia J M, Craighead H G and McEuen P L 2007 Electromechanical resonators from graphene sheets Science 315 490 (Pubitemid 46178391)
20. Meyer J C, Geim A K, Katsnelson M I, Novoselov K S, Booth T J and Roth S 2007 The structure of suspended graphene sheets Nature 446 60 (Pubitemid 46348040)
21. Du X, Skachko I, Barker A and Andrei E Y 2008 Approaching ballistic transport in suspended graphene Nature Nanotechnol. 3 491
22. Bolotin K I, Sikes K J, Jiang Z, Klima M, Fudenberg G, Hone J, Kim P and Stormer H L 2008 Ultrahigh electron mobility in suspended graphene Solid State Commun. 146 351
23. Du X, Skachko I and Andrei E Y 2008 Towards ballistic transport in graphene Int. J. Mod. Phys. B 22 4579
24. Blake P, Hill E W, Castro Neto A H, Novoselov K S, Jiang D, Yang R, Booth T J and Geim A K 2007 Making graphene visible Appl. Phys. Lett. 91 063124 (Pubitemid 47247192)
25. Abergel D S L, Russell A and Falko V I 2007 Visibility of graphene flakes on a dielectric substrate Appl. Phys. Lett. 91 063125 (Pubitemid 47247193)
26. Casiraghi C, Pisana S, Novoselov K S, Geim A K and Ferrari A C 2007 Raman fingerprint of charged impurities in graphene Appl. Phys. Lett. 91 233108 (Pubitemid 350234488)
27. Du X, Skachko I, Duerr F, Luican A and Andrei E Y 2009 Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene Nature 462 192
28. Bolotin K I, Ghahari F, Shulman M D, Stormer H L and Kim P 2009 Observation of the fractional quantum Hall effect in graphene Nature 462 196
29. Abanin D A, Skachko I, Du X, Andrei E Y and Levitov L S 2010 Fractional quantum Hall effect in suspended graphene: transport coefficients and electron interaction strength Phys. Rev. B 81 115410
30. Skachko I, Du X, Duerr F, Luican A, Abanin D A, Levitov L S and Andrei E Y 2010 Fractional quantum Hall effect in suspended graphene probed with two-terminal measurements Phil. Trans. R. Soc. A 368 5403
31. Mattevi C, Kim H and Chhowalla M 2011 A review of chemical vapour deposition of graphene on copper J. Mater. Chem. 21 3324
32. Eizenberg M and Blakely J M 1970 Carbon monolayer phase condensation on Ni(111) Surf. Sci. 82 228
33. 2 and C) chemisorbed on the rhodium (111) and (100) surfaces Surf. Sci. 71 519
34. Lang B 1975 A LEED study of the deposition of carbon on platinum crystal surfaces Surf. Sci. 53 317
35. Land T A, Michely T, Behm R J, Hemminger J C and Comsa G 1992 STM investigation of single layer graphite structures produced on Pt(111) by hydrocarbon decomposition Surf. Sci. 264 261
36. Sasaki M, Yamada Y, Ogiwara Y, Yagyu S and Yamamoto S 2000 Moiré contrast in the local tunneling barrier height images of monolayer graphite on Pt(111) Phys. Rev. B 61 15653
37. N'Diaye A, Coraux J, Plasa T, Busse C and Michely T 2008 Structure of epitaxial graphene on Ir(111) New J. Phys. 10 043033
38. Sutter P W, Flege J I and Sutter E A 2008 Epitaxial graphene on ruthenium Nature Mater. 7 406 (Pubitemid 351585230)
39. Wu M-C, Xu Q and Goodman D W 1994 Investigations of graphitic overlayers formed from methane decomposition on Ru(0001) and Ru(110) catalysts with scanning tunneling microscopy and high-resolution electron energy-loss spectroscopy J. Phys. Chem. 98 5104
40. Marchini S, Günther S and Wintterlin J 2007 Scanning tunneling microscopy of graphene on Ru(0001) Phys. Rev. B 76 075429
41. Vázquez de Parga A L, Calleja F, Borca B, Passeggi M C G Jr, Hinarejos J J, Guinea F and Miranda R 2008 Periodically rippled graphene: growth and spatially resolved electronic structure Phys. Rev. Lett. 100 056807 (Pubitemid 351230698)
42. Kwon S Y, Ciobanu C V, Petrova V, Shenoy V B, Bareño J, Gambin V, Petrov I and Kodambaka S 2009 Growth of semiconducting graphene on palladium Nano Lett. 9 3985
43. Kim K S, Zhao Y, Jang H, Lee S Y, Kim J M, Kim K S, Ahn J-H, Kim P, Choi J-Y and Hong B H 2009 Large-scale pattern growth of graphene films for stretchable transparent electrodes Nature 457 706
44. Jian X et al 2009 Controlled formation of sharp zigzag and armchair edges in graphitic nanoribbons Science 323 1701
45. Reina A, Jia X, Ho J, Nezich D, Son H, Bulovic V, Dresselhaus M S and Kong J 2009 Large area, few-layer graphene films on arbitrary substrates by chemical vapor deposition Nano Lett. 9 30
46. Li X et al 2009 Large-area synthesis of high-quality and uniform graphene films on copper foils 1312 Science
47. Bae S et al 2010 Roll-to-roll production of 30-inch graphene films for transparent electrodes Nature Nanotechnol. 5 574
48. Sun Z, Yan Z, Yao J, Beitler E, Zhu Y and Tour J M 2010 Growth of graphene from solid carbon sources Nature 468 549
49. Van Bommel A J, Crombeen J E and van Tooren A 1975 LEED and Auger electron observations of the SiC(0001) surface Surf. Sci. 48 463
50. Forbeaux I, Themlin J-M and Debever J-M 1998 Heteroepitaxial graphite on 6HSiC(0001): interface formation through conduction-band electronic structure Phys. Rev. B 58 16396
51. Charrier A, Coati A, Argunova T J, Thibaudau F, Garreau Y, Pinchaux R, Forbeaux I, Debever J-M, Sauvage-Simkin M and Themlin J-M 2002 Solid-state decomposition of silicon carbide for growing ultra-thin heteroepitaxial graphite films J. Appl. Phys. 92 2479 (Pubitemid 35037846)
52. Berger C et al 2004 Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics J. Phys. Chem. B 108 19912 (Pubitemid 40079151)
53. Emtsev K V, Seyller T, Ley L, Tadich A, Broekman L, Riley J D, Leckey R C G and Preuss M 2006 Electronic properties of clean unreconstructed 6HSiC(0001) surfaces studied by angle resolved photoelectron spectroscopy Surf. Sci. 600 3845 (Pubitemid 44467916)
54. Riedl C, Coletti C, Iwasaki T, Zakharov A A and Starke U 2009 Quasi-free-standing epitaxial graphene on SiC obtained by hydrogen intercalation Phys. Rev. Lett 103 246804
55. Caldwell J D et al 2010 Technique for the dry transfer of epitaxial graphene onto arbitrary substrates ACS Nano 4 1108
56. Hwang E H, Adam S and Das Sarma S 2007 Carrier transport in two-dimensional graphene layers Phys. Rev. Lett. 98 186806 (Pubitemid 46701738)
57. Lin Y-M, Dimitrakopoulos C, Jenkins K A, Farmer D B, Chiu H-Y, Grill A and Avouris P 2010 100-GHz Transistors from wafer-scale epitaxial graphene Science 327 662
58. Memon N K, Tse S D, Al-Sharab J F, Yamaguchii H, Goncalves A M B, Kear B H, Jaluria Y, Andrei E Y and Chhowalla M 2011 Flame synthesis of graphene films in open environments 5064 Carbon
59. Hernandez Y 2008 High-yield production of graphene by liquid-phase exfoliation of graphite Nature Nanotechnol. 3 563
60. Englert J M, Röhrl J, Schmidt C D, Graupner R, Hundhausen M, Hauke F and Hirsch A 2009 Soluble graphene: generation of aqueous graphene solutions aided by a perylenebisimide-based bolaamphiphile Adv. Mater. 21 4265
61. Park S and Ruoff R S 2009 Chemical methods for the production of graphenes Nature Nanotechnol. 4 217
62. Stankovich S, Piner R, Nguyen S T and Ruoff R S 2006 Synthesis and exfoliation of isocyanate-treated graphene oxide nanoplatelets Carbon 44 3342 (Pubitemid 44634397)
63. Beenakker C W J 2006 Specular Andreev reflection in graphene Phys. Rev. Lett. 97 067007 (Pubitemid 44223153)
64. Ferrari A C et al 2006 Raman spectrum of graphene and graphene layers Phys. Rev. Lett. 97 187401 (Pubitemid 44658281)
65. Li G, Luican A and Andrei E Y 2009 Scanning tunneling spectroscopy of graphene on graphite Phys. Rev. Lett. 102 176804
66. Li G and Andrei E Y 2007 Observation of Landau levels of Dirac fermions in graphite Nature Phys. 3 623
67. Li G, Luican A and Andrei E Y 2011 Self-navigation of an STM tip toward a micron sized sample Rev. Sci. Instrum. 82 073501
68. Fisher P J, Luxmi, Srivastava N, Nie S and Feenstra R M 2010 Thickness monitoring of graphene on SiC using low-energy electron diffraction J. Vac. Sci. Technol. A 28 958
69. Grant J T and Haas T W 1970 A study of Ru(0001) and Rh(111) surfaces using LEED and Auger electron spectroscopy Surf. Sci. 21 76
70. Bonzel H P and Krebs H J 1980 On the chemical nature of the carbonaceous deposits on iron after CO hydrogenation Surf. Sci. 91 499
71. Lee C, Wei X, Kysar J W and Hone J 2008 Measurement of the elastic properties and intrinsic strength of monolayer graphene Science 321 385 (Pubitemid 352029970)
72. Bunch J S, Verbridge S S, Alden J S, van der Zande A M, Parpia J M, Craighead H G and McEuen P L 2008 Impermeable atomic membranes from graphene sheets Nano Lett. 8 2458
73. Schedin F, Geim A K, Morozov S V, Hill E W, Blake P, Katsnelson M I and Novoselov K S 2007 Detection of individual gas molecules adsorbed on graphene Nature Mater. 6 652 (Pubitemid 47359547)
74. Balandin A A, Ghosh S, Bao W, Calizo I, Teweldebrhan D, Miao F and Lau C N 2008 Superior thermal conductivity of single-layer graphene Nano Lett. 8 902
75. Gusynin V P, Sharapov S G and Carbotte J P 2006 Unusual microwave response of dirac quasiparticles in graphene Phys. Rev. Lett. 96 256802 (Pubitemid 43991980)
76. Blake P et al 2008 Graphene-based liquid crystal device Nano Lett. 8 1704
77. Nair R R, Blake P, Grigorenko A N, Novoselov K S, Booth T J, Stauber T, Peres N M R and Geim A K 2008 Fine structure constant defines visual transparency of graphene Science 320 1308 (Pubitemid 351929460)
78. Wang X, Zhi L and Mullen K 2008 Transparent, conductive graphene electrodes for dye-sensitized solar cells Nano Lett. 8 323 (Pubitemid 351177822)
79. Mañes J L, Guinea F and Vozmediano M A H 2007 Existence and topological stability of Fermi points in multilayered graphene Phys. Rev. B 75 155424
80. Reich S, Thomsen C and Maultzsch J 2002 Tight-binding description of graphene Phys. Rev. B 66 035412
81. Chen J H, Jang C, Adam S, Fuhrer M S, Williams E D and Ishigami M 2008 Charged impurity scattering in graphene Nature Phys. 4 377
82. Tikhonenko F V, Kozikov A A, Savchenko A K and Gorbachev R V 2009 Transition between electron localization and antilocalization in graphene Phys. Rev. Lett. 103 226801
83. Berry M V 1984 Quantal phase factors accompanying adiabatic changes Proc. R. Soc. Lond. A 392 45
84. Xiao D, Chang M C and Niu Q 2010 Berry phase effects on electronic properties Rev. Mod. Phys. 82 1959
85. Andrei E Y 1997 Two-Dimensional Electron Systems on Helium and Other Cryogenic Substrates (Dordrecht: Kluwer)
86. Davies J H 1997 The Physics of Low-Dimensional Semiconductors: An Introduction (Cambridge: Cambridge University Press)
87. Onsager L 1952 Interpretation of the de Haasvan Alphen effect Phil. Mag. 43 1006
88. McClure J W 1956 Diamagnetism of graphite Phys. Rev. 104 666
89. Ezawa M 2007 Supersymmetry and correlated electrons in graphene quantum Hall effect Physica E 40 269 (Pubitemid 350102347)
90. Zhang L M, Fogler M M and Arovas D P 2011 Magnetoelectric coupling, Berry phase, and Landau level dispersion in a biased bilayer graphene Phys. Rev. B 84 075451
91. Goerbig M O 2011 Electronic properties of graphene in a strong magnetic field Rev. Mod. Phys. 83 1193
92. Klein O 1929 Die reflexion von elektronen an einem potentialsprung nach der relativistischen dynamik von Dirac Z. Phys. 53 157
93. Katsnelson M I 2006 Minimal conductivity in bilayer graphene Eur. Phys. J. B 52 151 (Pubitemid 44157756)
94. Tworzydo J, Trauzettel B, Titov M, Rycerz A and Beenakker C W J 2006 Sub-Poissonian shot noise in graphene Phys. Rev. Lett. 96 246802 (Pubitemid 43927090)
95. Young A F and Kim P 2009 Quantum interference and Klein tunnelling in graphene Nature Phys. 5 222
96. Cheianov V V, Fal'ko V and Altshuter B L 2007 The focusing of electron flow and a veselago lens in graphene pn junctions Science 315 1252 (Pubitemid 46364258)
97. Shytov A V, Katsnelson M I and Levitov L S 2007 Atomic collapse and quasi-Rydberg states in graphene Phys. Rev. Lett. 99 246802 (Pubitemid 350276600)
98. Goerbig M O and Regnault N 2007 Analysis of a SU(4) generalization of Halperin's wave function as an approach towards a SU(4) fractional quantum Hall effect in graphene sheets Phys. Rev. B 75 241405
99. Khveshchenko D V 2007 Composite Dirac fermions in graphene Phys. Rev. B 75 153405
100. 2 Phys. Rev. Lett. 102 076102
101. Peres N M R, Guinea F and Castro Neto A H 2005 Coulomb interactions and ferromagnetism in pure and doped graphene Phys. Rev. B 72 174406 (Pubitemid 43017872)
102. Khveshchenko D V 2006 Coulomb-interacting Dirac fermions in disordered graphene Phys. Rev. B 74 161402 (Pubitemid 44601571)
103. González J, Guinea F and Vozmediano M A H 2001 Electronelectron interactions in graphene sheets Phys. Rev. B 63 134421
104. Tke C and Jain J K 2007 SU(4) composite fermions in graphene: fractional quantum Hall states without analog in GaAs Phys. Rev. B 75 245440
105. Yang K, Das Sarma S and MacDonald A H 2006 Collective modes and skyrmion excitations in graphene SU (4) quantum Hall ferromagnets Phys. Rev. B 74 075423 (Pubitemid 44291263)
106. Morozov S V, Novoselov K S, Katsnelson M I, Schedin F, Elias D C, Jaszczak J A and Geim A K 2008 Giant intrinsic carrier mobilities in graphene and its bilayer Phys. Rev. Lett. 100 016602 (Pubitemid 351388329)
107. Tang Z, Wu H, Cort J R, Buchko G W, Zhang Y, Shao Y, Aksay I A, Liu J and Lin Y 2010 The constraint of DNA on functionalized graphene improves its biostability and specificity Small 6 1205
108. Park S Y, Park J, Sim S H, Sung M G, Kim K S, Hong B H and Hong S 2011 Enhanced differentiation of human neural stem cells into neurons on graphene Adv. Mater. 23 H263
109. Nayak T R et al 2011 Graphene for controlled and accelerated osteogenic differentiation of human mesenchymal stem cells ACS Nano 5 4670
110. Min S K, Kim W Y, Cho Y and Kim K S 2011 Fast DNA sequencing with a graphene-based nanochannel device Nature Nanotechnol. 6 162
111. Uchoa B, Cabrera G G and Castro Neto A H 2005 Nodal liquid and s-wave superconductivity in transition metal dichalcogenides Phys. Rev. B 71 184509 (Pubitemid 41743139)
112. Fisher K A G, Nicol E J and Carbotte J P 2011 Electron pockets and pseudogap Dirac point in underdoped cuprate superconductors Europhys. Lett. 95 47008
113. 2 Phys. Rev. Lett. 104 137001
114. Cho S, Chen Y F and Fuhrer M S 2007 Gate-tunable graphene spin valve Appl. Phys. Lett. 91 123105 (Pubitemid 47461938)
115. Cuevas J C, Hammer J, Kopu J, Viljas J K and Eschrig M 2006 Proximity effect and multiple Andreev reflections in diffusive superconductornormal- metalsuperconductor junctions Phys. Rev. B 73 184505 (Pubitemid 43660023)
116. Heersche H B, Jarillo-Herrero P, Oostinga J B, Vandersypen L M K and Morpurgo A F 2007 Bipolar supercurrent in graphene Nature 446 56 (Pubitemid 46350681)
117. Du X, Skachko I and Andrei E Y 2008 Josephson current and multiple Andreev reflections in graphene SNS junctions Phys. Rev. B 77 184507
118. Zhang Y, Jiang Z, Small J P, Purewal M S, Tan Y W, Fazlollahi M, Chudow J D, Jaszczak J A, Stormer H L and Kim P 2006 Landau-level splitting in graphene in high magnetic fields Phys. Rev. Lett. 96 136806
119. Zhang Y, Brar V W, Wang F, Girit C, Yayon Y, Panlasigui M, Zettl A and Crommie M F 2008 Giant phonon-induced conductance in scanning tunnelling spectroscopy of gate-tunable graphene Nature Phys. 4 627
120. Luican A, Li G and Andrei E Y 2011 Quantized Landau level spectrum and its density dependence in graphene Phys. Rev. B 83 041405(R)
121. 2 Nano Lett. 7 1643 (Pubitemid 47140438)
122. Stolyarova E et al 2009 Observation of graphene bubbles and effective mass transport under graphene films Nano Lett. 9 332
123. Rutter G M, Crain J N, Guisinger N P, Li T, First P N and Stroscio J A 2007 Scattering and interference in epitaxial graphene Science 317 219 (Pubitemid 47076191)
124. Sabio J, Seoánez C, Fratini S, Guinea F, Castro Neto A H and Sols F 2008 Electrostatic interactions between graphene layers and their environment Phys. Rev. B 77 195409
125. Martin J, Akerman N, Ulbricht G, Lohmann T, Smet J H, von Klitzing K and Yacoby A 2008 Nature Phys. 4 144
126. von Klitzing K 2005 Developments in the quantum Hall effect Phil. Trans. R. Soc. A 363 2203 (Pubitemid 41382822)
127. Laughlin R B 1983 Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations Phys. Rev. Lett. 50 1395
128. Jain J K 1989 Composite-fermion approach for the fractional quantum Hall effect Phys. Rev. Lett. 63 199
129. Bardeen J 1961 Tunnelling from a many-particle point of view Phys. Rev. Lett. 6 57
130. Fischer O, Kugler M, Maggio-Aprile I, Berthod C and Renner C 2007 Scanning tunneling spectroscopy of high-temperature superconductors Rev. Mod. Phys. 79 353 (Pubitemid 46420257)
131. Stolyarova E, Rim K T, Ryu S, Maultzsch J, Kim P, Brus L E, Heinz T F, Hybertsen M S and Flynn G W 2007 High-resolution scanning tunneling microscopy imaging of mesoscopic graphene sheets on an insulating surface Proc. Natl Acad. Sci. USA 104 9209 (Pubitemid 47185759)
132. Xu K, Cao P and Heath J R 2009 Scanning tunneling microscopy characterization of the electrical properties of wrinkles in exfoliated graphene monolayers Nano Lett. 9 4446
133. Zhang Y, Brar V W, Girit C, Zettl A and Crommie M F 2009 Origin of spatial charge inhomogeneity in graphene Nature Phys. 5 722
134. Brihuega I, Mallet P, Bena C, Bose S, Michaelis C, Vitali L, Varchon F, Magaud L, Kern K and Veuillen J Y 2008 Quasiparticle chirality in epitaxial graphene probed at the nanometer scale Phys. Rev. Lett. 101 206802
135. Oshima C and Nagashima A 1997 Ultra-thin epitaxial films of graphite and hexagonal boron nitride on solid surfaces J. Phys.: Condens. Matter 9 1
136. Wintterlin J and Bocquet M L 2009 Graphene on metal surfaces Surf. Sci. 603 1841
137. Zhao L et al 2011 Visualizing individual nitrogen dopants in monolayer graphene Science 333 999
138. Gao L, Guest J R and Guisinger N P 2010 Epitaxial graphene on Cu(111) Nano Lett. 10 3512
139. Pan Y, Zhang H, Shi D, Sun J, Du S, Liu F and Gao H-j 2009 Highly ordered, millimeter-scale, continuous, single-crystalline graphene monolayer formed on Ru (0001) Adv. Mater. 21 2777
140. Tománek D, Louie S G, Mamin H J, Abraham D W, Thomson R E, Ganz E and Clarke J 1987 Theory and observation of highly asymmetric atomic structure in scanning-tunneling-microscopy images of graphite Phys. Rev. B 35 7790
141. Gwo S and Shih C K 1993 Site-selective imaging in scanning tunneling microscopy of graphite: the nature of site asymmetry Phys. Rev. B 47 13059
142. Moriarty P and Hughes G 1992 Atomic resolved material displacement on graphite surfaces by scanning tunnelling microscopy Appl. Phys. Lett. 60 2338
143. Ouseph P J, Poothackanal T and Mathew G 1995 Honeycomb and other anomalous surface pictures of graphite Phys. Lett. A 205 65
144. Paredes J I, Alonso A M and Tascon J M D 2001 Carbon-catalyzed decompositions of hydrazine and hydroxylamine Carbon 39 473 (Pubitemid 32139025)
145. Hembacher S, Giessibl F, Mannhart J and Quate C F 2003 Revealing the hidden atom in graphite by low-temperature atomic force microscopy Proc. Natl Acad. Sci. USA 100 12539 (Pubitemid 37339932)
146. Mizes H A, Park S-i and Harrison W A 1987 Multiple-tip interpretation of anomalous scanning-tunneling-microscopy images of layered materials Phys. Rev. B 36 4491
147. Atamny F, Spillecke O and Schlogl R 1999 On the STM imaging contrast of graphite: towards a true atomic resolution Phys. Chem. Chem. Phys. 1 4113
148. Wang Y, Ye Y and Wu K 2006 Simultaneous observation of the triangular and honeycomb structures on highly oriented pyrolytic graphite at room temperature: an STM study Surf. Sci. 600 729 (Pubitemid 43171940)
149. Xu P, Yang Y, Barber S D, Ackerman M L, Schoelz J K, Kornev I A, Barraza-Lopez S, Bellaiche L and Thibado P M 2011 Giant surface charge density of graphene resolved from scanning tunneling microscopy and first-principles theory Phys. Rev. B 84 161409
150. Miller D L, Kubista K D, Rutter G M, Ruan M, de Heer W A, First P N and Stroscio J A 2009 Observing the quantization of zero mass carriers in graphene Science 324 924
151. Levy N, Burke S A, Meaker K L, Panlasigui M, Zettl A, Guinea F, Castro Neto A H and Crommie M F 2010 Strain-induced pseudo-magnetic fields greater than 300 Tesla in graphene nanobubbles Science 329 544
152. 3 Phys. Rev. Lett. 105 076801
153. 3 Phys. Rev. B 82 081305
154. Deacon R S, Chuang K C, Nicholas R J, Novoselov K S and Geim A K 2007 Cyclotron resonance study of the electron and hole velocity in graphene monolayers Phys. Rev. B 76 081406
155. Jiang Z, Henriksen E A, Tung L C, Wang Y J, Schwartz M E, Han M Y, Kim P and Stormer H L 2007 Infrared spectroscopy of Landau levels in graphene Phys. Rev. Lett. 98 197403 (Pubitemid 47139513)
156. Sadowski M L, Martinez G, Potemski M, Berger C and de Heer W A 2006 Landau level spectroscopy of ultrathin graphite layers Phys. Rev. Lett. 97 266405 (Pubitemid 46135040)
157. Neugebauer P, Orlita M, Faugeras C, Barra A-L and Potemski M 2009 How perfect can graphene be? Phys. Rev. Lett. 103 136403
158. Gonzalez J, Guinea F and Vozmediano M A H 1996 Unconventional quasiparticle lifetime in graphite Phys. Rev. Lett. 77 3589
159. Park C-H, Giustino F, Cohen M L and Louie S G 2007 Velocity renormalization and carrier lifetime in graphene from the electronphonon interaction Phys. Rev. Lett. 99 086804 (Pubitemid 47330790)
160. Park C H, Giustino F, Cohen M L and Louie S G 2008 Electronphonon interactions in graphene, bilayer graphene, and graphite Nano Lett. 8 4229
161. Yan J A, Ruan W Y and Chou M Y 2009 Electronphonon interactions for optical-phonon modes in few-layer graphene: first-principles calculations Phys. Rev. B 79 125401
162. Pereira J M, Peeters F M and Vasilopoulos P 2007 Landau levels and oscillator strength in a biased bilayer of graphene Phys. Rev. B 76 115419
163. Luican A, Li G and Andrei E Y 2009 Scanning tunneling microscopy and spectroscopy of graphene layers on graphite Solid State Commun. 149 1151
164. Novoselov K S, McCann E, Morozov S V, Fal'ko V I, Katsnelson M I, Zeitler U, Jiang D, Schedin F and Geim A K 2006 Unconventional quantum Hall effect and Berry's phase of 2π in bilayer graphene Nature Phys. 2 177 (Pubitemid 43553498)
165. Guinea F, Castro Neto A H and Peres N M R 2006 Electronic states and Landau levels in graphene stacks Phys. Rev. B 73 245426 (Pubitemid 43938702)
166. Partoens B and Peeters F M 2007 Normal and Dirac fermions in graphene multilayers: tight-binding description of the electronic structure Phys. Rev. B 75 193402
167. Latil S and Henrard L 2006 Charge carriers in few-layer graphene films Phys. Rev. Lett. 97 036803 (Pubitemid 44092288)
168. Mak K F, Shan J and Heinz T F 2010 Electronic structure of few-layer graphene: experimental demonstration of strong dependence on stacking sequence Phys. Rev. Lett. 104 176404
169. Lopes dos Santos J M B, Peres N M R and Castro Neto A H 2007 Graphene bilayer with a twist: electronic structure Phys. Rev. Lett. 99 256802 (Pubitemid 350281261)
170. Pong W T and Durkan C 2005 A review and outlook for an anomaly of scanning tunnelling microscopy (STM): superlattices on graphite J. Phys. D: Appl. Phys. 38 R329
171. Li G, Luican A, Lopes dos Santos J M B, Castro Neto A H, Reina A, Kong J and Andrei E Y 2009 Observation of Van Hove singularities in twisted graphene layers Nature Phys. 6 109
172. Hass J, Varchon F, Millán-Otoya J E, Sprinkle M, Sharma N, de Heer W A, Berger C, First P N, Magaud L and Conrad E H 2008 Why multilayer graphene on 4HSiC(000 ) behaves like a single sheet of graphene Phys. Rev. Lett. 100 125504 (Pubitemid 351469004)
173. Shallcross S, Sharma S, Kandelaki E and Pankratov O A 2010 Electronic structure of turbostratic graphene Phys. Rev. B 81 165105
174. Mele E J 2010 Commensuration and interlayer coherence in twisted bilayer graphene Phys. Rev. B 81 161405
175. Latil S, Meunier V and Henrard L 2007 Massless fermions in multilayer graphitic systems with misoriented layers: ab initio calculations and experimental fingerprints Phys. Rev. B 76 201402
176. Campanera J M, Savini G, Suarez-Martinez I and Heggie M I 2007 Density functional calculations on the intricacies of Moiré patterns on graphite Phys. Rev. B 75 235449
177. MacDonald A H and Bistritzer R 2011 Materials science: graphene Moire mystery solved? Nature 474 453
178. Trambly de Laissardiere G, Mayou D and Magaud L 2010 Localization of Dirac electrons in rotated graphene bilayers Nano Lett. 10 804
179. Mele E J 2011 Band symmetries and singularities in twisted multilayer graphene Phys. Rev. B 84 235439
180. Choi M-Y, Hyun Y-H and Kim Y 2011 Angle dependence of the Landau level spectrum in twisted bilayer graphene Phys. Rev. B 84 195437
181. Suárez Morell E, Vargas P, Chico L and Brey L 2011 Charge redistribution and interlayer coupling in twisted bilayer graphene under electric fields Phys. Rev. B 84 195421
182. Kindermann M and Mele E J 2011 Landau quantization in twisted bilayer graphene: the Dirac comb Phys. Rev. B 84 161406
183. Xian L, Barraza-Lopez S and Chou M Y 2011 Effects of electrostatic fields and charge doping on the linear bands in twisted graphene bilayers Phys. Rev. B 84 075425
184. Bistritzer R and MacDonald A H 2011 Moiré butterflies in twisted bilayer graphene Phys. Rev. B 84 035440
185. Apalkov V M and Chakraborty T 2011 Optical transitions at commensurate angles in a misoriented bilayer graphene in an external magnetic field Phys. Rev. B 84 033408
186. de Gail R, Goerbig M O, Guinea F, Montambaux G and Castro Neto A H 2011 Topologically protected zero modes in twisted bilayer graphene Phys. Rev. B 84 045436
187. Crassee I, Levallois J, van der Marel D, Walter A L, Seyller T and Kuzmenko A B 2011 Multicomponent magneto-optical conductivity of multilayer graphene on SiC Phys. Rev. B 84 035103
188. Luican A, Li G, Reina A, Kong J, Nair R R, Novoselov K S, Geim A K and Andrei E Y 2011 Single-layer behavior and its breakdown in twisted graphene layers Phys. Rev. Lett. 106 126802
189. Jung S, Rutter G M, Klimov N N, Newell D B, Calizo I, Hight-Walker A R, Zhitenev N B and Stroscio J A 2011 Evolution of microscopic localization in graphene in a magnetic field from scattering resonances to quantum dots Nature Phys. 7 245
190. Geringer V, Subramaniam D, Michel A K, Szafranek B, Schall D, Georgi A, Mashoff T, Neumaier D, Liebmann M and Morgenstern M 2010 Electrical transport and low-temperature scanning tunneling microscopy of microsoldered graphene Appl. Phys. Lett. 96 082114
191. Park Y B and Rhee S W 1999 Microstructure and interfacial states of silicon dioxide film grown by low temperature remote plasma enhanced chemical vapor deposition J. Appl. Phys. 86 1346
192. Park Y B and Rhee S W 1995 Effects of chlorine addition on the silicon dioxide properties deposited with remote plasma enhanced chemical vapor deposition at low temperatures Appl. Phys. Lett. 66 3477
193. 2 films deposited by plasma enhanced techniques Vacuum 206 6
194. Dial O E, Ashoori R C, Pfeiffer L N and West K W 2007 High-resolution spectroscopy of two-dimensional electron systems Nature 448 176 (Pubitemid 47067379)
195. Abrikosov A A and Beneslavskii S D 1971 Possible existence of substances intermediate between metal and dielectric Sov. Phys. - JETP 82 699
196. Gonzalez J, Guinea F and Vozmediano M A H 1999 Marginal-Fermi-liquid behavior from two-dimensional Coulomb interaction Phys. Rev. B 59 R2474
197. Weger M, Burlachkov L and Kaveh M 1992 Velocity renormalization in a quasi-two-dimensional electron gas Europhys. Lett. 19 505
198. Barlas Y, Pereg-Barnea T, Polini M, Asgari R and MacDonald A H 2007 Chirality and correlations in graphene Phys. Rev. Lett. 98 236601 (Pubitemid 47139806)
199. Hwang E H and Das Sarma S 2007 Dielectric function, screening, and plasmons in two-dimensional graphene Phys. Rev. B 75 205418
200. Elias D C et al 2011 Dirac cones reshaped by interaction effects in suspended graphene Nature Phys. 7 701
201. Wehling T O, Grigorenko I, Lichtenstein A I and Balatsky A V 2008 Phonon-mediated tunneling into graphene Phys. Rev. Lett. 101 216803
202. Altshuler L and Aronov A G 1979 Zero bias anomaly in tunnel resistance and electronelectron interaction Solid State Commun. 30 115 (Pubitemid 9477170)
203. Xue J, Sanchez-Yamagishi J, Bulmash D, Jacquod P, Deshpande A, Watanabe K, Taniguchi T, Jarillo-Herrero P and LeRoy B J 2011 Scanning tunnelling microscopy and spectroscopy of ultra-flat graphene on hexagonal boron nitride Nature Mater. 10 282
204. Lui C H, Liu L, Mak K F, Flynn G W and Heinz T F 2009 Ultraflat graphene Nature 462 339
205. Luican A, Guohong L, Taniguchi T, Watanabe K and Andrei E Y 2011 STM and STS on hexagonal BN, unpublished
206. Dean C R, Young A F, Cadden-Zimansky P, Wang L, Ren H, Watanabe K, Taniguchi T, Kim P, Hone J and Shepard K L 2011 Multicomponent fractional quantum Hall effect in graphene Nature Phys. 7 693
207. Xia J, Chen F, Li J and Tao N 2009 Measurement of the quantum capacitance of graphene Nature Nanotechnol. 4 505
208. Lee E J H, Balasubramanian K, Weitz R T, Burghard M and Kern K 2008 Contact and edge effects in graphene devices Nature Nanotechnol. 3 486
209. Wang H, Nezich D, Kong J and Palacios T 2009 Graphene frequency multipliers IEEE Electron Device Lett. 30 547
210. Ando T 2006 Screening effect and impurity scattering in monolayer graphene J. Phys. Soc. Japan 75 074716
211. Hwang E H, Hu B-K and Das Sarma S 2007 Density dependent exchange contribution to μ/n and compressibility in graphene Phys. Rev. Lett. 99 226801 (Pubitemid 350191557)
212. Vasko F T and Ryzhii V 2007 Voltage and temperature dependencies of conductivity in gated graphene Phys. Rev. B 76 233404
213. Stauber T, Peres N M R and Guinea F 2007 Electronic transport in graphene: a semiclassical approach including midgap states Phys. Rev. B 76 205423
214. Katsnelson M I and Geim A K 2008 Electron scattering on microscopic corrugations in graphene Phil. Trans. R. Soc. A 366 195 (Pubitemid 351396366)
215. Cuevas J C and Yeyati A L 2006 Subharmonic gap structure in short ballistic graphene junctions Phys. Rev. B 74 180501 (Pubitemid 44707983)
216. Titov M and Beenakker C W J 2006 Josephson effect in ballistic graphene Phys. Rev. B 74 041401 (Pubitemid 44006828)
217. Likharev K K 1979 Superconducting weak links Rev. Mod. Phys. 51 101
218. Fulton T A and Dunkleberger L N 1974 Lifetime of the zero-voltage state in Josephson tunnel junctions Phys. Rev. B 9 4760
219. Tinkham M 1996 Introduction to Superconductivity (New York: McGraw-Hill)
220. Moser J, Barriero A and Bachtold A 2007 Scanning gate microscopy of current-annealed single layer graphene Appl. Phys. Lett. 91 163513 (Pubitemid 350004075)
221. Mueller M, Braeuninger M and Trauzettel B 2009 Temperature dependence of the conductivity of ballistic graphene Phys. Rev. Lett. 103 196801
222. Tan Y-W, Zhang Y, Bolotin K, Zhao Y, Adam S, Hwang E H, Das Sarma S, Stormer H L and Kim P 2007 Measurement of scattering rate and minimum conductivity in graphene Phys. Rev. Lett. 99 246803 (Pubitemid 350276599)
223. Bao W, Zhao Z, Zhang H, Liu G, Kratz P, Jing L, Velasco J Jr, Smirnov D and Lau C N 2010 Magnetoconductance oscillations and evidence for fractional quantum Hall states in suspended bilayer and trilayer graphene Phys. Rev. Lett. 105 246601
224. Komiyama S, Sakuma H, Ikushima K and Hirakawa K 2006 Electron temperature of hot spots in quantum Hall conductors Phys. Rev. B 73 045333 (Pubitemid 43270641)
225. Fang F F and Stiles P J 1983 Quantized magnetoresistance in two-dimensional electron systems Phys. Rev. B 27 6487
226. Russell P A, Ouali F F, Hewett N P and Challis L J 1990 Power dissipation in the quantum Hall regime Surf. Sci. 229 54
227. Wakabayashi J and Kawaji S 1978 Hall effect in silicon MOS inversion layers under strong magnetic fields J. Phys. Soc. Japan 44 1839
228. Kla U, Dietsche W, von Klitzing K and Ploog K 1991 Imaging of the dissipation in quantum-Hall-effect experiments Z. Phys. B 82 351
229. Klass U, Dietsche W, von Klitzing K and Ploog K 1992 Image of the dissipation in gated quantum Hall effect samples Surf. Sci. 263 97
230. Kramer T, Kreisbeck C, Krueckl V, Heller E J, Parrott R E and Liang C-T 2010 Theory of the quantum Hall effect in finite graphene devices Phys. Rev. B 81 081410
231. Kramer T, Krueckl V, Heller E J and Parrott R E 2010 Self-consistent calculation of electric potentials in Hall devices Phys. Rev. B 81 205306
232. Skachko I, Duerr F and Andrei E Y 2011 unpublished
233. Abanin D A and Levitov L S 2008 Conformal invariance and shape-dependent conductance of graphene samples Phys. Rev. B 78 035416
234. Bernevig B A, Hughes T L, Zhang S C, Chen H D and Wu C 2006 Band collapse and the quantum Hall effect in grapheme Int. J. Mod. Phys. B 20 3257 (Pubitemid 44481508)
235. Tke C, Lammert P E, Crespi V H and Jain J K 2006 Fractional quantum Hall effect in graphene Phys. Rev. B 74 235417 (Pubitemid 44907673)
236. Williams J R, Abanin D A, DiCarlo L, Levitov L S and Marcus C M 2009 Quantum Hall conductance of two-terminal graphene devices Phys. Rev. B 80 045408
237. Reed J P, Uchoa B, Joe Y I, Gan Y, Casa D, Fradkin E and Abbamonte P 2010 The effective fine-structure constant of freestanding graphene measured in graphite Science 330 805
238. Wan X, Sheng D N, Rezayi E H, Yang K, Bhatt R N and Haldane F D M 2005 Mobility gap in fractional quantum Hall liquids: effects of disorder and layer thickness Phys. Rev. B 72 075325 (Pubitemid 43406183)
239. Min H, Borghi G, Polini M and MacDonald A H 2008 Pseudospin magnetism in graphene Phys. Rev. B 77 041407
240. Nomura K and MacDonald A H 2006 Quantum Hall ferromagnetism in graphene Phys. Rev. Lett. 96 256602 (Pubitemid 43974586)
241. Alicea J and Fisher M P A 2006 Integer quantum Hall effect in the ferromagnetic and paramagnetic regimes Phys. Rev. B 74 075422 (Pubitemid 44274312)
242. Yang K 2007 Spontaneous symmetry breaking and quantum Hall effect in graphene Solid State Commun. 143 27 (Pubitemid 46874500)
243. Gorbar E V, Gusynin V P, Miransky V A and Shovkovy I A 2008 Dynamics in the quantum Hall effect and the phase diagram of graphene Phys. Rev. B 78 085437
244. Checkelsky J G, Li L and Ong N P 2008 Divergent resistance at the Dirac point in graphene: evidence for a transition in high magnetic field Phys. Rev. Lett. 100 206801 (Pubitemid 351718008)
245. Abanin D A, Novoselov K S, Zeitler U, Lee P A, Geim A K and Levitov L S 2007 Dissipative quantum Hall effect in graphene near the Dirac point Phys. Rev. Lett. 98 196806 (Pubitemid 47139515)
246. Giesbers A J M, Ponomarenko L A, Novoselov K S, Geim A K, Katsnelson M I, Maan J C and Zeitler U 2009 Gap opening in the zeroth Landau level of graphene Phys. Rev. B 80 201403
247. Shimshoni E, Fertig H A and Pai G V 2009 Onset of an insulating zero-plateau quantum Hall state in graphene Phys. Rev. Lett. 102 206408
248. Cote R, Jobidon J F and Fertig H A 2008 Skyrme and Wigner crystals in graphene Phys. Rev. B 78 085309
249. Poplavskyy O, Goerbig M O and Morais Smith C 2009 Local density of states of electron-crystal phases in graphene in the quantum Hall regime Phys. Rev. B 80 195414