Evidence for a spontaneous gapped state in ultraclean bilayer graphene

Proceedings of the National Academy of Sciences of the United States of America

Volumn 109, Issue 27, 2012, Pages 10802-10805

  Bao, Wenzhong ^a,b   Velasco, Jairo ^a   Zhang, Fan ^c,d   Jing, Lei ^a   Standley, Brian ^e   Smirnov, Dmitry ^f   Bockrath, Marc ^a   MacDonald, Allan H ^c   Lau, Chun Ning ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Bldg 142   (United States)

^c UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^d UNIVERSITY OF PENNSYLVANIA   (United States)

^e California Institute of Technology   (United States)

^f FLORIDA STATE UNIVERSITY   (United States)

Author keywords

Anomalous hall; Electron electron interactions; Layer antiferromagnets; Spontaneous quantum hall states; Topological states

Indexed keywords

BILAYER GRAPHENE; GRAPHENE; UNCLASSIFIED DRUG;

ARTICLE; ELECTRIC CONDUCTIVITY; ELECTRON; INSULATOR ELEMENT; PHASE TRANSITION; PRIORITY JOURNAL; SURFACE CHARGE; TRANSITION TEMPERATURE;

EID: 84863579081     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1205978109     Document Type: Article

References (44)

1. Novoselov KS, et al. (2006) Unconventional quantum Hall effect and Berry's phase of 2 in bilayer graphene. Nat Phys 2:177-180. (Pubitemid 43553498)
2. McCann E (2006) Asymmetry gap in the electronic band structure of bilayer graphene. Phys Rev B 74:161403.
3. Castro Neto AH, Guinea F, Peres NMR, Novoselov KS, Geim AK (2009) The electronic properties of graphene. Rev Mod Phys 81:109-162.
4. Min HK, Sahu B, Banerjee SK, MacDonald AH (2007) Ab initio theory of gate induced gaps in graphene bilayers. Phys Rev B 75:155115.
5. Nandkishore R, Levitov L (2010) Quantum anomalous Hall state in bilayer graphene. Phys Rev B 82:115124.
6. Zhang F, Jung J, Fiete GA, Niu QA, MacDonald AH (2011) Spontaneous quantum Hall states in chirally stacked few-layer graphene systems. Phys Rev Lett 106:156801.
7. Jung J, Zhang JF, MacDonald AH (2011) Lattice theory of pseudospin ferromagnetism in bilayer graphene: Competing interaction-induced quantum Hall states. Phys Rev B 83:115408.
8. Zhang F, Min H, Polini M, MacDonald AH (2010) Spontaneous inversion symmetry breaking in graphene bilayers. Phys Rev B 81:041402.
9. Vafek O, Yang K (2010) Many-body instability of Coulomb interacting bilayer graphene:Renormalization group approach. Phys Rev B 81:041401.
10. Lemonik Y, Aleiner IL, Toke C, Fal'ko VI (2010) Spontaneous symmetry breaking and Lifshitz transition in bilayer graphene. Phys Rev B 82:201408.
11. Castro EV, Peres NMR, Stauber T, Silva NAP (2008) Low-sensity ferromagnetism in biased bilayer graphene. Phys Rev Lett 100:186803.
12. Zhao Y, Cadden-Zimansky P, Jiang Z, Kim P (2010) Symmetry breaking in the zero-energy Landau level in bilayer graphene. Phys Rev Lett 104:066801.
13. Feldman BE, Martin J, Yacoby A (2009) Broken-symmetry states and divergent resistance in suspended bilayer graphene. Nat Phys 5:889-893.
14. Vafek O (2010) Interacting fermions on the honeycomb bilayer: From weak to strong coupling. Phys Rev B 82:205106.
15. Martin I, Blanter YM, Morpurgo AF (2008) Topological confinement in bilayer graphene. Phys Rev Lett 100:036804.
16. Kharitonov M (2012) Phase diagram for the ν = 0 quantum Hall state in monolayer graphene Maxim Kharitonov. Phys Rev B, 85 p:155439.
17. Kharitonov M (2011) Correlated antiferromagnetic state in bilayer graphene., arXiv:1109.1553v1.
18. Zhang F, MacDonald AH (2012) Distinguishing spontaneous quantum Hall states in bilayer graphene. Phys Rev Lett, 108 p:186804.
19. Weitz RT, Allen MT, Feldman BE, Martin J, Yacoby A (2011) Broken-symmetry states and divergent resistance in suspended bilayer graphene. Science 330:812-816.
20. Martin J, Feldman BE, Weitz RT, Allen MT, Yacoby A (2010) Local compressibility measurements of correlated states in suspended bilayer graphene. Phys Rev Lett 105:256806.
21. Freitag F, Trbovic J, Weiss M, Schonenberger C (2012) Spontaneously gapped ground state in suspended bilayer graphene. Phys Rev Lett 108:076602.
22. Velasco J, et al. (2012) Transport spectroscopy of symmetry-broken insulating states in bilayer graphene. Nat Nanotechnol 7:156-160.
23. Mayorov AS, et al. (2011) Interaction-driven spectrum reconstruction in bilayer graphene. Science 333:860-863.
24. Min H, Borghi G, Polini M, MacDonald AH (2008) Pseudospin magnetism in graphene. Phys Rev B 77:041407.
25. Nandkishore R, Levitov L (2010) Flavor symmetry and competing orders in bilayer graphene., arXiv:1002.1966v1.
26. Zhu L, Aji V, Varma CM (2012) Ordered loop current states in bilayer graphene., arXiv:1202.0821v1.
27. Koshino M, Ando T (2006) Transport in bilayer graphene: Calculations within a self-consistent Born approximation. Phys Rev B 73:245403.
28. Katsnelson MI (2006) Minimal conductivity in bilayer graphene. Eur Phys J B 52:151-153.
29. Cserti J (2007) Minimal longitudinal dc conductivity of perfect bilayer graphene. Phys Rev B 75:033405.
30. David G, Rakya P, Oroszlany L, Cserti J (2012) Effect of the band structure topology on the minimal conductivity for bilayer graphene with symmetry breaking. Phys Rev B, 85 p:041402.
31. Das Sarma S, Hwang EH, Rossi E (2010) Phys Rev B 81:161407.
32. Das Sarma S, Hwang EH, Li Q (2011) Disorder by order in graphene., arXiv:1109.0988.
33. Trushin M, Kailasvuori J, Schliemann J, MacDonald AH (2010) Finite conductivity minimum in bilayer graphene without charge inhomogeneities. Phys Rev B 82:155308.
34. Tan YW, et al. (2007) Measurement of scattering rate and minimum conductivity in graphene. Phys Rev Lett 99:246803.
35. Adam S, Hwang EH, Galitski VM, Das Sarma S (2007) A self-consistent theory for graphene transport. Proc Natl Acad Sci USA 104:18392-18397. (Pubitemid 350210707)
36. Bolotin KI, Sikes KJ, Hone J, Stormer HL, Kim P (2008) Temperature-dependent transport in suspended graphene. Phys Rev Lett 101:096802.
37. Zhu WJ, Perebeinos V, Freitag M, Avouris P (2009) Carrier scattering, mobilities, and electrostatic potential in monolayer, bilayer, and trilayer graphene. Phys Rev B 80:235402.
38. Bao W, et al. (2011) Stacking-dependent band gap and quantum transport in trilayer graphene. Nat Phys 7:948-952.
39. Rossi E, Das Sarma S (2011) Inhomogenous electronic structure, transport gap, and percolation threshold in disordered bilayer graphene. Phys Rev Lett 107:155502.
40. Min H, Abergel DSL, Hwang EH, Das Sarma S (2011) Optical and transport gaps in gated bilayer graphene. Phys Rev B 84:041406(R).
41. Zhang F, Sahu B, Min HK, MacDonald AH (2010) Band structure of ABC-stacked graphene trilayers. Phys Rev B 82:035409.
42. Bao WZ, et al. (2010) Lithography-free fabrication of high quality substrate-supported and freestanding graphene devices. Nano Res 3:98-102.
43. Liu G, Velasco J, Bao WZ, Lau CN (2008) Fabrication of graphene p-n-p junctions with contactless top gates. Appl Phys Lett 92:203103.
44. Zhang F, Tilahun D, MacDonald AH (2012) Hund's rules for the N = 0 Landau levels of trilayer graphene. Phys Rev B 85:165139.