Lifshitz Transition Including Many-Body Effects in Bi-Layer Graphene and Change in Stacking Order

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References

[1] A. S. Nunez, E. Suarez Morell, and P. Vargas, “Trigonal Distortion of Topologically Confined Channels in Bilayer Grapheme,” Applied Physics Letters, Vol. 98, No. 26, 2011, Article ID: 262107. doi:10.1063/1.3605568

[2] A. A. Abrikosov, “Fundamentals of the Theory of Metals,” Elsevier, Amsterdam, 1988.

[3] Y. Lemonik, I. L. Aleiner and V. I. Fal’ko, “Competing Nematic, Antiferromagnetic, and Spin-Flux Orders in the Ground State of Bilayer Grapheme,” Physical Review B, Vol. 85, No. 24, 2012, Article ID: 245451.
doi:10.1103/PhysRevB.85.245451

[4] C. Hwang, D. A. Siegel, S.-K. Mo, W. Regan, A. Ismach, Y. Zhang, A. Zettl and A. Lanzara, “Fermi Velocity Engineering in Graphene by Substrate Modification,” Scientific Reports, Vol. 2, 2012, p. 590.

[5] A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov and A. K. Geim, “The Electronic Properties of Grapheme,” Reviews of Modern Physics, Vol. 87, No. 1, 2009, pp. 109-162. doi:10.1103/RevModPhys.81.109

[6] V. N. Kotov, B. Uchoa, V. M. Pereira, F. Guinea, and A. H. Castro Neto, “Electron-Electron Interactions in Graphene: Current Status and Perspectives,” Reviews of Modern Physics, Vol. 84, No. 3, 2012, pp. 1067-1125.
doi:10.1103/RevModPhys.84.1067

[7] J. B. Oostinga, H. B. Heersche, X. Liu, A. F. Morpurgo, L. M. K. Vandersypen, “Gate-Induced Insulating State in Bilayer Graphene Devices,” Nature Materials, Vol. 7, 2008, pp. 151-157. doi:10.1038/nmat2082

[8] Y. Zhang, T.-T. Tang, C. Girit, Z. Hao, M. C. Martin, A. Zettl, M. F. Crommie, Y. R. Shen, F. Wang, “Direct Observation of a Widely Tunable Bandgap in Bilayer Graphene,” Nature, Vol. 459, No. 7248, 2009, pp. 820-823.
doi:10.1038/nature08105

[9] K. Kechedzhi, V. I. Fal’ko, E. McCann, and B. L, “Influence of Trigonal Warping on Interference Effects in Bilayer Graphene,” Physical Review Letters, Vol. 98, No. 7, 2007, Article ID: 176806.
doi:10.1103/PhysRevLett.98.176806

[10] E. McCann and V. I. Fal’ko, “Landau-Level Degeneracy and Quantum Hall Effect in a Graphite Bilayer,” Physical Review B, Vol. 96, 2006, Article ID: 086805.

[11] F. Guinea, A. H. Castro Neto, and N. M. R, Peres, “Electronic States and Landau Levels in Graphene Stacks,” Physical Review B, Vol. 73, No. 24, 2006, Article ID: 245426.

doi:10.1103/PhysRevB.73.245426

[12] A. Ramasubramaniam, D. Naveh, and E. Towe, “Tunable Band Gaps in Bilayer Graphene-BN Heterostructures,” Nano Letters, Vol. 11, No. 3, 2006, pp. 1070-1075.
doi:10.1021/nl1039499

[13] M. S. Dresselhaus and G. Dresselhaus, “Intercalation Compounds of Graphite,” Advances in Physics, Vol. 51, No. 1, 2002, pp. 1-186. doi:10.1080/00018730110113644

[14] Y. Barlas, R. C?té, J. Lambert and A. H. MacDonald, “Anomalous Exciton Condensation in Graphene Bilayers,” Physical Review Letters, Vol. 104, No. 9, 2010, Article ID: 096802.

doi:10.1103/PhysRevLett.104.096802

[15] K. S. Kim, T.-H. Kim, A. L. Walter, Th. Seyller, H. W. Yeom, E. Rotenberg and A. Bostwick, “Visualizing Atomic-Scale Negative Differential Resistance in Bilayer Graphene,” Physical Review Letters, Vol. 110, No. 3, 2013, Article ID: 036804.

[16] C. Toke and V. I. Fal’ko, “The Effect of the Electron- Electron Interaction on the Lifshitz Transition Density in Bilayer Graphene,” Unpublished.

[17] H. Min, R. Bistritzer, J. J. Su and A. H. MacDonald, “Room-Temperature Superfluidity in Graphene Bilayers,” Physical Review B, Vol. 78, No. 12, 2008, Article ID: 121401.

doi:10.1103/PhysRevB.78.121401

[18] B. Seradjeh, J. E. Moore and M. Franz, “Exciton Condensation and Charge Fractionalization in a Topologic,” Physical Review Letters, Vol. 103, No. 6, 2009, Article ID: 06642.

[19] R. Nandkishore, and L. Levitov, “Quantum Anomalous Hall State in Bilayer Grapheme,” Physical Review B, Vol. 82, No. 11, 2010, Article ID: 115124.

[20] E. Akkermans and G. Montambaux, “Mesoscopic Physics of Electrons and Photons,” Cambridge University Press, New York, 2007.

[21] M. Maggiore, “A Modern Introduction to Quantum Field Theory,” Oxford University Press, Oxford, 2005.

[22] J. Cserti, “Minimal Longitudinal dc Conductivity of Perfect Bilayer Grapheme,” Physical Review B, Vol. 75, No. 3, 2007, Article ID: 033405.

[23] I. Snyman and C. W. J. Beenakker, “Ballistic Transmission through a Graphene Bilayer,” Physical Review B, Vol. 75, No. 4, 2007, Article ID: 045322.

[24] J. Cserti, A. Csordas and G. David, “Role of the Trigonal Warping on the Minimal Conductivity of Bilayer Graphene,” Physical Review Letters, Vol. 99, 2007, Article ID: 066802.