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[1] A. K. Geim and K. S. Novoselov, Nature Materials, 6, 183 (2007)
[2] A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009)
[3] The electronic hopping parameter of graphene is commonly quoted in the literature as approximately t = −2.7eV . Within this work, the energy, E, is expressed in units of t. However, whenever t appears in an expression it is important that a negative quantity is used. It is common practice to set t = 1.0 when dealing with expressions similar to Eqs. (12) and (18). However due to the sign choices implicit in the calculation of these quantities this may lead to an erroneous result. If renormalising t, a negative value will return the correct Green function.
[4] A. T. Costa, D. F. Kirwan and M. S. Ferreira, Phys. Rev. B 72, 085402 (2005)
[5] M. L. Boas, Mathematical Methods in the Physical Sciences, Wiley (1983)
[6] A. A. Abrikosov, Fundamentals of the Theory of Metals, North Holland (1988)
[7] Accounting for both stationary solutions improve the result only for energies very near the van Hove singularities at E = ±t. Other than that, the excluding conditions at Eq.(6) are sufficient.
[8] S. Saremi, Phys. Rev. B 76, 184430 (2007)
[9] L. Brey, H. A. Fertig and S. Das Sarma, Phys. Rev. Lett. 99, 116802 (2007)
[10] M. A. H. Vozmediano, M. P. LopezSancho, T. Stauber and F. Guinea, Phys. Rev. B 72, 155121 (2005)