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Electronic spectrum of trilayer graphene

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Abstract

Present work deals with the analysis of the single particle electronic spectral function in trilayer (ABC-, ABA- and AAA-stacked) graphene. Tight binding Hamiltonian containing intralayer nearest-neighbor and next-nearest neighbor hopping along-with the interlayer coupling parameter within two triangular sub-lattice approach for trilayer graphene has been employed. The expression of single particle spectral functions A(kw) is obtained within mean-field Green’s function equations of motion approach. Spectral function at Γ, M and K points of the Brillouin zone has been numerically computed. It is pointed out that the nature of electronic states at different points of Brillouin zone is found to be influenced by stacking order and Coulomb interactions. At Γ and M points, a trilayer splitting is predicted while at K point a bilayer splitting effect is observed due to crossing of two bands (at K point). Interlayer coupling (\( t_{ \bot } \)) is found to be responsible for the splitting of quasi-particle peaks at each point of Brillouin zone. The influence of \( t_{ \bot } \) in trilayer graphene is prominent for AAA-stacking compared to ABC- and ABA-stacking. On the other hand, onsite Coulomb interaction reduces the trilayer splitting effect into bilayer splitting at Γ and M points of Brillouin zone and bilayer splitting into single peak spectral function at K point with a shifting of the peak away from Fermi level.

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Acknowledgments

One of the authors, S Kumar has been financially supported by the Ministry of Human Resources Development (MHRD), Government of India in form of Ph. D. fellowship.

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Authors and Affiliations

  1. Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, Saharanpur Campus, Saharanpur, 247001, India

    S. Kumar &  Ajay

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  1. S. Kumar
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Correspondence to S. Kumar.

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Kumar, S., Ajay Electronic spectrum of trilayer graphene. Indian J Phys 88, 813–829 (2014). https://doi.org/10.1007/s12648-014-0500-z

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