Invariant expansion for the trigonal band structure of graphene

Details Invariant expansion for the trigonal band structure of graphene Invariant expansion for the trigonal band structure of graphene

2008-07-25

arxiv.org/abs/0807.4204v3

Phys. Rev. B 82, 245313 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 1 figure; expanded version with more details and additional results

Scientific paper

10.1103/PhysRevB.82.245313

We present a symmetry analysis of the trigonal band structure in graphene, elucidating the transformational properties of the underlying basis functions and the crucial role of time-reversal invariance. Group theory is used to derive an invariant expansion of the Hamiltonian for electron states near the K points of the graphene Brillouin zone. Besides yielding the characteristic k-linear dispersion and higher-order corrections to it, this approach enables the systematic incorporation of all terms arising from external electric and magnetic fields, strain, and spin-orbit coupling up to any desired order. Several new contributions are found, in addition to reproducing results obtained previously within tight-binding calculations. Physical ramifications of these new terms are discussed.

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