Invariant expansion for the trigonal band structure of graphene

Article

关键词: MASSLESS DIRAC FERMIONS;    GRAPHITE;    SEMICONDUCTORS;    CYCLOTRON;    RESONANCE;    PHASE;   

DOI  :  10.1103/PhysRevB.82.245313

来源: SCIE

【 摘 要 】

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 oder 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.

【 授权许可】

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