Journal
PHYSICAL REVIEW B
Volume 82, Issue 24, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.82.245313
Keywords
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Funding
- Marsden Fund Council from New-Zealand Government [MAU0702]
- Kavli Institute for Theoretical Physics China at the Chinese Academy of Sciences
- DOE BES [DE-AC02-06CH11357]
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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.
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