期刊
PHYSICAL REVIEW B
卷 80, 期 16, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.80.165409
关键词
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资金
- EPSRC [EP/E063519/1]
- Royal Society
- Daiwa Anglo-Japanese Foundation
- Ministry of Education, Culture, Sports, Science and Technology, Japan
- EPSRC [EP/E063519/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/E063519/1] Funding Source: researchfish
The electronic band structure of ABC-stacked multilayer graphene is studied within an effective mass approximation. The electron and hole bands touching at zero energy support chiral quasiparticles characterized by Berry's phase N pi for N layers, generalizing the low-energy band structure of monolayer and bilayer graphene. We investigate the trigonal-warping deformation of the energy bands and show that the Lifshitz transition, in which the Fermi circle breaks up into separate parts at low energy, reflects Berry's phase N pi. It is particularly prominent in trilayers, N=3, with the Fermi circle breaking into three parts at a relatively large energy that is related to next-nearest-layer coupling. For N=3, we study the effects of electrostatic potentials which vary in the stacking direction, and find that a perpendicular electric field, as well as opening an energy gap, strongly enhances the trigonal-warping effect. In magnetic fields, the N=3 Lifshitz transition is manifested as a coalescence of Landau levels into triply degenerate levels.
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