Trigonal warping and Berry's phase Nπ in ABC-stacked multilayer graphene

被引:213
作者
Koshino, Mikito [1 ]
McCann, Edward [2 ]
机构
[1] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan
[2] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England
基金
英国工程与自然科学研究理事会;
关键词
FIELD;
D O I
10.1103/PhysRevB.80.165409
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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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页数:8
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