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

By M. Koshino, E. McCann. 2009

208 citations recorded by the source corpus.

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 $N\ensuremath{\pi}$ 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 $N\ensuremath{\pi}$. 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.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/fb4ab2d4976378da6d421bbc66b783d46dc29631

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene (2018, background): “In particular, it should be differentiated from a microscopic C2 symmetry; if such a microscopic symmetry was present, it would combine with time-reversal symmetry and protect an odd number of Dirac points in the single-valley trilayer graphene band structure, which suffers from a parity anomaly [60”