Trigonal warping and Berry’s phase Npi in ABC-stacked multilayer graphene.

Koshino, Mikito and McCann, Edward (2009) Trigonal warping and Berry’s phase Npi in ABC-stacked multilayer graphene. Physical review B, 80 (16). p. 165409. ISSN 1550-235X

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Abstract

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 Nπ 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 Nπ. 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-nearestlayer 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.

Item Type: Journal Article
Journal or Publication Title: Physical review B
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 30807
Deposited By: Dr Edward McCann
Deposited On: 07 Dec 2009 09:59
Refereed?: Yes
Published?: Published
Last Modified: 18 Sep 2019 00:31
URI: https://eprints.lancs.ac.uk/id/eprint/30807

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