Parity and valley degeneracy in multilayer graphene

Mikito Koshino, Edward McCann

Research output: Contribution to journalArticlepeer-review

69 Citations (Scopus)

Abstract

We study spatial symmetry in general ABA -stacked multilayer graphene to illustrate how electronic spectra at the two valleys are related in a magnetic field. We show that the lattice of multilayers with an even number of layers as well as that of monolayer graphene satisfy spatial inversion symmetry, which rigorously guarantees valley degeneracy in the absence of time-reversal symmetry. A multilayer with an odd number of layers (three or more) lacks inversion symmetry, but there is another transformation imposing an approximate valley degeneracy, which arises because the low-energy Hamiltonian consists of separate monolayerlike and bilayerlike parts. We show that an external electrostatic potential generally breaks valley degeneracy in a magnetic field, in a markedly different manner in odd and even multilayers.

Original languageEnglish
Article number115315
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume81
Issue number11
DOIs
Publication statusPublished - 2010 Mar 12

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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