Electron energy spectrum and the Berry phase in a graphite bilayer

2007/09/30 by G. P. Mikitik, Yu. V. Sharlai, Yu. V. Sharlaı̆ · 1 citation
Materials Science · Physics and Astronomy · #2D Materials and Applications #Graphene research and applications #Topological Materials and Phenomena #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.77.113407

published as Phys. Rev. B 77, 113407 (2008) · 4 pages, 2 figures, submitted to Phys. Rev. B ; expanded

arxiv created 2007/12/18 · openalex publication_date 2008/03/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We emphasize that there exist four Dirac-type points in the electron energy spectrum of a graphite bilayer near the point K of its Brillouin zone. One of the Dirac points is at the point K, and three Dirac points lie nearby. Each of these three points generates the Berry phase \ensuremathπ, while the Dirac point at K gives the phase \ensuremath-\ensuremathπ. It is these four points that determine the Berry phase in the bilayer. If an electron orbit surrounds all these points, the Berry phase is equal to 2\ensuremathπ.

Citations

• Band Structure of Graphite
• Berry’s phase for energy bands in solids
• Band-contact lines in the electron energy spectrum of graphite
• Band Structure of Graphite and de Haas-van Alphen Effect
• Quantal phase factors accompanying adiabatic changes

Cited by

• Large Berry phases in layered graphene