Large Berry phases in layered graphene

2008/06/30 by R. Englman, T. Vértesi, Tamás Vértesi
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.78.205311

published as Phys. Rev. B 78, 205311 (2008) · 8 pages, 4 figures; slight addition and reference correction

openalex publication_date 2008/11/11 · arxiv created 2008/11/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Brillouin zones of graphene systems possess Dirac points, where band degeneracies occur. We study the variety of (and large magnitude of) phases that the electronic states can acquire when a uniform time-dependent electric field carries the electrons around one or more Dirac points in a nonconcentric fashion. An experimentally accessible determination of excess Berry phases is proposed involving the Zitterbewegung of electronic current near an orthogonality point in adiabatic motion.

Citations

• Band Structure of Graphite
• Unconventional quantum Hall effect and Berry’s phase of 2π in bilayer graphene
• Zitterbewegung of electrons in graphene in a magnetic field
• Chiral decomposition in the electronic structure of graphene multilayers
• Electric Field Effect in Atomically Thin Carbon Films
• Electron energy spectrum and the Berry phase in a graphite bilayer
• Band Structure of Graphite and de Haas-van Alphen Effect
• Quantal phase factors accompanying adiabatic changes
• Zitterbewegungof Electronic Wave Packets in III-V Zinc-Blende Semiconductor Quantum Wells
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Spin gauge fields: From Berry phase to topological spin transport and Hall effects