Large Berry phases in layered graphene

Abstract

Brillouin zones of graphene systems possess Dirac points, where band degeneracies occur. We study the variety of (and large magnitude) 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 non-concentric fashion. An experimentally accessible determination of excess Berry phases is proposed involving the Zitterbewegung of electronic current near an orthogonality point in adiabatic motion.

8 pages, 4 figures; slight addition and reference correction

References in corpus (9)

• Electric Field Effect in Atomically Thin Carbon Films
• Chiral Decomposition in the Electronic Structure of Graphene Multilayers
• Zitterbewegung of electronic wave packets in semiconductor nanostructures
• Transient Zitterbewegung of charge carriers in graphene and carbon nanotubes
• Role of the trigonal warping on the minimal conductivity of bilayer graphene
• Spin Gauge Fields: from Berry Phase to Topological Spin Transport and Hall Effects
• Electron energy spectrum and the Berry phase in graphite bilayer
• Spectrum of $\pi$-electrons in Graphene As a Macromolecule
• Particle-hole Hall effect in graphenelike structures