Berry Phase and Pseudospin Winding Number in Bilayer Graphene

Abstract

Ever since the novel quantum Hall effect in bilayer graphene was discovered, and explained by a Berry phase of 2pi [K. S. Novoselov et al., "Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene", Nature Phys. 2, 177 (2006)], it has been widely accepted that the low-energy electronic wavefunction in this system is described by a non-trivial Berry phase of 2pi, different from the zero phase of a conventional two-dimensional electron gas. Here, we show that (i) the relevant Berry phase for bilayer graphene is not different from that for a conventional two-dimensional electron gas (as expected, given that Berry phase is only meaningful modulo 2pi) and that (ii) what is actually observed in the quantum Hall measurements is not the absolute value of the Berry phase but the pseudospin winding number.

6 pages, 3 figures, published version

References in corpus (9)

• The electronic properties of graphene
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene
• Multicomponent fractional quantum Hall effect in graphene
• Orbital magnetization in periodic insulators
• Chiral Decomposition in the Electronic Structure of Graphene Multilayers
• The experimental observation of quantum Hall effect of l = 3 chiral charge carriers in trilayer graphene
• Direct measurement of quantum phases in graphene via photoemission spectroscopy
• Novel multiple-band superconductor SrPt2As2

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