Berry phase and pseudospin winding number in bilayer graphene
Name
Park-2011-Berry phase and pseudospin winding number.pdf
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218.47 KB
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Checksum (MD5)
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Author(s)
Marzari, Nicola
Park, Cheol Hwan
Date Issued
November 2011
Journal
Physical Review B
Publisher
American Physical Society (APS)
Citation
Park, Cheol-Hwan, and Nicola Marzari. “Berry Phase and Pseudospin Winding Number in Bilayer Graphene.” Physical Review B 84.20 (2011): n. pag. Web. 2 Mar. 2012. © 2011 American Physical Society
Version
Final published version
Abstract
Ever since the novel quantum Hall effect in bilayer graphene was discovered, and explained by a Berry phase of 2π [ K. S. Novoselov et al. Nat. Phys. 2 177 (2006)], it has been widely accepted that the low-energy electronic wave function in this system is described by a nontrivial Berry phase of 2π, 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 2π), and (ii) what is actually observed in the quantum Hall measurements is not the absolute value of the Berry phase but the pseudospin winding number.
MIT Department
Massachusetts Institute of Technology. Department of Materials Science and Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.84.205440
