Berry phase and pseudospin winding number in bilayer graphene
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,...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Physical Society (APS)
2012
|
| Online Access: | http://hdl.handle.net/1721.1/69581 |
| _version_ | 1826192569195823104 |
|---|---|
| author | Marzari, Nicola Park, Cheol Hwan |
| author2 | Massachusetts Institute of Technology. Department of Materials Science and Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Materials Science and Engineering Marzari, Nicola Park, Cheol Hwan |
| author_sort | Marzari, Nicola |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T09:21:54Z |
| format | Article |
| id | mit-1721.1/69581 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:21:54Z |
| publishDate | 2012 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/695812022-09-30T14:16:53Z Berry phase and pseudospin winding number in bilayer graphene Marzari, Nicola Park, Cheol Hwan Massachusetts Institute of Technology. Department of Materials Science and Engineering Marzari, Nicola Park, Cheol Hwan 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. Intel Corporation 2012-03-02T19:50:22Z 2012-03-02T19:50:22Z 2011-11 2011-10 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/69581 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 en_US http://dx.doi.org/10.1103/PhysRevB.84.205440 Physical Review B 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. application/pdf American Physical Society (APS) APS |
| spellingShingle | Marzari, Nicola Park, Cheol Hwan Berry phase and pseudospin winding number in bilayer graphene |
| title | Berry phase and pseudospin winding number in bilayer graphene |
| title_full | Berry phase and pseudospin winding number in bilayer graphene |
| title_fullStr | Berry phase and pseudospin winding number in bilayer graphene |
| title_full_unstemmed | Berry phase and pseudospin winding number in bilayer graphene |
| title_short | Berry phase and pseudospin winding number in bilayer graphene |
| title_sort | berry phase and pseudospin winding number in bilayer graphene |
| url | http://hdl.handle.net/1721.1/69581 |
| work_keys_str_mv | AT marzarinicola berryphaseandpseudospinwindingnumberinbilayergraphene AT parkcheolhwan berryphaseandpseudospinwindingnumberinbilayergraphene |