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Topological aspects of graphene - Dirac fermions and the bulk-edge correspondence in magnetic fields
http://hdl.handle.net/2241/97689
http://hdl.handle.net/2241/97689624ce257-03cb-406d-8fbc-bb60eb5710e4
名前 / ファイル | ライセンス | アクション |
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EPJ-ST_148-1.pdf (537.4 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2007-12-11 | |||||
タイトル | ||||||
タイトル | Topological aspects of graphene - Dirac fermions and the bulk-edge correspondence in magnetic fields | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Hatsugai, Y.
× Hatsugai, Y.× Fukui, T.× Aoki, H. |
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著者別名 |
初貝, 安弘
× 初貝, 安弘 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We discuss topological aspects of electronic properties of graphene, including edge effects, with the tight-binding model on a honeycomb lattice and its extensions to show the following: (i) Appearance of the pairn of massless Dirac dispersions, which is the origin of anomalous properties including a peculiar quantum Hall effect (QHE), is not accidental to honeycomb, but is rather generic for a class of two-dimensional lattices that interpolate between square and !-flux lattices. Persistence of the peculiar QHE is interpreted as a topological stability. (ii) While we have the massless Dirac dispersion only around E = 0, the anomalous QHE associated with the Dirac cone unexpectedly persists for a wide range of the chemical potential. The range is bounded by van Hove singularities, at which we predict a transition to the ordinary fermion behavior acompanied by huge jumps in the QHE with a sign change. (iii) For edges we establish a coincidence between the quantum Hall effect in the bulk and the quantum Hall effect for the edge states, which is a manifestation of the topological bulk-edge correspondence. We have also explicitly shown that the E = 0 edge states in honeycomb in zero magnetic field persist in magnetic field. |
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書誌情報 |
The European physical journal. ST, special topics 巻 148, 号 1, p. 133-141, 発行日 2007-09 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1951-6355 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA12197316 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1140/epjst/e2007-00233-5 | |||||
権利 | ||||||
権利情報 | © 2007 Springer | |||||
著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | Springer Berlin | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2241/97689 | |||||
識別子タイプ | HDL | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf |