2010 Fiscal Year Final Research Report
Localization and quantum Hall effect in two-dimensional carbon material graphene
| Project/Area Number |
20740167
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Condensed matter physics I
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| Research Institution | Tohoku University |
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Principal Investigator |
NOMURA Kentaro Tohoku University, 強相関理論研究チーム, 基幹研究所研究員 (00455776)
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| Project Period (FY) |
2008 – 2010
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| Keywords | グラフェン / ディラック電子 / 量子ホール効果 / トポロジカル絶縁体 |
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| Research Abstract |
The quantum Hall effects in grpahene have been theoretically studied. Based on the Dirac fermion model and the scaling analysis, it was found that the quantum Hall phases can survive even in the weak magnetic field limit. In a strong magnetic field, the ground state and the Kosterlitz-Thouless transition were clarified. In the doped regime, the fractional quantum Hall states are realized. The gaps at a number of filling factors are computed.
The phase structure of a topological insulator which is one of related material of graphene was also studied.
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