2013 Fiscal Year Final Research Report
Effects of disorder on transport properties of low-dimensional electronic systems with unconventional band structure
| Project/Area Number |
22540336
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Condensed matter physics I
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| Research Institution | Toho University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
OHTSUKI Tomi 上智大学, 理工学部, 教授 (50201976)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Keywords | グラフェン / ディラック電子 / ランダウ準位 / カイラル対称性 |
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| Research Abstract |
Transport properties of two-dimensional massless Dirac fermions, which is realized in graphene and in certain organic metals, in a magnetic field has been investigated both numerically and analytically. We have found that the n=0 Landau level, which is a hallmark of the graphene quantum Hall effect, is surprisingly robust against disorder respecting the chiral symmetry. This robustness appears as a anomalous sharpness of the n=0 Landau level leading to the unconventional criticality of the quantum Hall transition. We have also generalized the chiral symmetry to encompass the generic tilted Dirac fermions and show that the generalized chiral symmetry indeed protects the n=0 Landau level against disorder. These findings suggest that the unconventional quantum Hall transition can be realized in a wide range of systems such as cold atoms in an optical lattice.
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[Presentation] Chiral symmetry in Graphene2010
Author(s)
Y. Hatsugai, T. Kawarabayashi, T. Morimoto and H. Aoki
Organizer
Graphene week 2010
Place of Presentation
College Park, Maryland, USA(poster presentation)
Year and Date
20100419-23
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