Universal properties of quantum network models
| Project/Area Number |
18540382
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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 |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Sophia University |
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Principal Investigator |
OHTSUKI Tomi (TOMI Ohatsuki) Sophia University, 理工学部, 教授 (50201976)
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| Co-Investigator(Kenkyū-buntansha) |
SLEVIN K.M. (KEITH Martin Slevin) 大阪大学, 大学院・理学系研究科, 准教授 (90294149)
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| Co-Investigator(Renkei-kenkyūsha) |
SLEVIN Keith 大阪大学, 大学院・理学系研究科, 准教授 (90294149)
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| Project Period (FY) |
2006 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥4,130,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥630,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2006: ¥1,400,000 (Direct Cost: ¥1,400,000)
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| Keywords | 量子ホール効果 / 量子ネットワークモデル / アンダーソン転移 / 量子スピンホール効果 / 普遍性 / 有限サイズスケーリング / 量子ホール転移 / 局在-非局在転移 / 臨界指数 / ネットワークモデル / トポロジカル絶縁体 / 物性基礎論 / 量子相転移 / アンダーソン局在 / 金属絶縁体転移 / Chalker-Coddington模型 / 透過固有値 / ポイントコンタクト伝導 |
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| Research Abstract |
We have studied in detail the transport properties of the Chalker-Coddington model focusing on its universal quantum transport properties. The critical exponent has been determined with high precision. A new model describing the perfectly conducting channel has been proposed and its transport properties are clarified. We have also studied the quantum spin Hall effect on the basis of a quantum network model that incorporates the spin-orbit interaction, and the transport properties of disordered quantum spin Hall systems have been studied.
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Report
(6 results)
Research Products
(37 results)
