2008 Fiscal Year Final Research Report
Numerical simulations of Anderson localization and lazing in random systems
| Project/Area Number |
17540356
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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 | Osaka University |
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Principal Investigator |
SLEVIN K. M. Osaka University, 大学院・理学研究科, 准教授 (90294149)
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| Co-Investigator(Kenkyū-buntansha) |
OHTSUKI Tomi 上智大学, 理工学部, 教授 (50201976)
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| Project Period (FY) |
2005 – 2008
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| Keywords | Anderson Localisation |
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| Research Abstract |
Numerical simulations of the Anderson transition and Anderson localization in 3D, 2D and fractal systems were performed. We confirmed that the lower critical dimension of the Anderson transition for Hamiltonians with symplectic symmetry is less than two. We obtained a precise estimate of the critical exponent for the Anderson transition in the integer Quantum Hall Effect.
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