Numerical simulations of Anderson localization and lazing in random systems
Project/Area Number |
17540356
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Mathematical physics/Fundamental condensed matter physics
|
Research Institution | Osaka University |
Principal Investigator |
SLEVIN K. M. Osaka University, 大学院・理学研究科, 准教授 (90294149)
|
Co-Investigator(Kenkyū-buntansha) |
OHTSUKI Tomi 上智大学, 理工学部, 教授 (50201976)
|
Project Period (FY) |
2005 – 2008
|
Project Status |
Completed (Fiscal Year 2008)
|
Budget Amount *help |
¥3,820,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥420,000)
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: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2005: ¥1,300,000 (Direct Cost: ¥1,300,000)
|
Keywords | Anderson Localisation / アンダーソン局在 / 金属絶縁体転移 / ランダムレージング / rare events / 量子干渉効果 / rate events |
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.
|
Report
(5 results)
Research Products
(48 results)