期刊
PHYSICAL REVIEW B
卷 84, 期 13, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.84.134209
关键词
-
资金
- EPSRC [EP/F32323/1, EP/C007042/1, EP/D065135/1]
- Spanish government [FIS2009-07880]
- University of Osaka
- EPSRC [EP/D065135/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/C007042/1, EP/D065135/1] Funding Source: researchfish
We describe a new multifractal finite-size scaling (MFSS) procedure and its application to the Anderson localization-delocalization transition. MFSS permits the simultaneous estimation of the critical parameters and the multifractal exponents. Simulations of system sizes up to L-3 = 120(3) and involving nearly 10(6) independent wave functions have yielded unprecedented precision for the critical disorder W-c = 16.530(16.524,16.536) and the critical exponent nu = 1.590(1.579,1.602). We find that the multifractal exponents Lambda(q) exhibit a previously predicted symmetry relation and we confirm the nonparabolic nature of their spectrum. We explain in detail the MFSS procedure first introduced in our Letter [Phys. Rev. Lett. 105, 046403 (2010)] and, in addition, we show how to take account of correlations in the simulation data. The MFSS procedure is applicable to any continuous phase transition exhibiting multifractal fluctuations in the vicinity of the critical point.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据