Universal and non-universal features of the multifractality exponents of critical wavefunctions
Universal and non-universal features of the multifractality exponents of critical wavefunctions
复制标题
临界波函数多重分形指数的普遍和非普遍特征
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Y. Fyodorov
中科院分区：
文献类型：
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作者：
I. Rushkin;Alexander Ossipov;Y. Fyodorov
在弱多重分形区域，我们微扰地计算了临界随机矩阵系综中波函数的多重分形谱。我们表明，在领先的顺序的频谱是普遍的，而高阶校正模型特定的。在幂律和超度规随机矩阵系综中得到了反常维数的显式结果。
We calculate perturbatively the multifractality spectrum of wavefunctions in critical random matrix ensembles in the regime of weak multifractality. We show that in the leading order the spectrum is universal, while the higher order corrections are model-specific. Explicit results for the anomalous dimensions are derived in the power-law and ultrametric random matrix ensembles.