Density and spacings for the energy levels of quadratic Fermi operators
Density and spacings for the energy levels of quadratic Fermi operators
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DOI：
10.1063/1.4984942
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发表时间：
2016-09
影响因子：
1.3
通讯作者：
F. D. Cunden;A. Maltsev;F. Mezzadri
中科院分区：
文献类型：
--
作者：
F. D. Cunden;A. Maltsev;F. Mezzadri
工作提出了一个证明的收敛的密度的能级高斯分布的一类广泛的二次型的费米算子。这个一般结果也适用于无序的二次算子，例如，包含随机系数。数值研究了展开谱的间距分布。对于一般系统，水平间距的行为是泊松过程中的间距。水平聚类在无序状态下持续存在。
The work presents a proof of convergence of the density of energy levels to a Gaussian distribution for a wide class of quadratic forms of Fermi operators. This general result applies also to quadratic operators with disorder, e.g., containing random coefficients. The spacing distribution of the unfolded spectrum is investigated numerically. For generic systems, the level spacings behave as the spacings in a Poisson process. Level clustering persists in the presence of disorder.