Shell-filling effect in the entanglement entropies of spinful fermions.
Shell-filling effect in the entanglement entropies of spinful fermions.
复制标题
自旋费米子纠缠熵中的壳填充效应。
DOI：
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发表时间：
2012
影响因子：
8.6
通讯作者：
P. Calabrese
中科院分区：
文献类型：
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作者：
F. Essler;A. Läuchli;P. Calabrese
我们考虑了一维四分之一填充的Hubbard模型的von Neumann和Rényi熵。我们观察到，在周期边界条件下，熵表现出对系统大小的意外依赖：对于L=4 mod 8，结果与基于共形场论的预期一致，而对于L=0 mod 8，出现了额外的贡献。我们用壳层填充效应来解释这一现象，并发展了一种共形场论方法来计算熵中的附加项。纠缠熵中类似的壳填充效应预计也会出现在更高的维度和其他多组分系统中。
We consider the von Neumann and Rényi entropies of the one-dimensional quarter-filled Hubbard model. We observe that for periodic boundary conditions the entropies exhibit an unexpected dependence on system size: for L=4 mod 8 the results are in agreement with expectations based on conformal field theory, while for L=0 mod 8 additional contributions arise. We explain this observation in terms of a shell-filling effect and develop a conformal field theory approach to calculate the extra term in the entropies. Similar shell-filling effects in entanglement entropies are expected to be present in higher dimensions and for other multicomponent systems.