Shell-Filling Effect in the Entanglement Entropies of Spinful Fermions

Andreas M. L\"auchli; Fabian H. L. Essler; Pasquale Calabrese

Shell-Filling Effect in the Entanglement Entropies of Spinful Fermions

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arxiv 1211.2474 v1 pith:M6Z74H3N submitted 2012-11-11 cond-mat.str-el quant-ph

Fabian H. L. Essler , Andreas M. Läuchli , Pasquale Calabrese This is my paper · ORCID

classification cond-mat.str-elquant-ph

keywords entropiesconformaleffectentanglementfieldshell-fillingtheoryadditional

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We consider the von Neumann and R\'enyi 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.

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