Shell-Filling Effect in the Entanglement Entropies of Spinful Fermions

Abstract

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.

4.5 pages, 2 figures

References in corpus (11)

• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Entanglement spectrum in one-dimensional systems
• Scaling of entanglement support for Matrix Product States
• Entanglement of low-energy excitations in Conformal Field Theory
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Unusual Corrections to Scaling in Entanglement Entropy
• Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
• Universal corrections to scaling for block entanglement in spin-1/2 XX chains
• Exact results for the 1D interacting mixed Bose-Fermi gas
• Correlation functions of one-dimensional Bose-Fermi mixtures

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