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.

arXiv comment4.5 pages, 2 figures

References in corpus (35)

• The density-matrix renormalization group
• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Entanglement in quantum critical phenomena
• Geometric and Renormalized Entropy in Conformal Field Theory
• Entanglement entropy and conformal field theory
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• Universality of Entropy Scaling in 1D Gap-less Models
• 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
• Renormalization and tensor product states in spin chains and lattices
• Theory of finite-entanglement scaling at one-dimensional quantum critical points
• Quasi-particle Statistics and Braiding from Ground State Entanglement
• Scaling of entanglement support for Matrix Product States
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Entanglement of low-energy excitations in Conformal Field Theory
• Parity effects in the scaling of block entanglement in gapless spin chains
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Low energy effective Hamiltonian for the XXZ spin chain
• 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 Correlation Amplitude for the S=1/2 Heisenberg Antiferromagnetic Chain
• Exactly solvable case of a one-dimensional Bose-Fermi mixture
• Completeness of the SO(4) Extended Bethe Ansatz for the One-Dimensional Hubbard Model
• Quantum Criticality and the Kondo Lattice
• Entanglement entropy of highly degenerate states and fractal dimensions
• Exact results for the 1D interacting mixed Bose-Fermi gas
• Estimating Quasi-long-range Order via Renyi Entropies
• Correlation functions of one-dimensional Bose-Fermi mixtures
• Finite-size corrections of the Entanglement Entropy of critical quantum chains
• Entangling power of permutation invariant quantum states
• Effects of Next-Nearest-Neighbor Repulsion on One-Dimensional Quarter-Filled Electron Systems
• Local spectral properties of Luttinger liquids: scaling versus nonuniversal energy scales

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• Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems
• Generalized entanglement entropies in two-dimensional conformal field theory
• Subsystem trace distance in low-lying states of $(1+1)$-dimensional conformal field theories
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
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• Spin, charge and $\eta$-spin separation in one-dimensional photo-doped Mott insulators
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• Universal Rényi Entropy of Quasiparticle Excitations
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory -- I. Single-particle states
• Bootstrapping Quantum Extremal Surfaces I: The Area Operator
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part II. Multi-particle states
• Subsystem distances between quasiparticle excited states
• Radiation, entanglement and islands from a boundary local quench
• Entanglement and boundary entropy in quantum spin chains with arbitrary direction of the boundary magnetic fields
• An entropy perspective on the thermal crossover in a fermionic Hubbard chain
• Numerical calculations on the relative entanglement entropy in critical spin chains
• Unusual Corrections to the Scaling of the Entanglement Entropy of the Excited states in Conformal Field Theory
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