Local Entanglement Entropy at the Mott Metal-Insulator Transition in Infinite Dimensions

Abstract

We study the critical behavior of the single-site entanglement entropy S at the Mott metal-insulator transition in infinite-dimensional Hubbard model. For this model, the entanglement between a single site and rest of the lattice can be evaluated exactly, using the dynamical mean-field theory (DMFT). Both the numerical solution using exact diagonalization and the analytical one using two-site DMFT gives S-Sc \propto α\log_{2}[(1/2-Dc)/Dc](U-Uc), with Dc the double occupancy at Uc and α< 0 being different on two sides of the transition.

9 pages, 2 figures, accepted to Modern Physics Letters B

References in corpus (9)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Localizable Entanglement
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Anomalies in the Entanglement Properties of the Square Lattice Heisenberg Model
• Finite Size Scaling of Mutual Information: A Scalable Simulation
• Single-Site Entanglement of Fermions at a Quantum Phase Transition
• Thermodynamic singularities in the entanglement entropy at a 2D quantum critical point
• Entanglement and quantum phase transition in the asymmetric Hubbard chain: density-matrix renormalization group calculations

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