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

2012/11/30 by Dan-Dan Su, Xi Dai, Ning-Hua Tong · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1142/s0217984913500346

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

arxiv created 2013/01/09 · arxiv updated 2015/06/12

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 ∝ αlog₂[(1/2-Dc)/Dc](U-Uc), with Dc the double occupancy at Uc and α< 0 being different on two sides of the transition.

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