Local Entanglement Entropy at the Mott Metal-Insulator Transition in Infinite Dimensions
Strongly Correlated Electrons
2015-06-12 v2
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 \alpha \log_{2}[(1/2-Dc)/Dc](U-Uc), with Dc the double occupancy at Uc and \alpha < 0 being different on two sides of the transition.
Keywords
Cite
@article{arxiv.1211.2083,
title = {Local Entanglement Entropy at the Mott Metal-Insulator Transition in Infinite Dimensions},
author = {Dan-Dan Su and Xi Dai and Ning-Hua Tong},
journal= {arXiv preprint arXiv:1211.2083},
year = {2015}
}
Comments
9 pages, 2 figures, accepted to Modern Physics Letters B