Critical scaling at the Néel transition in an extended Hubbard model with Ising-like interaction
We examine the critical behavior of the von Neumann entanglement entropy and the staggered magnetization order parameter in an extended Hubbard chain across the Néel transition at half-filling. The order parameter and the entanglement entropy was calculated using density matrix renormalization group (DMRG) for periodic chains with length L = 32, 64, and 100. We demonstrate that the entanglement entropy can locate the quantum critical point. Finite size scaling analyses of the Néel order parameter and entanglement entropy give estimates for the critical exponents associated with these observables.