We review some of the recent progress on the study of entropy of entanglement in many-
body quantum systems. Emphasis is placed on the scaling properties of entropy for one …

Entanglement is nowadays considered as a key quantity for the understanding of
correlations, transport properties and phase transitions in composite quantum systems, and …

We review research on a number of situations where a quantum impurity or a physical
boundary has an interesting effect on entanglement entropy. Our focus is mainly on impurity …

Density-functional theory (DFT) and model Hamiltonians are conceptually distinct
approaches to the many-particle problem, which can be developed and applied …

We present two methods of calculating the spatial entanglement of an interacting electron
system within the framework of density-functional theory. These methods are tested on the …

In this work we propose an artificial neural network functional to the ground-state energy of
fermionic interacting particles in homogeneous chains described by the Hubbard model. Our …

A metal can be driven to an insulating phase through distinct mechanisms. A possible way is
via the Coulomb interaction, which then defines the Mott metal-insulator transition (MIT) …

We investigate quantum correlations in the ground state of noninteracting Fermi gases of N
particles trapped by an external space-dependent harmonic potential, in any dimension. For …

Real materials always contain, to some extent, randomness in the form of defects or
irregularities. It is known since the seminal work of Anderson that randomness can drive a …

Simple analytical parameterizations for the ground-state energy of the one-dimensional
repulsive Hubbard model are developed. The charge dependence of energy is …