191 citations · 205 across the 5 of their papers we have counts for
9 papers
Clifford Boundary Conditions for Periodic Systems: the Madelung Constant of Cubic Crystals in 1, 2 and 3 Dimensions
Nicolas Tavernier, Gian Luigi Bendazzoli, Véronique Brumas +2
In this work we demonstrate the robustness of a real-space approach for the treatment of infinite systems described with periodic boundary conditions that we have recently proposed…
Wigner localization in two and three dimensions: an \emph{ab initio} approach
Miguel Escobar Azor, Estefania Alves, Stefano Evangelisti +1
In this work we investigate the Wigner localization of two interacting electrons at very low density in two and three dimensions using the exact diagonalization of the many-body Ha…
The localization spread and polarizability of rings and periodic chains
Celestino Angeli, Gian Luigi Bendazzoli, Stefano Evangelisti +1
The localization spread gives a criterion to decide between metallic versus insulating behaviour of a material. It is defined as the second moment cumulant of the many-body positio…
Accurate ground-state energies of Wigner crystals from a simple real-space approach
Estefania Alves, Gian Luigi Bendazzoli, Stefano Evangelisti +1
We propose a simple and efficient real-space approach for the calculation of the ground-state energies of Wigner crystals in 1, 2, and 3 dimensions. To be precise, we calculate the…
Clifford boundary conditions: a simple direct-sum evaluation of Madelung constants
Nicolas Tavernier, Gian Luigi Bendazzoli, Véronique Brumas +2
We propose a simple direct-sum method for the efficient evaluation of lattice sums in periodic solids. It consists of two main principles: i) the creation of a supercell that has t…
A Wigner molecule at extremely low densities: a numerically exact study
Miguel Escobar Azor, Léa Brooke, Stefano Evangelisti +4
In this work we investigate Wigner localization at very low densities by means of the exact diagonalization of the Hamiltonian. This yields numerically exact results. In particular…