191 citations · 513 across the 22 of their papers we have counts for
22 papers
Quantum chemistry for solids made simple on the Clifford torus
Amer Alrakik, Gian Luigi Bendazzoli, Stefano Evangelisti +1
We present a general theory to treat periodic solids with quantum-chemistry methods. It relies on two main developments: 1) the modeling of a solid as a Clifford torus which is a t…
The Emergence of the Hexagonal Lattice in Two-Dimensional Wigner Fragments
Miguel Escobar Azor, Amer Alrakik, Louan de Bentzmann +4
At very low density, the electrons in a uniform electron gas spontaneously break symmetry and form a crystalline lattice called a Wigner crystal. But which type of crystal will the…
Solution to the Thomson problem for Clifford tori with an application to Wigner crystals
Amer Alrakik, Miguel Escobar Azor, Véronique Brumas +3
In its original version, the Thomson problem consists of the search for the minimum-energy configuration of a set of point-like electrons that are confined to the surface of a two-…
Mapping of Hückel Zigzag Carbon Nanotubes onto independent Polyene chains: application to periodic Nanotubes
Grégoire François, Celestino Angeli, Gian Luigi Bendazzoli +3
The electric polarizability and the spread of the total position tensors are used to characterize the metallic vs insulator nature of large (finite) systems. Finite clusters are us…
The Wigner localization of interacting electrons in a one-dimensional harmonic potential
Xabier Telleria-Allika, Miguel Escobar Azor, Grégoire François +5
approaches. We demonstrate that the Wigner regime can be reached using small values of the confinement parameter. To obtain physical insight in our results we analyze them with a s…
A unique one-body position operator for periodic systems
Stefano Evangelisti, Faten Abu-Shoga, Celestino Angeli +2
In this work we proof that the one-body position operator for periodic systems that we have recently proposed [Phys. Rev. B 99, 205144] is unique modulo a phase factor and an addit…
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…
A simple position operator for periodic systems
Emilia Aragao Valença, Diego Moreno, Stefano Battaglia +5
We present a position operator that is compatible with periodic boundary conditions (PBC). It is a one-body operator that can be applied in calculations of correlated materials by…
Quantum Correlations in Field Theory and Integrable Systems
Stefano Evangelisti
In this PhD thesis we investigate some properties of one-dimensional quantum systems, focusing on two important aspects of integrable models: Their entanglement properties at equil…
Modular invariance in the gapped XYZ spin 1/2 chain
Elisa Ercolessi, Stefano Evangelisti, Fabio Franchini +1
We show that the elliptic parametrization of the coupling constants of the quantum XYZ spin chain can be analytically extended outside of their natural domain, to cover the whole p…
Semi-classical theory for quantum quenches in the O(3) non-linear sigma model
Stefano Evangelisti
We use the semi-classical approach to study the non-equilibrium dynamics of the O(3) non-linear sigma model. For a class of quenches defined in the text, we obtain the order parame…
Dynamical Correlations after a Quantum Quench
Fabian H. L. Essler, Stefano Evangelisti, Maurizio Fagotti
In many integrable models static (equal time) correlation functions of local observables after a quantum quench relax to stationary values, which are described by a generalized Gib…
Correlation Length and Unusual Corrections to the Entanglement Entropy
Elisa Ercolessi, Stefano Evangelisti, Fabio Franchini +1
We study analytically the corrections to the leading terms in the Renyi entropy of a massive lattice theory, showing significant deviations from naive expectations. In particular,…
Essential singularity in the Renyi entanglement entropy of the one-dimensional XYZ spin-1/2 chain
Elisa Ercolessi, Stefano Evangelisti, Fabio Franchini +1
We study the Renyi entropy of the one-dimensional XYZ spin-1/2 chain in the entirety of its phase diagram. The model has several quantum critical lines corresponding to rotated XXZ…
Introduction to Quantum Integrability
Anastasia Doikou, Stefano Evangelisti, Giovanni Feverati +1
In this article we review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. The associated algebras are e…
Exact entanglement entropy of the XYZ model and its sine-Gordon limit
Elisa Ercolessi, Stefano Evangelisti, Francesco Ravanini
We obtain the exact expression for the Von Neumann entropy for an infinite bipartition of the XYZ model, by connecting its reduced density matrix to the corner transfer matrix of t…
Density matrix renormalization group study of dimerization of the Pariser-Parr-Pople model of polyacetilene
G. L. Bendazzoli, S. Evangelisti, G. Fano +2
We apply the DMRG method to the Pariser-Parr-Pople hamiltonian and investigate the onset of dimerization. We deduce the parameters of the hopping term and the contribution of the s…