3 papers
quant-ph2025
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…
quant-ph2023
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…
cond-mat.other2023
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-…