MAGGIE – The magnetic ordering of low-dimensional Wigner crystals

Research project selected under the 2022 call for proposals

The project MAGGIE aims to elucidate the magnetic properties of finite Wigner systems containing several electrons. These systems are characterized by the localization of electrons due to the strong Coulomb interaction at low average density. We will focus on low-dimensional systems, and, in particular, the one-dimensional case for which recently a Wigner-like phase was observed. In order to achieve this goal we will combine first principles’ methods from quantum chemistry with spin models from quantum physics. We will use accurate ab initio methods such as full configuration interaction to study the magnetization profile of small one-dimensional systems. We will extract coupling constants from these calculations and use them in the spin models. This will enable us to study the magnetization profile of much larger systems. Finally, we will investigate the effect of the transverse confining potential which is known to influence the localization profile of the system.