Report on 1907.02421v1

Abstract

In this work we study Wigner localization at very low densities by means of the exact diagonalization of the Hamiltonian.This yields numerically exact results.In particular, we study a quasi-one-dimensional system of two electrons confined to a ring.To characterize the Wigner localization we study several appropriate observables, namely the two-body reduced density matrix, the localization tensor and the particle-hole entropy.We show that the localization tensor is the most promising quantity to study Wigner localization since it accurately captures the transition from the delocalized to the localized state and it can be applied to systems of all sizes.

Locations

• arXiv (Cornell University) - PDF