Exact multi-electronic electron-concentration dependent ground-states for disordered two-dimensional two-band systems in presence of disordered hoppings and finite on-site random interactions

TL;DR

This paper presents exact ground-states for disordered 2D two-band systems with electron concentration dependence, revealing a localization-delocalization transition influenced by electron density, disorder, and interactions.

Contribution

It provides the first exact solutions for multi-electronic ground-states in disordered 2D systems with finite Hubbard interactions, highlighting their complex dependence on electron concentration.

Findings

Ground-states depend on electron concentration and disorder.

Ground-states exhibit localization-delocalization transition.

States are highly degenerated and paramagnetic.

Abstract

We report exact multielectronic ground-states dependent on electron concentration for quantum mechanical two-dimensional disordered two-band type many body models in the presence of disordered hoppings and disordered repulsive finite Hubbard interactions, in fixed lattice topology considered provided by Bravais lattices. The obtained ground-states loose their eigenfunction character for independent electron approximation, perturbatively are not connected to the non-interacting but disordered case, and describe a localization-delocalization transition driven by the electron concentration, being highly degenerated and paramagnetic.