Two-particles bounded states as a mechanism to weaken the Anderson localization in systems with structural disorder

Abstract

Abstract We study numerically the effect of the on-site Hubbard interaction U on the Anderson localization of two-interacting particles in a one-dimensional lattice with structural disorder. By solving the time-dependent Schrodinger equation to follow the time evolution of an initially localized two-electron state, we show the inter-particle interaction employing a non monotonic behavior on the Anderson localization. This non monotonic behavior is consistent with the results depicted by several many-body models in random potentials, which suggests an universal phenomenology for disordered systems. By studying the numerical solution of the time-independent Schrodinger equation, we reveal the origin of this non monotonic behavior: competitive aspects of the bounded and unbounded states of two-particle eigenstates. Ultimately, we show the disorder destroying the coherent Bloch oscillations induced by an electric field, even while particles have the proper interaction strength to correlate their motions.