Effects of disorder on conductance through small interacting systems

TL;DR

This paper investigates how disorder affects electrical conductance in small, interacting quantum systems modeled by a 2D Hubbard cluster connected to leads, highlighting sensitivity near resonance states close to the Fermi energy.

Contribution

It provides a computational analysis of disorder effects on conductance in finite-sized Hubbard clusters, emphasizing the role of resonance states.

Findings

Conductance is highly sensitive to disorder near Fermi energy resonance states.

The study uses a second-order self-energy approximation at zero temperature.

Results are relevant for quantum dot superlattices and atomic nanonetworks.

Abstract

We study the effects of disorders on the transport through small interacting systems based on a two-dimensional Hubbard cluster of finite size connected to two noninteracting leads. This system can be regarded as a model for the superlattice of quantum dots or atomic network of the nanometer size. We calculate the conductance at T=0 using the order $U^2$ self-energy in an electron-hole symmetric case. The results show that the conductance is ensitive to the randomness when the resonance states are situated near the Fermi energy.