Study of the charge correlation function in one-dimensional Hubbard heterostructures

TL;DR

This paper explores how to manipulate physical properties of one-dimensional Hubbard heterostructures by varying local potentials and parameters, using the density matrix renormalization group to analyze charge correlations and Luttinger liquid behavior.

Contribution

It introduces a detailed analysis of charge correlation functions in inhomogeneous Hubbard systems, demonstrating how spatial and chemical modulations affect their physical properties.

Findings

Charge correlation functions are sensitive to heterostructure configurations.

Manipulating local potentials can tune Luttinger liquid parameters.

Engineered heterostructures can realize desired electronic behaviors.

Abstract

We study inhomogeneous one-dimensional Hubbard systems using the density matrix renormalization group method. Different heterostructures are investigated whose configuration is modeled varying parameters like the on-site Coulomb potential and introducing local confining potentials. We investigate their Luttinger liquid properties through the parameter K_rho, which characterizes the decay of the density-density correlation function at large distances. Our main goal is the investigation of possible realization of engineered materials and the ability to manipulate physical properties by choosing an appropriate spatial and/or chemical modulation.