Invisibility in one dimensional systems: a possible way to achieve it

TL;DR

This paper develops a mathematical framework using the Hubbard model to analyze how one-dimensional objects can be made nearly invisible by adjusting experimental conditions, with specific material parameters identified.

Contribution

It introduces a novel theoretical approach to achieve invisibility in 1D systems by calculating reflectivity reduction using the Hubbard model.

Findings

Identified material parameters where reflectivity tends to zero

Provided a mathematical basis for invisibility in 1D systems

Analyzed the influence of experimental conditions on visibility

Abstract

The aim of this paper is to provide the mathematical framework for analyzing the possibility of rendering one dimensional objects visible with difficulty and ultimately invisible,by changing the experimental conditions to which they are subdued. The calculation was performed using the Hubbard model,and it will be based on a recent expression for a particular class of Q1D organic salts. Two sets of material parameters for which the reflectivity of a 1D object tends to zero have been determined.