Recursive approach to study transport properties of atomic wire

TL;DR

This paper introduces a recursive real-space method using Landauer's formula to analyze atomic wire transport properties, demonstrating its effectiveness on a model system and identifying key parameters influencing conductance oscillations.

Contribution

A novel recursive approach based on real-space block recursion combined with Landauer's formula for studying atomic wire conductance.

Findings

Method successfully applied to a model system with a single band tight-binding Hamiltonian.

Identified parameters controlling the width and phase of conductance oscillations.

Results comparable with existing studies on Na-atom wires.

Abstract

In this study, we propose a recursive approach to study the transport properties of atomic wires. It is based upon a real-space block-recursion technique with Landauer's formula being used to express the conductance as a scattering problem. To illustrate the method, we have applied it on a model system described by a single band tight-binding Hamiltonian. Results of our calculation therefore may be compared with the reported results on Na-atom wire. Upon tuning the tight-binding parameters, we can distinctly identify the controlling parameters responsible to decide the width as well as the phase of odd-even oscillations in the conductance.