Transmission Properties of Branched Atomic Wires

TL;DR

This paper investigates how side branches in atomic wires affect their transmission properties using a renormalization-decimation approach, revealing sensitivity to system parameters and aiding in designing wires with specific behaviors.

Contribution

It introduces a method to simplify branched atomic wires into equivalent impurities for transmission analysis, providing new insights into their transport properties.

Findings

Transmission curves are highly sensitive to system parameters.

Resonance and anti-resonance features depend on branch configurations.

The method enables targeted design of atomic wires with desired transmission characteristics.

Abstract

The renormalization-decimation method is used to study the transmittivity of atomic wires, with one or more side branches attached at multiple sites. The rescaling process reduces all the branches, attached at an atomic site, to an equivalent impurity, from which the transmission probability can be calculated using the Lippmann-Schwinger equation. Numerical results show that the subsequent T(E) curves, where particular attention is paid to the numbers and locations of resonances and anti-resonances, are highly sensitive to the values of each system's key parameters. These findings provide insight into the design of wires with specific desired properties.