Conductance of discrete bifurcated waveguides as three terminal junctions

TL;DR

This paper derives an expression for conductance in bifurcated discrete waveguides using a three-terminal Landauer-Buttiker model, revealing how conductance can be tuned by structural parameters, with applications in nanoscale wave transport.

Contribution

It introduces a novel conductance expression for bifurcated waveguides within a three-terminal framework, enabling control of flux leakage through structural manipulation.

Findings

Conductance can be tuned by the number of channels and lateral confinement.

The model applies to elastic, phononic, and electronic wave transport.

Temperature-dependent thermal conductance is discussed with graphical insights.

Abstract

An expression for the transmission matrix based conductance is provided for the propagation of scalar waves in certain bifurcated discrete waveguides using the paradigm of a three-terminal Landauer-Buttiker junction. It is found that the conductance across the terminals of bifurcated branches forming a sharp corner, interpreted as a controller of `leakage' flux, can be tuned by manipulating the number of channels and the type of lateral confinement. Natural applications in engineering and science arise in the context of nanoscale transport involving elastic, phononic, or electronic waves. In particular, the paper includes a discussion of temperature dependent thermal conductance, assuming only the contribution of out-of-plane phonons, along with some graphical illustrations.