Two-parameter landscape of transport efficiency in mesoscopic networks: transitions from the Braess to normal regimes without a congestion relaxation

TL;DR

This study explores the quantum Braess paradox in mesoscopic networks, revealing how congestion and system smoothness influence the coexistence of paradoxical and normal transport regimes.

Contribution

It introduces a two-parameter framework to analyze the transition between Braess and normal regimes in quantum transport without congestion relaxation.

Findings

Braess paradox occurs in quantum mesoscopic networks.

Normal and paradoxical regimes coexist under same congestion conditions.

Transport behavior depends on system topology and parameters.

Abstract

This paper deals with the Braess paradox in quantum transport. The scattering matrix formalism is used to consider a two-parameter family of mesoscopic conductors with the topology of the classical Braess transport network. The study investigates the mutual influence of the congestion and smoothness of the system on the Braess behavior. Both the Braess paradox and normal transport regimes coexist within the two-parametric landscape under the same congestion.