Conductance properties of rough quantum wires with colored surface disorder

TL;DR

This study investigates how correlated surface roughness affects quantum conductance in nanowires, revealing that conductance can be controlled through engineered disorder patterns using scattering calculations and theoretical analysis.

Contribution

It provides new insights into the impact of colored surface disorder on quantum wire conductance, including cases beyond existing theoretical models.

Findings

Conductance is influenced by the structure factor of correlated disorder.

Colored surface roughness allows control over quantum wire conductance.

Theoretical relations between localization length and disorder structure are validated.

Abstract

Effects of correlated disorder on wave localization have attracted considerable interest. Motivated by the importance of studies of quantum transport in rough nanowires, here we examine how colored surface roughness impacts the conductance of two-dimensional quantum waveguides, using direct scattering calculations based on the reaction matrix approach. The computational results are analyzed in connection with a theoretical relation between the localization length and the structure factor of correlated disorder. We also examine and discuss several cases that have not been treated theoretically or are beyond the validity regime of available theories. Results indicate that conductance properties of quantum wires are controllable via colored surface disorder.