Transport through quasi-one-dimensional wires with correlated disorder

Area of Science:

• Condensed matter physics
• Mesoscopic physics

Background:

• Transport properties of quasi-one-dimensional (Q1D) systems are crucial for understanding electron behavior in nanostructures.
• Disorder, particularly long-range correlations, significantly impacts these properties, yet lacks comprehensive theoretical treatment.
• Previous studies often simplified disorder models, limiting applicability to complex systems.

Purpose of the Study:

• To investigate the role of long-range correlations in the disorder of Q1D wires.
• To develop and validate a theoretical approach for describing transport properties in such systems.
• To analyze the impact of different disorder types on the transmission coefficient.

Main Methods:

• Analytical treatment for weak, stratified disorder in Q1D wires.
• Development of a semi-analytical approach for systems with non-identical disorder but common binary correlators.
• Numerical simulations to validate the proposed semi-analytical method.

Main Results:

• Analytical description of transport properties is possible for weak, stratified disorder.
• A novel semi-analytical approach effectively captures the total transmission coefficient for a specific class of correlated disorder.
• Numerical data strongly support the validity and effectiveness of the developed semi-analytical method.

Conclusions:

• Long-range correlations in disorder play a critical role in Q1D transport properties.
• The proposed semi-analytical approach offers a powerful tool for studying complex disordered Q1D systems.
• This work advances the understanding of electron transport in disordered nanoscopic wires.