Delocalization in weakly coupled disordered wires: application to conjugated polymers.

Area of Science:

• Condensed matter physics
• Materials science
• Solid-state physics

Background:

• One-dimensional (1D) wires with minimal disorder are known insulators due to electron localization.
• Understanding electron delocalization is crucial for developing conductive materials.

Purpose of the Study:

• To investigate the effect of interwire coupling on the delocalization of 1D electron states.
• To derive conditions for electronic delocalization and coherent conductivity in coupled 1D wires.

Main Methods:

• Perturbation theoretic arguments for 3D state formation in coupled wires.
• Scaling analysis to determine microscopic conditions for delocalization.
• Modeling temperature-dependent DC conductivity.

Main Results:

• Developed practical expressions for microscopic conditions of electronic delocalization.
• Established a link between interwire coupling and coherent conductivity.
• Quantitatively explained temperature-dependent DC conductivity in conducting polymers.

Conclusions:

• Interwire coupling is a key factor in overcoming 1D electron localization.
• The model successfully explains conductivity behavior across the metal-insulator transition.
• Connects macroscopic conductivity measurements to microscopic material properties.