Fractional Conductances in Strongly Interacting 1D Systems

Explore the intricacies of fractional conductances in strongly interacting one-dimensional systems with N channels in this 58-minute lecture by Victor Kagalovsky from PCS Institute for Basic Science. Delve into the conditions necessary for the coexistence of various perturbations, examining the constraints imposed by neutrality requirements and Haldane's formulation. Investigate how relevant perturbations open gaps and create new fields while preserving the Lagrangian form. Understand the relationship between conductance, initial channel count, and the number of compatible relevant perturbations. Discover how the interplay of these factors leads to a diverse range of possible fractional conductances in 1D systems.