This paper presents a comprehensive theoretical framework to quantify the robustness of topological transport against environmental perturbations, integrating disorder effects and decoherence through Anderson localization theory and Lindbladian dynamics.
Key findings
Develops a unified approach combining scattering theory, non-equilibrium Green’s functions, and open quantum system techniques.
Identifies critical thresholds for topological breakdown and elucidates the interplay between different perturbation mechanisms.
Proposes experimental protocols using quantum Hall and quantum spin Hall systems to validate theoretical predictions.
Limitations & open questions
The framework's applicability to other types of topological systems beyond quantum Hall and quantum spin Hall systems is not discussed.
The paper does not address the scalability of the proposed theoretical framework to more complex systems.