Nonlinear Energy and Charge Transport in Silicates - Experiments and Semiclassical Models

Explore the phenomenon of hyperconductivity and its implications for charge transport in silicates through this comprehensive lecture. Delve into the concept of charge transport without an electric field, where energy and momentum are provided by swift particle impacts or radioactive decay. Examine the role of solitary waves in mediating charge transport, drawing an analogy to a surfer riding a wave without external propulsion. Investigate the experimental findings that have led to the study of exact solutions in Klein-Gordon systems, focusing on travelling solitary waves through spectral theory in the moving frame. Learn how these systems can be applied to describe charge transport using semiclassical tight-binding models. Discuss the challenges and limitations of approximate phenomenological models, including the discovery of exact breathers and polarobreathers. Analyze the difficulties encountered in more realistic physical models and parameters, and explore potential solutions such as chaobreathers. Gain insights into ongoing research in this field and its potential applications in understanding nonlinear energy and charge transport in silicates.