Anderson Localization and the Anderson Transition; A Simplified Demonstration of Quantum Localization

[Rat Wolf (ratwolf)]

https://github.com/ratwolfzero/Anderson-Transition

Anderson localization is a fundamental quantum phenomenon in which disorder in a material causes a particle's wave function to become confined to a limited region. This prevents the particle from spreading across the lattice, directly impacting transport properties such as electrical conductivity. First predicted by Philip W. Anderson in 1958, it remains a cornerstone in the study of disordered quantum systems.

Understanding localization provides insights into why certain materials act as insulators despite classical predictions and has applications in ultracold atoms, photonic crystals, and other wave systems.