Many-body Localization in Disordered 1D Hubbard Model with Infinite Onsite Repulsion

Explore a comprehensive lecture on many-body localization in disordered one-dimensional Hubbard models with infinite onsite repulsion. Delve into the factorization of charge and spin degrees of freedom in the t-0 model for two-component fermions, and discover how this allows for the elimination of spin degrees of freedom in both open and periodic boundary conditions. Examine the analytical treatment of disorder effects and understand how different types of disorder significantly impact the nature of emerging phases. Compare spin-independent disorder, which can be treated as a single-particle problem with Anderson localization, to spin-dependent disorder, realized as a random magnetic field, leading to many-body delocalization. Gain insights into recent numerical findings and develop an extended physical understanding of this complex quantum system.