I will present our current understanding of this novel phase transition as obtained from a strong-randomness real-space renormalization group (RG) approach. This is for the case of isolated one-dimensional quantum many-body systems with quenched randomness and short-range interactions. The RG flow is qualitatively like the famous Kosterlitz-Thouless RG, but is different in some important features, thus making a new universality class of phase transition. Time permitting, I will then try to set this in the context of the much larger set of transitions and crossovers found in other cases of this transition, such as varying the dimension of space, random vs nonrandom, and changing the range of the interactions.
Ref: Morningstar, Huse and Imbrie, Phys. Rev. B 102, 125134 (2020)
