Invited talk at the Program Quantum Matter Beyond Ergodicity and Thermalization
Date:
Title: Semi-fractality and localization on a chiral Cayley tree
Abstract: I will discuss the problem of a quantum particle hopping on an infinite Cayley tree with broadly distributed hopping amplitudes and in the presence of chiral symmetry. The local density of states develops power-law tails, producing semi-fractal eigenstates with extensive support but multifractal higher moments. Tuning the hopping distribution drives localization through a semi-localized critical point where extended support coexists with localized higher moments.