Many-body mobility edge due to symmetry-constrained dynamics and strong interactions

Understand

We provide numerical evidence combined with an analytical understanding of the many-body mobility edge for the strongly anisotropic spin-1/2 XXZ model in a random magnetic field.

• The system dynamics can be understood in terms of symmetry-constrained excitations about parent states with ferromagnetic and anti-ferromagnetic short range order.
• These two regimes yield vastly different dynamics producing an observable, tunable many-body mobility edge.
• We compute a set of diagnostic quantities that verify the presence of the mobility edge and discuss how weakly correlated disorder can tune the mobility edge further.