In one-dimensional lattices with open boundaries, I will present an edge-induced `fractal' structure high up in the energy specturm, and associated out-of-equilibrium consequences.
The non-equilibrium consequences are a hierarchy of 'edge-locking' effects. I will show versions of the phenomenon for three classic condensed-matter models: (1) the Bose-Hubbard model; (2) the spinless fermion model with nearest-neighbor repulsion; (3) the XXZ (Heiseberg-Ising) spin chain. |