Hierarchy of edge-locking effects in 1D lattice models

Masud Haque

Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

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.

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