Many-Body Localization in Translational Invariant Diamond Ladders with Flat Bands

Understand

The presence of flat bands is a source of localization in lattice systems.

• While flat bands are often unstable with respect to interactions between the particles, they can persist in certain cases.
• We consider a diamond ladder with transverse hopping that possesses such stable flat bands and show that many-body localization appears in the presence of interactions without quenched disorder.
• We numerically demonstrate that the eigenstate thermalization hypothesis is violated.