Impact of geometry on many-body localization

Abstract

The impact of geometry on many-body localization (MBL) is studied on simple, exemplary systems amenable to exact diagonalization treatment. The crossover between ergodic and MBL phase for uniform as well as quasirandom disorder is analyzed using energy-level statistics. It is observed that the transition to many-body localized phase is correlated with the number of nearest coupled neighbors. The crossover from extended to localized systems is approximately described by the so called plasma model.