Stability of many-body localization in Kicked Ising model

Abstract

We study many-body localization (MBL) transition in disordered Kicked Ising model using a polynomially filtered exact diagonalization (POLFED) algorithm. We quantitatively demonstrate that finite size effects at the MBL transition in disordered Kicked Ising model are less severe than in random field XXZ spin chains widely studied in the context of MBL. This allows us to observe consistent signatures of the transition to MBL phase for a several indicators of ergodicity breaking. We show that an assumption a power-law divergence of the correlation length at the MBL transition yields a critical exponent \(\nu \approx 2\), consistent with the Harris criterion for 1D disordered systems.