2017/12/31 by Jakub Janarek, Dominique Delande, Jakub Zakrzewski · 1 citation
Mathematics · Physics and Astronomy · #Binary number #Distribution (mathematics) #Mathematical analysis #Mathematics #Normal distribution #Opinion Dynamics and Social Influence #Physics #Quantum many-body systems #Standard deviation #Statistical physics #Statistics #Tensor decomposition and applications #cond-mat.dis-nn #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevb.97.155133
published as Phys. Rev. B 97, 155133 (2018) · version accepted in Phys. Rev. B
arxiv created 2018/04/11 · openalex publication_date 2018/04/16 · arxiv updated 2018/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using exact diagonalization technique, we investigate the many-body localization phenomenon in the 1D Heisenberg chain comparing several disorder models. In particular we consider a family of discrete distributions of disorder strengths and compare the results with the standard uniform distribution. Both statistical properties of energy levels and the long time nonergodic behavior are discussed. The results for different discrete distributions are essentially identical to those obtained for the continuous distribution, provided the disorder strength is rescaled by the standard deviation of the random distribution. Only for the binary distribution significant deviations are observed.