2014/10/29 by Alexander L. Burin · 2 citations
Physics and Astronomy · #Anisotropy #Condensed matter physics #Delocalized electron #Materials science #Opinion Dynamics and Social Influence #Physics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Range (aeronautics) #Relaxation (psychology) #Scaling #Spins #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.91.094202
published as Phys. Rev. B 91, 094202 (2015) · 5 pages, 4 figures
arxiv created 2014/10/29 · openalex publication_date 2015/03/04 · arxiv updated 2015/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Many-body localization in a disordered system of interacting spins coupled by the long-range interaction 1/R^\ensuremathα is investigated combining analytical theory considering resonant interactions and a finite-size scaling of exact numerical solutions with number of spins N. The numerical results for a one-dimensional system are consistent with the general expectations of analytical theory for a d-dimensional system including the absence of localization in the infinite system at \ensuremathα<2d and a universal scaling of a critical energy disordering Wc\ensuremath∝N^\frac2d\ensuremath-\ensuremathαd.