2016/03/31 by Ilia Khait, Snir Gazit, Norman Y. Yao +1 · 87 citations
Physics and Astronomy · #Chain (unit) #Condensed matter physics #Ferromagnetism #Heisenberg model #Opinion Dynamics and Social Influence #Physics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Thermodynamics #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.93.224205
published in Physical review. B./Physical review. B 93(22) (American Physical Society) · 7 pages, 8 figures
openalex publication_date 2016/06/17 · arxiv created 2016/06/18 · arxiv updated 2016/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the disordered Heisenberg spin chain, which exhibits many-body localization at strong disorder, in the weak to moderate disorder regime. A continued fraction calculation of dynamical correlations is devised, using a variational extrapolation of recurrents. Good convergence for the infinite chain limit is shown. We find that the local spin correlations decay at long times as C\ensuremath∼t^\ensuremath-\ensuremathβ, whereas the conductivity exhibits a low-frequency power law \ensuremathσ\ensuremath∼\ensuremathω^\ensuremathα. The exponents depict subdiffusive behavior \ensuremathβ<1/2,\phantom\rule0.28em0ex\ensuremathα>0 at all finite disorders and convergence to the scaling result \ensuremathα+2\ensuremathβ=1 at large disorders.