Sub-diffusion in the Anderson model on random regular graph

20 Dec 2019 De Tomasi Giuseppe Bera Soumya Scardicchio Antonello Khaymovich Ivan M.

We study the finite-time dynamics of an initially localized wave-packet in the Anderson model on the random regular graph (RRG). Considering the full probability distribution $\Pi(x,t)$ of a particle to be at some distance $x$ from the initial state at time $t$, we give evidence that $\Pi(x,t)$ spreads sub-diffusively over a range of disorder strengths, wider than a putative non-ergodic phase... (read more)

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Categories


  • DISORDERED SYSTEMS AND NEURAL NETWORKS
  • STATISTICAL MECHANICS
  • QUANTUM PHYSICS