Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling

2014/09/29 by Alexander L. Burin, Burin, Alexander L.
Physics and Astronomy · #Theoretical and Computational Physics #Spectroscopy and Quantum Chemical Studies #Random lasers and scattering media

paper · pdf · doi:10.48550/arxiv.1409.7990

Abstract

Many-body localization in a disordered system of interacting spins coupled by the long-range interaction 1/R^α is investigated combining analytical theory considering resonant interactions and a finite size scaling of exact numerical solutions with a number of spins N. The numerical results for a one-dimensional system are consistent with the general expectations of analytical theory for d-dimensional system including the absence of localization in the infinite system at α<2d and a universal scaling of a critical energy disordering W_c ∝ N^(2d-α)/(d). %The finite size effect on the interaction stimulated delocalization of energy in the ensemble of interacting two level systems in amorphous solids at low temperature is discussed.

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