Numerical Evidence for Many-Body Localization in Two and Three Dimensions

Eli Chertkov1, Benjamin Villalonga1, Bryan K Clark1

  • 1Institute for Condensed Matter Theory and IQUIST and Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.

Summary

Many-body localization (MBL) and its associated conserved quantities, ℓ-bits, are explored in higher dimensions. A new algorithm confirms MBL in 2D and 3D systems, suggesting transitions in these models.

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