Two-dimensional many-body-localized systems with an on-site abelian symmetry are shown to carry a topological index in the (generalized) third cohomology group of the symmetry group, robust to local perturbations.
Mobility edge of the two dimensional Bose-Hubbard model
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abstract
We analyze the disorder driven localization of the two dimensional Bose-Hubbard model by evaluating the full low energy quasiparticle spectrum via a recently developed fluctuation operator expansion method. For any strength of the local interaction we find a mobility edge that displays an approximately exponential decay with increasing disorder strength. We determine the finite-size scaling collapse and exponents at this critical line finding that the localization of excitations is characterized by weak multi-fractality and a thermal-like critical gap ratio. A direct comparison to a recent experiment yields an excellent match of the predicted finite-size transition point and scaling of single particle correlations.
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cond-mat.dis-nn 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
Two-dimensional many-body-localized systems with an on-site abelian symmetry are shown to carry a topological index in the (generalized) third cohomology group of the symmetry group, robust to local perturbations.