Mobility edge of the two dimensional Bose-Hubbard model
arXiv:1909.09247 · doi:10.1103/PhysRevResearch.2.042037
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.
arXiv comment5+2 pages, 4 figures (added 12 pages Supplemental Material)
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