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Article overview
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Many-body localization in the two dimensional Bose-Hubbard model | | Andreas Geißler
; Guido Pupillo
; | | Date: |
20 Sep 2019 | | Abstract: | When dealing with many-body localization, one of the hardest tasks is the
investigation in more than one spatial dimension and for bosons. We investigate
the disorder driven localization of the two dimensional Bose-Hubbard model by
evaluating the full low energy quasi-particle spectrum via a recently developed
fluctuation operator expansion. For any considered (local) interaction we find
a mobility edge that terminates at sufficiently large disorder strength,
implying the existence of a many-body localized phase. The finite size scaling
is consistent with a Beresinskii-Kosterlitz-Thouless scenario. A direct
comparison to a recent experiment yields an excellent match of the predicted
transition point and scaling of single particle correlations. | | Source: | arXiv, 1909.9247 | | Services: | Forum | Review | PDF | Favorites | |
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