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Mobility edge of the two-dimensional Bose-Hubbard model

Andreas Geißler and Guido Pupillo
Phys. Rev. Research 2, 042037(R) – Published 8 December 2020
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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 multifractality 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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  • Received 8 December 2019
  • Revised 29 September 2020
  • Accepted 19 November 2020

DOI:https://doi.org/10.1103/PhysRevResearch.2.042037

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalStatistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Andreas Geißler1,2,* and Guido Pupillo1

  • 1icFRC, ISIS, University of Strasbourg and CNRS, 67000 Strasbourg, France
  • 2Institut für Theoretische Physik, Goethe-Universität, 60438 Frankfurt/Main, Germany

  • *andreas.geissler87@gmail.com

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Issue

Vol. 2, Iss. 4 — December - December 2020

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