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  • Letter
  • Open Access

Many-body localization transition from flat-band fine tuning

Carlo Danieli1, Alexei Andreanov2,3, and Sergej Flach2,3

  • 1Max Planck Institute for the Physics of Complex Systems, Dresden D-01187, Germany
  • 2Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon 34126, Korea
  • 3Basic Science Program, Korea University of Science and Technology (UST), Daejeon 34113, Korea

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Phys. Rev. B 105, L041113 – Published 28 January, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L041113

Abstract

Translationally invariant flatband Hamiltonians with interactions lead to a many-body localization transition. Our models are obtained from single-particle lattices hosting a mix of flat and dispersive bands, and equipped with fine-tuned two–body interactions. Fine-tuning of the interaction results in an extensive set of local conserved charges and a fragmentation of the Hilbert space into irreducible sectors. In each sector, the conserved charges originate from the flatband and act as an effective disorder inducing a transition between ergodic and localized phases upon variation of the interaction strength. Such fine-tuning is possible in arbitrary lattice dimensions and for any many-body statistics. We present computational evidence for this transition with spinless fermions.

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Outline

Information

Phys. Rev. B 105, L041113– Published 28 January, 2022
  • Received 22 April 2021
  • Revised 11 January 2022
  • Accepted 11 January 2022
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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. Open access publication funded by the Max Planck Society.

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