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Journal Article

Many-body localization transition from flat-band fine tuning


Danieli,  Carlo
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Danieli, C., Andreanov, A., & Flach, S. (2022). Many-body localization transition from flat-band fine tuning. Physical Review B, 105(4): L041113. doi:10.1103/PhysRevB.105.L041113.

Cite as: https://hdl.handle.net/21.11116/0000-000A-191A-E
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.