Signatures of many-body localization of quasiparticles in a flat band superconductor

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We construct a class of exact eigenstates of the Hamiltonian obtained by projecting the Hubbard interaction term onto the flat band subspace of a generic lattice model. These exact eigenstates are many-body states in which an arbitrary number of localized fermionic particles coexist with a sea of mobile Cooper pairs with zero momentum. By considering the dice lattice as an example, we provide evidence that these exact eigenstates are, in fact, a manifestation of local integrals of motions of the projected Hamiltonian. In particular, the spin and particle densities retain memory of the initial state for a very long time if localized unpaired particles are present at the beginning of the time evolution. This shows that many-body localization of quasiparticles and superfluidity can coexist even in generic two-dimensional lattice models with flat bands, for which it is not known how to construct local conserved quantities. Our results open interesting perspectives on the old condensed-matter problem of the interplay between superconductivity and localization.
Original languageEnglish
Article number043215
Pages (from-to)1-19
Number of pages19
Issue number4
Publication statusPublished - 8 Dec 2023
MoE publication typeA1 Journal article-refereed


  • Condensed Matter - Superconductivity
  • Condensed Matter - Disordered Systems and Neural Networks
  • Condensed Matter - Quantum Gases
  • Condensed Matter - Strongly Correlated Electrons


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