Signatures of many-body localization of quasiparticles in a flat band superconductor
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2023-12-08
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en
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19
1-19
1-19
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PHYSICAL REVIEW RESEARCH, Volume 5, issue 4
Abstract
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.Description
Keywords
Condensed Matter - Superconductivity, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Quantum Gases, Condensed Matter - Strongly Correlated Electrons
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Citation
Swaminathan, K, Tadros, P & Peotta, S 2023, ' Signatures of many-body localization of quasiparticles in a flat band superconductor ', PHYSICAL REVIEW RESEARCH, vol. 5, no. 4, 043215, pp. 1-19 . https://doi.org/10.1103/PhysRevResearch.5.043215