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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Department of Applied Physics

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en

Pages

19

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Physical Review Research, Volume 5, issue 4, pp. 1-19

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.

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Keywords

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

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DOI

10.1103/PhysRevResearch.5.043215

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

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https://urn.fi/URN:NBN:fi:aalto-202401041160

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[article-cris] Perustieteiden korkeakoulu / SCI