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5 novembre 2020: 1 événement

séminaire

  • Between one and many : Anderson localization of two interacting particles

    Jeudi 5 novembre 11:00-12:00 - Giuliano Orso - MPQ, Université de Paris

    Between one and many : Anderson localization of two interacting particles

    Résumé : I will review our recent work on the localization properties of two particles (either bosons or fermions with opposite spins) moving in a disordered lattice and coupled by contact interactions. This problem, first studied by D. Shepelyanski in the nineties, is at midway between single and many-body localization.
    Based on large-scale numerical simulations of the Anderson-Hubbard model in three dimensions, we reconstruct the complete phase diagram for the pair as a function of energy, disorder and interaction strength [1,2]. The phase diagram exhibits multiple Anderson transitions, reflecting the varying nature (molecular or scattering-like) of the pair states. For two-dimensional lattices, we show [3] that the pair localization length is exponentially enhanced by interactions, but remains always finite, in contrast to previous claims of interaction-induced delocalization transitions, which we show to be biased by finite-size effects.
    [1] F. Stellin and G. Orso, Phys. Rev. B 99, 224209 (2019)
    [2] F. Stellin and G. Orso, Phys. Rev. Research 2, 033501 (2020)
    [3] F. Stellin and G. Orso, Phys. Rev. B 102, 144201 (2020)

    Lieu : ONLINE

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