Pairing dome from an emergent Feshbach resonance in a strongly repulsive bilayer model

A key to understanding unconventional superconductivity lies in unraveling the pairing mechanism of mobile charge carriers in doped antiferromagnets, yielding an effective attraction between charges even in the presence of strong repulsive Coulomb interactions. Here, we study pairing in a mixed-dime...

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Bibliographic Details
Published in:arXiv.org 2024-03
Main Authors: Lange, Hannah, Homeier, Lukas, Demler, Eugene, Schollwöck, Ulrich, Bohrdt, Annabelle, Grusdt, Fabian
Format: Article
Language:English
Subjects:
Antiferromagnetism
Attraction
Binding energy
Current carriers
Density
Domes
Doping
Magnets
Open channels
Simulators
Superconductors
Unconventional superconductivity
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Summary:A key to understanding unconventional superconductivity lies in unraveling the pairing mechanism of mobile charge carriers in doped antiferromagnets, yielding an effective attraction between charges even in the presence of strong repulsive Coulomb interactions. Here, we study pairing in a mixed-dimensional (mixD) \(t-J\) model, featuring robust binding energies -- despite dominant repulsive interactions -- that are strongly enhanced in the finite doping regime. The single and coupled mixD ladders we study, corresponding to bilayers of width \(w\leq 2\), feature a crossover from tightly bound pairs of holes (closed channel) at small repulsion, to more spatially extended, correlated pairs of individual holes (open channel) at large repulsion. We derive an effective model for the latter, in which the attraction is mediated by the closed channel, in analogy to atomic Feshbach resonances. Using density matrix renormalization group (DMRG) simulations we reveal a dome of large binding energies at around \(30\%\) doping, accompanied by a change of the Fermi surface volume and a crossover from extended to tightly bound hole pairs. Our work provides a microscopic theory of pairing in the doped mixD system with dominant repulsion, closely related to bilayer, Ni-based superconductors, and our predictions can be tested in state-of-the-art quantum simulators.
ISSN:2331-8422