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

TL;DR

This paper investigates pairing mechanisms in a strongly repulsive mixed-dimensional $t-J$ model, revealing a Feshbach resonance-like crossover from extended to tightly bound pairs, with implications for understanding unconventional superconductivity.

Contribution

It introduces a microscopic theory of pairing mediated by a Feshbach resonance in a doped mixD $t-J$ model, relevant to bilayer superconductors, supported by DMRG simulations.

Findings

Large binding energies at 30% doping

Crossover from extended to tightly bound pairs

Change in Fermi surface volume

Abstract

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.