Magnon-Assisted Superconductivity in a Frustrated Infinite-$U$ Triangular Lattice

We investigate superconductivity emerging from magnon-assisted pairing in a kinetically frustrated infinite-$U$ triangular lattice with both nearest-neighbor ($t_{1}$) and next-nearest-neighbor ($t_{2}$) hopping amplitudes under an external magnetic field. By gradually lowering the field from the fully polarized regime, we identify the formation of $2h$--$1m$ bound states, corresponding to $s$-wave three-body bound states. The magnetization curve exhibits an extended plateau when the number of magnons equals half the number of holes, indicating that these composite Cooper pairs form a stable liquid. Density-matrix renormalization group (DMRG) calculations reveal quasi-long-range superconducting correlations associated with the $2h$--$1m$ bound states. This phase is further characterized by critical charge-density correlations and exponentially decaying spin-spin correlations. Together, these results point to a Bose--Einstein condensate--like superconducting state of composite Cooper pairs stabilized by kinetic-energy frustration.