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The origin of the pseudogap behavior, found in many high-$T_c$superconductors, remains one of the greatest puzzles in condensed matterphysics. One possible mechanism is fermionic incoherence, which near a quantumcritical point allows pair formation but suppresses superconductivity.Employing quantum Monte Carlo simulations of a model of itinerant fermionscoupled to ferromagnetic spin fluctuations, represented by a quantum rotor, wereport numerical evidence of pseudogap behavior, emerging from pairingfluctuations in a quantum-critical non-Fermi liquid. Specifically, we observeenhanced pairing fluctuations and a partial gap opening in the fermionicspectrum. However, the system remains non-superconducting until reaching a muchlower temperature. In the pseudogap regime the system displays a "gap-filling"rather than "gap-closing" behavior, consistent with experimental observations.Our results provide the first unambiguous lattice model realization of apseudogap state in a strongly correlated system, driven by superconductingfluctuations.

Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations