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Primordial black holes (PBHs) generated by gravitational collapse of largeprimordial overdensities can be a fraction of the observed dark matter. In thispaper, we introduce a mechanism to produce a large peak in the primordial powerspectrum (PPS) in two-field inflationary models characterized by two stages ofinflation based on a large non-canonical kinetic coupling. This mechanism isgeneric to several two-field inflationary models, due to a temporary tachyonicinstability of the isocurvature perturbations at the transition between the twostages of inflation. We numerically compute the primordial perturbations fromlargest scales to the small scales corresponding to that of PBHs using anextension of BINGO (BI-spectra and Non-Gaussianity Operator). Moreover wenumerically compute the stochastic background of gravitational waves (SBGW)produced by second order scalar perturbations within frequencies ranging fromnano-Hz to KHz that covers the observational scales corresponding to PulsarTiming Arrays, Square Kilometer Array to that of Einstein telescope. We discussthe prospect of its detection by these proposed and upcoming gravitationalwaves experiments.

Generating PBHs and small-scale GWs in two-field models of inflation