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Ab initio calculation of the density response function within the random-phase approximation is presented for lithium, berillium, and boron freestanding metal monolayers ͑ML's͒. Although the monolayers manifest common features related to their reduced dimensionality, their different band structures lead to significant modifications in the density response function. Besides the common intraband and interband collective excitations, the beryllium ML also presents characteristic features ofdoi:10.1103/physrevb.67.245402 fatcat:oklqmutbrnemjiqlokbyc2y3kq