We have also checked the effect of TMM adsorption on ZGNRs by varying the width of ZGNRH. We have deposited the TMM on the 4ZGNRH and 12ZGNRH in the same initial geometric configurations (discussed in detail in Sections S2 and S4 of Supporting Information). All the TMM-adsorbed ZGNR systems are energetically stable and the chemisorption of TMM can break the spin degeneracy of pristine ZGNRs resulting in spin-polarized transmission spectra. The transmission dips corresponding to the position of the density of states of TMM are also observed in TMM adsorbed 4ZGNRH and 12ZGNRH. Transmission dips are more prominent for smaller-width ZGNRs (4ZGNRH) and become less prominent for larger-width ZGNRs (12ZGNRH). Thus the adsorption of TMM on ZGNRs can break the spin degeneracy of pristine ZGNRs resulting in spin-polarized transmission spectra which can result in high spin-filtering efficiency.