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Based on the density functional theory, we calculate the dependence of the band structures of bilaver ziezaff-edzed grapnene nanonooons(BZGNRs) upon ribbon width, interlayer distance and stacking styles.Unlike monolayer zigzag GNR, whose energy gap is always zero under different ribbon widths, the gap of BZGNR varies greathy with the ribbon width or the interlayer distance.The greatest gaps for AA-stacking and AB-stacking BZGNRs are about 0.22eV and 0.12eV, respectively, which implies that gap-tuning of AA-BZGNRs is more effective than that of AB-BZGNRs.These results present a way to tune the band structures of BZGNRs and also provide theoretical guidance for the fabrication of GNR-based piezoelectric devices.