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The checkerboard pattern in the differential conductance maps on underdopedcuprates appears when the STM is placed above the O-sites in the outermostCuO$_{\text{2}}$-plane. In this position the interference between tunnelingpaths through the apical ions above the neighboring Cu-sites leads to anasymmetric weighting of final states in the two antinodal regions of${\boldsymbol{k}}$-space. The form of the asymmetry in the differentialconductance spectra in the checkerboard pattern favors asymmetry in thelocalization length rather than a nematic displacement as the underlyingorigin.

On the Origin of the Checkerboard Pattern in Scanning Tunneling Microscopy Maps of Underdoped Cuprate Superconductors