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We show that, due to the Dzyaloshinskii-Moriya and the XY anisotropies, thedisordered diagonal spin spiral in the insulating La$_{2-x}$Sr$_x$CuO$_4$generates a diagonal charge density wave (CDW) with the wave vector twice ofthat of the spin spiral. The amplitude of the CDW depends on values of theanisotropies, the doping level, and on the density of states at the chemicalpotential. Based on available experimental data we estimate that for 4% dopingthe amplitude of CDW is about 1/10 of the doping level. We believe that thismechanism explains the CDW observed recently in Zn-codoped detwinnedLa$_{2-x}$Sr$_x$CuO$_4$.

Diagonal charge modulation in the insulating La$_{2-x}$Sr$_x$CuO$_4$