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Competition between Charge- and Spin-Density-Wave Order and Superconductivity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>La</mml:mi></mml:mrow><mml:mrow><mml:mn>1.875</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>Ba</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>1</mml:mn><mml:mn>2</mml:mn><mml:mn>5</mml:mn><mml:mo>−</mml:mo><mml:mi mathvariant="italic">x</mml:mi></…
We have performed a series of elastic neutron scattering measurements on $1/8$-hole doped ${\mathrm{La}}_{1.875}\ensuremath{-}{\mathrm{Ba}}_{0.125\ensuremath{-}x}{\mathrm{Sr}}_{x}{\mathrm{CuO}}_{4}$ single crystals with $x\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0.05$, 0.06, 0.075, and 0.085. Both charge-density-wave (CDW) and spin-density-wave orders are found to develop simultaneously below the structural transition temperature between the low-temperature orthorhombic (LTO) and low-temperature tetragonal (LTT) or low-temperature less-orthorhombic …