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We study the response of spin and charge order in single crystals ofLa$_{1.875}$Ba$_{0.125}$CuO$_{4}$ to uniaxial stress, through $^{139}$Lanuclear magnetic resonance (NMR) and $^{63}$Cu nuclear quadrupole resonance(NQR), respectively. In unstressed La$_{1.875}$Ba$_{0.125}$CuO$_{4}$, thelow-temperature tetragonal structure onsets below $T_{\text{LTT}} = 57$K, whilethe charge order and the spin order transition temperatures are $T_\text{CO} =54$K and $T_\text{SO} = 37$K, respectively. We find that uniaxial stress alongthe [110] lattice direction strongly suppresses $T_\text{CO}$ and$T_{\text{SO}}$, but has little effect on $T_\text{LTT}$. In other words, understress along [110] a large splitting ($\approx 21$K) opens between$T_\text{CO}$ and $T_{\text{LTT}}$, showing that these transitions are nottightly linked. On the other hand, stress along [100] causes a slightsuppression of $T_\text{LTT}$ but has essentially no effect on $T_\text{CO}$and $T_{\text{SO}}$. Magnetic field $H$ along [110] stabilizes the spin order:the suppression of $T_\text{SO}$ under stress along [110] is slower under $H\parallel [110]$ than $H \parallel [001]$. We develop a Landau free energymodel and interpret our findings as an interplay of symmetry breaking termsdriven by the orientation of spins.

Uniaxial stress study of spin and charge stripes in La$_{1.875}$Ba$_{0.125}$CuO$_{4}$ by $^{139}$La NMR and $^{63}$Cu NQR