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We present a neutron scattering study of stripe correlations measured on asingle crystal of La$_{1.875}$Ba$_{0.125}$CuO$_{4}$. Within thelow-temperature-tetragonal (LTT) phase, superlattice peaks indicative of spinand charge stripe order are observed below 50 K. For excitation energies$\hbar\omega\le12$ meV, we have characterized the magnetic excitations thatemerge from the incommensurate magnetic superlattice peaks. In the orderedstate, these excitations are similar to spin waves. Following these excitationsas a function of temperature, we find that there is relatively little change inthe {\bf Q}-integrated dynamical spin susceptibility for $\hbar\omega\sim10$meV as stripe order disappears and then as the structure transforms from LTT tothe low-temperature-orthorhombic (LTO) phase. The {\bf Q}-integrated signal atlower energies changes more dramatically through these transitions, as it mustin a transformation from an ordered to a disordered state. We argue that thecontinuous evolution through the transitions provides direct evidence that theincommensurate spin excitations in the disordered state are an indicator ofdynamical charge stripes. An interesting feature of the thermal evolution is avariation in the incommensurability of the magnetic scattering. Similarbehavior is observed in measurements on a single crystal ofLa$_{1.875}$Ba$_{0.075}$Sr$_{0.050}$CuO$_{4}$; maps of the scattered intensityin a region centered on the antiferromagnetic wave vector and measured at$\hbar\omega=4$ meV are well reproduced by a model of disordered stripes with atemperature-dependent mixture of stripe spacings. We discuss the relevance ofour results to understanding the magnetic excitations in cupratesuperconductors.Comment: 12 pages, 11 figures, 1 tabl

physical review. b, condensed matter and materials physics

Stripe order, depinning, and fluctuations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">La</mml:mi></mml:mrow><mml:mrow><mml:mn>1.875</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi mathvariant="normal">Ba</mml:mi></mml:mrow><mml:mrow><mml:mn>0.125</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi mathvariant="normal">CuO</mml:mi></mml:mrow><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:…

Stripe order, depinning, and fluctuations inLa1.875Ba0.125CuO4