Two and Three Dimensional Incommensurate Modulation in Optimally-Doped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$

J. P. Castellan, B. D. Gaulin, H. A. Dabkowska +5

X-ray scattering measurements on optimally-doped single crystal samples of the high temperature superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ reveal the presence of three distinct i…