Abstract
Materials with broken inversion symmetry are of great interest for their exotic electronic properties but are relatively rare. We show here that even if a material is inversion-symmetric in the bulk form, in epitaxial thin films of the same compound the crystallographic unit cell can be quite asymmetric. To demonstrate this, we have used atomic layer-by-layer molecular beam epitaxy to synthesize La${}_{2\ensuremath{-}x}$Sr${}_{x}$CuO${}_{4}$ films with Sr-dopant atoms deposited above, below, or on both sides of each CuO${}_{2}$ layer. Surface x-ray diffraction experiments analyzed by the Coherent Bragg Rod Analysis (COBRA) method have been carried out in combination with energy-differential diffraction measurements to determine whether the actual Sr distribution coincided with the nominal one (that would be expected in absence of La-Sr interdiffusion). The differential approach minimizes the systematic errors, and the combination with COBRA is potentially capable to determine the concentration of atomic species on a monoatomic layer-by-layer basis. The results show that the concentration of Sr in La/Sr layers just above the CuO${}_{2}$ layers is much larger than in layers just below them, irrespective of the deposition sequence, and drastically breaking the inversion symmetry.
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