Two-length-scale problem in critical scattering: Narrow-component line shape

Abstract
High-resolution studies of critical scattering indicate the presence of two different length scales in a variety of structural and magnetic phase transitions. In a previous work the anomalous scaling behavior of the narrow component in magnetic systems (Ho and Tb) has been attributed to long-ranged correlated quenched disorder in the near surface region. Here we point out that this disorder can also give rise to a line shape steeper than a Lorentzian, in agreement with experimental observations.