Spin-1/2 transverse XX chain with a correlated disorder: dynamics of the   transverse correlations
  We examine numerically the dynamics of zz correlations in the spin-1/2 isotropic XY chain with random intersite coupling and on-site transverse field that depends linearly on the neighbouring couplings (correlated off-diagonal and diagonal disorder). We discuss the changes in the frequency profiles of zz dynamic structure factor caused by disorder. 
Oleg Derzhko and Taras Krokhmalskii