Exact asymptotic behavior of correlation functions for disordered spin-1/2 XXZ chains
arXiv:1205.2861 · doi:10.1016/j.nuclphysb.2012.06.019
Abstract
We consider an XXZ spin-1/2 chain in the presence of several types of disorder that do not break the XY symmetry of the system. We calculate the complete asymptotic form of the spin-correlation functions at zero temperature at the transition between liquid and disordered phase that occurs for a special value of anisotropy in the limit of small disorder. Apart from a universal power law decay of correlations, we find additional logarithmic corrections due to marginally irrelevant operator of disorder.
11 pages