Doping effects in low dimensional antiferromagnets

The study of impurities in low-dimensional antiferromagnets has been a very active field in magnetism ever since the discovery of high-temperature superconductivity. One of the most dramatic effects is the appearance of large Knight shifts in a long range around non-magnetic impurities in an antiferromagnetic background. The dependence of the Knight shifts on distance and temperature visualizes the correlations in the system. In this work, we consider the Knight shifts around a single vacancy in the one- and two-dimensional Heisenberg model.