Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains

The asymptotic dynamical correlation functions in one-dimensional spin chains are described by power-laws. The corresponding exponents characterize different bulk and boundary critical behavior. We present novel results for the logarithmic contribution to the boundary correlations of an isotropic Heisenberg chain. The exponent of the logarithm, $\lambda=1$, is derived using a renormalization group technique. We confirm our analytical results by comparing with numerical quantum Monte Carlo data.
Comment: 15 pages with 2 figures. Final published version. For more information see https://www.physik.uni-kl.de/eggert/papers/index.html