Continuous-time Quantum Monte Carlo Approach for Impurity Anderson Models with Phonon-assisted Hybridizations

摘要

We develop a continuous-time quantum Monte Carlo method based on astrong-coupling expansion for Anderson impurity models with phonon-assistedhybridizations for arbitrary number of phonon modes. As a benchmark, weinvestigate the two-channel Anderson model with a single phonon, andnumerically demonstrate that an SO(5) susceptibility composed oflocalized-electron charge and phonon-parity operators diverges logarithmicallyat the non-Fermi liquid critical point in the model, which verifies thepredictions by the boundary conformal field theory[K. Hattori: Phys. Rev. B{\bf 85} (2012) 214411].