Superperturbation solver for quantum impurity models

¹  I. Institute for Theoretical Physics, University of Hamburg - 20355 Hamburg, Germany, EU
²  Institute for Molecules and Materials, Radboud University of Nijmegen - 6525 AJ Nijmegen, The Netherlands, EU
³  Department of Physics, Moscow State University - 119992 Moscow, Russia

Corresponding author: hartmut.hafermann@physnet.uni-hamburg.de

Received: 15 September 2008
Accepted: 19 December 2008

Abstract

We present a very efficient solver for the general Anderson impurity problem. It is based on the perturbation around a solution obtained from exact diagonalization, using a small number of bath sites. We formulate a perturbation theory which is valid for both weak and strong coupling and interpolates between these limits. Good agreement with numerically exact quantum Monte Carlo results is found for a single bath site over a wide range of parameters. In particular, the Kondo resonance in the intermediate-coupling regime is well reproduced for a single bath site and the lowest-order correction. The method is particularly suited for low temperatures, alleviates analytical continuation of imaginary time data due to the absence of statistical noise and can be generalized to obtain dynamical quantities directly on the real axis.