English

Generalized Wilson Chain for solving multichannel quantum impurity problems

Strongly Correlated Electrons 2014-03-14 v2

Abstract

The Numerical Renormalization Group is used to solve quantum impurity problems, which describe magnetic impurities in metals, nanodevices, and correlated materials within DMFT. Here we present a simple generalization of the Wilson Chain, which improves the scaling of computational cost with the number of channels/bands, bringing new problems within reach. The method is applied to calculate the t-matrix of the three-channel Kondo model at T=0, which shows universal crossovers near non-Fermi liquid critical points. A non-integrable three-impurity problem with three bands is also studied, revealing a rich phase diagram and novel screening/overscreening mechanisms.

Keywords

Cite

@article{arxiv.1308.1903,
  title  = {Generalized Wilson Chain for solving multichannel quantum impurity problems},
  author = {Andrew K. Mitchell and Martin R. Galpin and Samuel Wilson-Fletcher and David E. Logan and Ralf Bulla},
  journal= {arXiv preprint arXiv:1308.1903},
  year   = {2014}
}

Comments

5 pages + 5 pages supplementary material

R2 v1 2026-06-22T01:06:20.034Z