A Single Impurity in a Luttinger Liquid: How It “Cuts” the Chain

@article{Meden2001ASI,
  title={A Single Impurity in a Luttinger Liquid: How It “Cuts” the Chain},
  author={V Meden and Walter Metzner and Ulrich Schollw{\"o}ck and Kurt Sch{\"o}nhammer},
  journal={Journal of Low Temperature Physics},
  year={2001},
  volume={126},
  pages={1147-1163}
}
Using a fermionic renormalization group method we present a simple real space picture of the strong influence an impurity has on the electronic properties of a Luttinger liquid. We compute the flow of the renormalized impurity potential for a single impurity over the entire energy range - from the microscopic scale of a lattice-fermion model down to the low-energy limit. We confirm that low energy properties close to the impurity are as if the chain is cut in two pieces with open boundary… 

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