English

Universality of one-dimensional Fermi systems, II. The Luttinger liquid structure

Mathematical Physics 2015-06-15 v1 Strongly Correlated Electrons math.MP

Abstract

We complete the proof started in "Universality of one-dimensional Fermi systems, I." of the universal Luttinger liquid relations for a general model of spinning fermions on a lattice, by making use of the Ward Identities due to asymptotically emerging symmetries. This is done by introducing an effective model verifying extra symmetries and by relating its critical exponents to those of the fermion lattice gas by suitable fine tuning of the parameters.

Keywords

Cite

@article{arxiv.1303.3684,
  title  = {Universality of one-dimensional Fermi systems, II. The Luttinger liquid structure},
  author = {Giuseppe Benfatto and Pierluigi Falco and Vieri Mastropietro},
  journal= {arXiv preprint arXiv:1303.3684},
  year   = {2015}
}

Comments

58 pages, 15 figures