Universality of One-Dimensional Fermi Systems, I. Response Functions and Critical Exponents

@article{Benfatto2014UniversalityOO,
  title={Universality of One-Dimensional Fermi Systems, I. Response Functions and Critical Exponents},
  author={Giuseppe Trifoglio Benfatto and Pierluigi Falco and Vieri Mastropietro},
  journal={Communications in Mathematical Physics},
  year={2014},
  volume={330},
  pages={153-215}
}
  • Giuseppe Trifoglio Benfatto, Pierluigi Falco, Vieri Mastropietro
  • Published 2014
  • Physics, Mathematics
  • Communications in Mathematical Physics
  • The critical behavior of one-dimensional interacting Fermi systems is expected to display universality features, called Luttinger liquid behavior. Critical exponents and certain thermodynamic quantities are expected to be related among each other by model-independent formulas. We establish such relations, the proof of which has represented a challenging mathematical problem, for a general model of spinning fermions on a one dimensional lattice; interactions are short ranged and satisfy a… CONTINUE READING

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