Localization in the Ground State of an Interacting Quasi-Periodic Fermionic Chain

@article{Mastropietro2016LocalizationIT,
  title={Localization in the Ground State of an Interacting Quasi-Periodic Fermionic Chain},
  author={Vieri Mastropietro},
  journal={Communications in Mathematical Physics},
  year={2016},
  volume={342},
  pages={217-250}
}
  • V. Mastropietro
  • Published 2 November 2014
  • Physics
  • Communications in Mathematical Physics
We consider a one dimensional many body fermionic system with a large incommensurate external potential and a weak short range interaction. We prove, for chemical potentials in a gap of the non interacting spectrum, that the zero temperature thermodynamical correlations are exponentially decaying for large distances, with a decay rate much larger than the gap; this indicates the persistence of localization in the interacting ground state. The analysis is based on the renormalization group, and… Expand

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