• Corpus ID: 88509415

Universality of charge transport in weakly interacting fermionic systems

@article{Giuliani2016UniversalityOC,
  title={Universality of charge transport in weakly interacting fermionic systems},
  author={Alessandro Giuliani and Vieri Mastropietro and Marcello Porta},
  journal={arXiv: Mathematical Physics},
  year={2016}
}
We review two rigorous results on the transport properties of weakly interacting fermionic systems on $2d$ lattices, in the linear response regime. First, we discuss the universality of the longitudinal conductivity for interacting graphene. Then, we focus on the transverse conductivity of general weakly interacting gapped fermionic systems, and we establish its universality. This last result proves the stability of the integer quantum Hall effect against weak interactions. The proofs are based… 

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