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 on combinations of fermionic cluster expansion techniques, renormalization group and lattice Ward identities.
Universality of charge transport in weakly interacting fermionic systems / Giuliani, A; Mastropietro, V; Porta, M. - (2015). (Intervento presentato al convegno XVIII International Congress on Mathematical Physics tenutosi a Santiago del Cile nel 27 Luglio 2015 - 1 Agosto 2015).
Universality of charge transport in weakly interacting fermionic systems
Porta M
2015-01-01
Abstract
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 on combinations of fermionic cluster expansion techniques, renormalization group and lattice Ward identities.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
