3 papers
math-ph2026
Anyons in the -flux phase of fermionic matter coupled to a -gauge field
Sven Bachmann, Leonardo Goller, Marcello Porta
We consider a system of weakly interacting spinful lattice fermions coupled to a dynamical gauge field. Using reflection positivity, we prove that the ground state l…
math-ph2026
Longitudinal conductivity at integer quantum Hall transitions
Giovanna Marcelli, Lorenzo Pigozzi, Marcello Porta
We consider a class of two-dimensional tight binding models displaying conical intersections of the Bloch bands at the Fermi level. The setting includes the case of generic transit…
math-ph2025
Stability of the -Flux Phase for Lattice Gauge Theory Coupled to Fermionic Matter
Leonardo Goller, Marcello Porta
We consider the two-dimensional Ising gauge theory coupled to fermionic matter. In absence of electric fields, we prove that, at half-filling, the ground state of…