Аннотация:
I will discuss simple microscopic realizations of the conformal and non-conformal defects
in 1+1 dimensional systems. First, I review the transport through the link defect in 1D
tight-binding fermionic chains. I show how to present full-counting statistics (FCS) in terms
of Fredholm determinants and how to use microscopic bosonization to get its large time
asymptotic. Knowing FCS allows us to address various physical quantities such as current
through the link, the shot noise, and the entanglement entropy. Further, I will do small
adjustments and turn the link defect into the conformal defect, which is characterized by a
constant transmission coefficient at all energies. I discuss how physics is changed in this case
and address the driven conformal defect. If time permits, I will discuss how the interaction
between fermions changes the picture.
