Speaker
Federico Bonetto
(Georgia Tech - Atlanta)
Description
We rigorously analyze the quantum phase transition between a
metallic and an
insulating phase in (non solvable) interacting spin chains or one
dimensional
fermionic systems. In particular, we prove the persistence of Luttinger
liquid behavior in the presence of an interaction even arbitrarily close to
the critical point, where the Fermi velocity vanishes and the two Fermi
points coalesce. The
analysis is based on two different multiscale analysis; the analysis of
the first regime provides gain factors which compensate exactly the small
divisors due to the vanishing Fermi velocity. This is a joint work with
Vieri Mastropietro.
Primary author
Federico Bonetto
(Georgia Tech - Atlanta)
