Data di Pubblicazione:
2016
Citazione:
Quantum Phase Transition in an Interacting Fermionic Chain / F. Bonetto, V. Mastropietro. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - 17:2(2016 Feb), pp. 459-495. [10.1007/s00023-014-0393-6]
Abstract:
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 the small divisors due to the vanishing Fermi velocity.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
statistical and nonlinear physics; nuclear and high energy physics; mathematical physics
Elenco autori:
F. Bonetto, V. Mastropietro
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