Article thumbnail
Location of Repository

Fermi liquid behavior in the 2D Hubbard model at low temperatures

By G. Benfatto, A. Giuliani and V. Mastropietro

Abstract

We prove that the weak coupling 2D Hubbard model away from half filling is a Landau Fermi liquid up to exponentially small temperatures. In particular we show that the wave function renormalization is an order 1 constant and essentially temperature independent in the considered range of temperatures and that the interacting Fermi surface is a regular convex curve. This result is obtained by deriving a convergent expansion (which is not a power series) for the two point Schwinger function by Renormalization Group methods and proving at each order suitable power counting improvements due to the convexity of the interacting Fermi surface. Convergence follows from determinant bounds for the fermionic expectations

Topics: Settore MAT/07 - Fisica Matematica
Publisher: 'Springer Science and Business Media LLC'
Year: 2006
DOI identifier: 10.1007/s00023-006-0270-z
OAI identifier: oai:air.unimi.it:2434/222777
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://hdl.handle.net/2434/222... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.