Annales Henri Poincaré

, Volume 7, Issue 5, pp 809–898

Fermi Liquid Behavior in the 2D Hubbard Model at Low Temperatures

Open AccessOriginal Paper

DOI: 10.1007/s00023-006-0270-z

Cite this article as:
Benfatto, G., Giuliani, A. & Mastropietro, V. Ann. Henri Poincaré (2006) 7: 809. doi:10.1007/s00023-006-0270-z


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.

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© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Mathematics DepartmentUniversity of Rome “Tor Vergata”RomaItaly
  2. 2.Physics DepartmentPrinceton UniversityPrincetonUSA