Annales Henri Poincaré

, Volume 7, Issue 5, pp 809–898 | Cite as

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

  • G. BenfattoEmail author
  • A. Giuliani
  • V. Mastropietro
Open Access
Original Paper


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.


Span Tree Fermi Surface Hubbard Model Wave Function Renormalization Trivial Vertex 
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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

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

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