Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-07-28
Annales H. Poincare 7 5 809-898 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
66 pages, 10 figures
Scientific paper
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.
Benfatto Giuseppe
Giuliani Alessandro
Mastropietro Vieri
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