Fermi surface renormalization in Hubbard ladders
Abstract
We derive the one-loop renormalization equations for the shift in the Fermi-wavevectors for one-dimensional interacting models with four Fermi-points (two left and two right movers) and two Fermi velocities v1 and v2. We find the shift to be proportional to (v1-v2)U2, where U is the Hubbard-U. Our results apply to the Hubbard ladder and to the t1-t2 Hubbard model. The Fermi-sea with fewer particles tends to empty. The stability of a saddle point due to shifts of the Fermi-energy and the shift of the Fermi-wavevector at the Mott-Hubbard transition are discussed.
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