2001/03/01 by Kim Louis, J. V. Alvarez, Claudius Gros · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat
paper · pdf · doi:10.1103/physrevb.64.113106
published as Phys. Rev. B64, 113106 (2001) · 5 pages, 4 Postscript figures
arxiv created 2001/03/01 · openalex publication_date 2001/08/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive the one-loop renormalization equations for the shift in the Fermi wave vectors 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\ensuremath-v2)U2, where U is the Hubbard U. Our results apply to the Hubbard ladder and to the t1\ensuremath-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 wave vector at the Mott-Hubbard transition are discussed.