Fermi surface renormalization in Hubbard ladders

@article{Louis2001FermiSR,
  title={Fermi surface renormalization in Hubbard ladders},
  author={Kim Louis and Jos{\'e} V. {\'A}lvarez and Claudius Gros},
  journal={Physical Review B},
  year={2001},
  volume={64},
  pages={113106}
}
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 ${v}_{1}$ and ${v}_{2}.$ We find the shift to be proportional to ${(v}_{1}\ensuremath{-}{v}_{2}{)U}^{2},$ where U is the Hubbard U. Our results apply to the Hubbard ladder and to the ${t}_{1}\ensuremath{-}{t}_{2}$ Hubbard model. The Fermi sea with fewer particles tends to empty. The… 
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