Matrix-valued Boltzmann equation for the nonintegrable Hubbard chain.

@article{Frst2013MatrixvaluedBE,
  title={Matrix-valued Boltzmann equation for the nonintegrable Hubbard chain.},
  author={Martin L R F{\"u}rst and C. B. Mendl and H. Spohn},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={88 1},
  pages={
          012108
        }
}
  • Martin L R Fürst, C. B. Mendl, H. Spohn
  • Published 2013
  • Mathematics, Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • The standard Fermi-Hubbard chain becomes nonintegrable by adding to the nearest neighbor hopping additional longer range hopping amplitudes. We assume that the quartic interaction is weak and investigate numerically the dynamics of the chain on the level of the Boltzmann type kinetic equation. Only the spatially homogeneous case is considered. We observe that the huge degeneracy of stationary states in the case of nearest neighbor hopping is lost and the convergence to the thermal Fermi-Dirac… CONTINUE READING
    15 Citations

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