Phenomenology of one-dimensional quantum liquids beyond the low-energy limit.

@article{Imambekov2009PhenomenologyOO,
  title={Phenomenology of one-dimensional quantum liquids beyond the low-energy limit.},
  author={Adilet Imambekov and Leonid I. Glazman},
  journal={Physical review letters},
  year={2009},
  volume={102 12},
  pages={126405}
}
We consider the zero temperature behavior of dynamic response functions of 1D systems near edges of support in the momentum-energy plane (k,omega). The description of the singularities of dynamic response functions near an edge epsilon(k) is given by the effective Hamiltonian of a mobile impurity moving in a Luttinger liquid. For Galilean-invariant systems, we relate the parameters of such an effective Hamiltonian to the properties of the function epsilon(k). This allows us to express the… CONTINUE READING