English

Derivation of a Matrix-valued Boltzmann Equation for the Hubbard Model

Statistical Mechanics 2015-06-16 v2

Abstract

For the spin-\{1}{2} Fermi-Hubbard model we derive the kinetic equation valid for weak interactions by using time-dependent perturbation expansion up to second order. In recent theoretical and numerical studies the kinetic equation has been merely stated without further details. In this contribution we provide the required background material.

Keywords

Cite

@article{arxiv.1306.0934,
  title  = {Derivation of a Matrix-valued Boltzmann Equation for the Hubbard Model},
  author = {Martin L. R. Fürst and Jani Lukkarinen and Peng Mei and Herbert Spohn},
  journal= {arXiv preprint arXiv:1306.0934},
  year   = {2015}
}

Comments

18 pages, 3 figures