Thursday, June 6, 2013

1306.0934 (Martin L. R. Fürst et al.)

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

Martin L. R. Fürst, Jani Lukkarinen, Peng Mei, Herbert Spohn
For the spin-$\tfrac{1}{2}$ 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.
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