Exact response functions within the time-dependent Gutzwiller approach

Author: Bünemann J.   Wasner S.   Oelsen E.v.   Seibold G.  

Publisher: Taylor & Francis Ltd

E-ISSN: 1478-6443|95|5-6|550-562

ISSN: 1478-6443

Source: Philosophical Magazine, Vol.95, Iss.5-6, 2015-02, pp. : 550-562

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Abstract

We investigate the applicability of the two existing versions of a time-dependent Gutzwiller approach (TDGA) beyond the frequently used limit of infinite spatial dimensions. To this end, we study the two-particle response functions of a two-site Hubbard model where we can compare the exact results and those derived from the TDGA. It turns out that only the more recently introduced version of the TDGA can be combined with a diagrammatic approach which allows for the evaluation of Gutzwiller wave functions in finite dimensions. For this TDGA method, we derive the time-dependent Lagrangian for general single-band Hubbard models.