Spectral moment sum rules for strongly correlated electrons in time-dependent electric fields

Details Spectral moment sum rules for strongly correlated electrons in time-dependent electric fields Spectral moment sum rules for strongly correlated electrons in time-dependent electric fields

2005-11-02

arxiv.org/abs/cond-mat/0511063v1

Phys. Rev. B 73 075108--1-15 (2006); Erratum, Phys. Rev. B 73, 209902(E)-1--1 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

(16 pages, submitted to Phys. Rev. B)

Scientific paper

10.1103/PhysRevB.73.209902

We derive exact operator average expressions for the first two spectral moments of nonequilibrium Green's functions for the Falicov-Kimball model and the Hubbard model in the presence of a spatially uniform, time-dependent electric field. The moments are similar to the well-known moments in equilibrium, but we extend those results to systems in arbitrary time-dependent electric fields. Moment sum rules can be employed to estimate the accuracy of numerical calculations; we compare our theoretical results to numerical calculations for the nonequilibrium dynamical mean-field theory solution of the Falicov-Kimball model at half-filling.

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