Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Linear-response dynamics from the time-dependent Gutzwiller approximation


Bünemann,  J.
Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available

Bünemann, J., Capone, M., Lorenzana, J., & Seibold, G. (2013). Linear-response dynamics from the time-dependent Gutzwiller approximation. New Journal of Physics, 15: 053050.

Cite as: https://hdl.handle.net/21.11116/0000-000E-C653-5
Within a Lagrangian formalism, we derive the time-dependent Gutzwiller approximation for general multi-band Hubbard models. Our approach explicitly incorporates the coupling between time-dependent variational parameters and a time-dependent density matrix from which we obtain dynamical correlation functions in the linear-response regime. Our results are illustrated for the one-band model where we show that the interacting system can be mapped to an effective problem of fermionic quasiparticles coupled to 'doublon' (double occupancy) bosonic fluctuations. The latter have an energy on the scale of the on-site Hubbard repulsion U in the dilute limit but become soft at the Brinkman-Rice transition, which is shown to be related to an emerging conservation law of doublon charge and the associated gauge invariance. Coupling with the boson mode produces a structure in the charge response and we find that a similar structure appears in dynamical mean-field theory.